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<top_article>
 <mrnumber>MR0694915</mrnumber>
 <author>Turinici, Mihai</author>
 <author_utf8>Mihai TURINICI</author_utf8>
 <title>Differential inequalities on abstract metric spaces</title>
 <journal>Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo.               Funkcialaj Ekvaciog. Serio Internacia</journal>
 <volume>25</volume>
 <year>1982</year>
 <page>227--242</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol25/fe25-2-11.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe25-227-242/fe25-227-242.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0694915</mathsci_link>
<fesi_info>
  <FILE>fe25-227-242</FILE>
  <YEAR>1982</YEAR>
  <TITLE>Differential Inequalities on Abstract Metric Spaces</TITLE>
  <AUTHOR>TURINICI, Mihai</AUTHOR>
  <AUTHOR_utf8>TURINICI, Mihai</AUTHOR_utf8>
</fesi_info>

<references>
  <book>
    <bibitem>1</bibitem>
    <author>Acz&#233;l, J.</author>
    <booktitle>On applications and theory of functional equations</booktitle>
    <publisher>Birkh&#228;user Verlag, Basel</publisher>
    <year>1969</year>
    <mr>MR0240491</mr>
    <score>100</score>
    <query_string>Cache/Ac/Acz&#233;l,applications,*,1969,1970</query_string>
    <page>64</page>
  </book>

  <article>
    <bibitem>2</bibitem>
    <author>Bebernes, J.; Meisters, G. H.</author>
    <title>Differential inequalities with countable exceptional sets</title>
    <journal>J. Differential Equations</journal>
    <vol>2</vol>
    <year>1966</year>
    <page>391-398</page>
    <mr>MR0206184</mr>
    <score>100</score>
    <query_string>Cache/Be/Bebernes,*,J*,1966,1967</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Bebernes, J.; Meisters, G. H.</author>
    <title>An elementary proof of some differential inequalities</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>17</vol>
    <year>1967</year>
    <page>92-98</page>
    <mr>MR0202938</mr>
    <score>100</score>
    <query_string>Cache/Be/Bebernes,elementary,J*,1967,1968</query_string>
  </article>

  <book>
    <bibitem>4</bibitem>
    <author>Blumenthal, L. M.; Menger, K.</author>
    <booktitle>Studies in geometry</booktitle>
    <publisher>W. H. Freeman and Co., San Francisco</publisher>
    <year>1970</year>
    <mr>MR0273492</mr>
    <score>100</score>
    <query_string>Cache/Bl/Blumenthal,geometry,*,1970,1971</query_string>
    <page>xiv+512</page>
  </book>

  <article>
    <bibitem>5</bibitem>
    <author>Bony, J. M.</author>
    <title>Principe du maximum, in&#233;galit&#233; de Harnack et unicit&#233; du probl&#232;me de Cauchy pour les op&#233;rateurs elliptiques d&#233;g&#233;n&#233;res</title>
    <journal>Ann. Inst. Fourier (Grenoble)</journal>
    <vol>19</vol>
    <year>1969</year>
    <page>277-304</page>
    <mr>MR0262881</mr>
    <score>94</score>
    <query_string>Cache/Bo/Bony,Principe,Ann*,1969,1970</query_string>
  </article>

  <book>
    <bibitem>6</bibitem>
    <author>Bourbaki, N.</author>
    <booktitle>EI&#233;merits de math&#233;matique, Fonctions d'une variable r&#233;ele, chs. I-III</booktitle>
    <publisher>Hermann, Paris</publisher>
    <year>1958</year>
    <page>247</page>
    <mr>MR0151354</mr>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>Br&#233;zis, E.</author>
    <title>On a characterization of flow-invariant sets</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>23</vol>
    <year>1970</year>
    <page>261-263</page>
    <mr>MR0257511</mr>
    <query_string>Cache/Br/Br\',characterization,Comm*,1970,1971</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Br&#233;zis, H.; Browder, F. E.</author>
    <title>A general principle on ordered sets in nonlinear functional analysis</title>
    <journal>Advances in Math.</journal>
    <vol>21</vol>
    <year>1976</year>
    <page>355-364</page>
    <mr>MR0425688</mr>
    <query_string>Cache/Br/Br\',functional,Advances*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Br&#248;ndsted, A.</author>
    <title>On a lemma of Bishop and Phelps</title>
    <journal>Pacific J. Math.</journal>
    <vol>55</vol>
    <year>1974</year>
    <page>335-341</page>
    <mr>MR0380343</mr>
    <score>100</score>
    <query_string>Cache/Br/Br\o ndsted,Bishop,Pacific*,1974,1975</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Br&#248;ndsted, A.</author>
    <title>Fixed points and partial orders</title>
    <journal>Proc, Amer. Math. Soc.</journal>
    <vol>60</vol>
    <year>1976</year>
    <page>365-366</page>
    <mr>MR0417867</mr>
    <query_string>Cache/Br/Br\o ndsted,partial,Proc,*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Br&#248;ndsted, A.</author>
    <title>Common fixed points and partial orders</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>77</vol>
    <year>1979</year>
    <page>365-368</page>
    <mr>MR0545597</mr>
    <score>100</score>
    <query_string>Cache/Br/Br\o ndsted,partial,Proc*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Browder, F. E.</author>
    <title>On a theorem of Caristi and Kirk</title>
    <journal>Fixed Point Theory and its Applications</journal>
    <year>1976</year>
    <page>23-27</page>
    <mr>MR0461474</mr>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Caristi, J.</author>
    <title>Fixed point theorems for mappings satisfying inwardness conditions</title>
    <journal>Trans. Amer. Math. Soc.</journal>
    <vol>215</vol>
    <year>1976</year>
    <page>241-251</page>
    <mr>MR0394329</mr>
    <score>100</score>
    <query_string>Cache/Ca/Caristi,satisfying,Trans*,1976,1977</query_string>
  </article>

  <book>
    <bibitem>14</bibitem>
    <author>Dieudonn&#233;, J.</author>
    <booktitle>Foundations of modern analysis</booktitle>
    <publisher>Academic Press, New York</publisher>
    <year>1960</year>
    <mr>MR0120319</mr>
    <score>100</score>
    <query_string>Cache/Di/Dieudonn&#233;,Foundations,*,1960,1961</query_string>
    <page>xiv+361</page>
  </book>

  <article>
    <bibitem>15</bibitem>
    <author>Downing, D.; Kirk, W. A.</author>
    <title>A generalization of Caristi's theorem with applications to nonlinear mapping theory</title>
    <journal>Pacific. J. Math.</journal>
    <vol>69</vol>
    <year>1977</year>
    <page>339-346</page>
    <mr>MR0440426</mr>
    <score>100</score>
    <query_string>Cache/Do/Downing,generalization,Pacific*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Ekeland, I.</author>
    <title>Sur les probl&#232;mes variationnels</title>
    <journal>C. R. Acad. Sci. Paris</journal>
    <vol>275</vol>
    <year>1972</year>
    <page>1057-1059</page>
    <mr>MR0310670</mr>
    <score>100</score>
    <query_string>Cache/Ek/Ekeland,variationnels,C*,1972,1973</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Ekeland, I.</author>
    <title>On the variational principle</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>47</vol>
    <year>1974</year>
    <page>324-353</page>
    <mr>MR0346619</mr>
    <score>100</score>
    <query_string>Cache/Ek/Ekeland,variational,J*,1974,1975</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Ekeland, I.</author>
    <title>Nonconvex minimization problems</title>
    <journal>Bull. Amer. Math. Soc. (New Serfies)</journal>
    <vol>1</vol>
    <year>1979</year>
    <page>443-474</page>
    <mr>MR0526967</mr>
    <score>100</score>
    <query_string>Cache/Ek/Ekeland,minimization,Bull*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Kamont, Z.</author>
    <title>On the Chaplygin method for differential-functional equations</title>
    <journal>Demonstratio Math.</journal>
    <vol>13</vol>
    <year>1980</year>
    <page>227-249</page>
    <mr>MR0593072</mr>
    <score>100</score>
    <query_string>Cache/Ka/Kamont,differential-functional,Demonstratio*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Kasahara, S.</author>
    <title>On fixed points in partially ordered sets and Kirk-Caristi fheorem</title>
    <journal>Math. Sem. Notes Kobe Univ.</journal>
    <vol>3</vol>
    <year>1975</year>
    <page>229-232</page>
    <mr>MR0405396</mr>
    <score>90</score>
    <query_string>Cache/Ka/Kasahara,Kirk-Caristi,Math*,1975,1976</query_string>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Kirk, W. A.</author>
    <title>Caristi's fixed point theorem and metric convexity</title>
    <journal>Colloq. Math.</journal>
    <vol>36</vol>
    <year>1976</year>
    <page>81-86</page>
    <mr>MR0436111</mr>
    <score>100</score>
    <query_string>Cache/Ki/Kirk,Caristi's,Colloq*,1976,1977</query_string>
  </article>

  <book>
    <bibitem>22</bibitem>
    <author>Kuratowski, C.</author>
    <booktitle>Topologie, vol. II</booktitle>
    <publisher>P.W.N., Warszawa</publisher>
    <year>1961</year>
    <mr>MR0133124</mr>
    <page>ix+524</page>
  </book>

  <book>
    <bibitem>23</bibitem>
    <author>Lakshmikantham, V.; Leela, S.</author>
    <booktitle>Differential and integral inequalities, vol. I</booktitle>
    <publisher>Academic Press, New York</publisher>
    <year>1969</year>
    <mr>MR0379933</mr>
    <page>ix+390</page>
  </book>

  <book>
    <bibitem>23</bibitem>
    <author>Lakshmikantham, V.; Leela, S.</author>
    <booktitle>Differential and integral inequalities, vol. II</booktitle>
    <publisher>Academic Press, New York</publisher>
    <year>1969</year>
    <mr>MR0379934</mr>
    <page>ix+390</page>
  </book>

  <book>
    <bibitem>24</bibitem>
    <author>Nachbin, L.</author>
    <booktitle>Topology and order</booktitle>
    <publisher>Van Nostrand, Princeton, New Jersey</publisher>
    <year>1965</year>
    <mr>MR0219042</mr>
    <score>100</score>
    <query_string>Cache/Na/Nachbin,Topology,*,1965,1966</query_string>
    <page>vi+122</page>
  </book>

  <article>
    <bibitem>25</bibitem>
    <author>Pasicki, L.</author>
    <title>A short proof of the Caristi theorem</title>
    <journal>Comment. Math.</journal>
    <vol>20</vol>
    <year>1978</year>
    <page>427-428</page>
    <mr>MR0519379</mr>
    <score>100</score>
    <query_string>Cache/Pa/Pasicki,Caristi,Comment*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>26</bibitem>
    <author>Pavel, N.; Vrabie, I.</author>
    <title>Equations d'&#233;volution multivoques dans les espaces de Banach</title>
    <journal>C. R. Acad. Sci. Paris</journal>
    <vol>287</vol>
    <year>1978</year>
    <page>315-317</page>
    <mr>MR0513204</mr>
    <score>87</score>
    <query_string>Cache/Pa/Pavel,*,C*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>27</bibitem>
    <author>Pavel, N.; Vrabie, I.</author>
    <title>Semilinear evolution equations with multivalued right-hand side in Banach spaces</title>
    <journal>An. St. Univ. "Al. I. Cuza" Iasi</journal>
    <vol>25</vol>
    <year>1979</year>
    <page>137-157</page>
    <mr>MR0553132</mr>
    <query_string>Cache/Pa/Pavel,Semi-linear,An*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>28</bibitem>
    <author>Redheffer, R. M.</author>
    <title>The theorems of Bony and Br&#233;zis on flow-invariant sets</title>
    <journal>Amer. Math. Monthly</journal>
    <vol>79</vol>
    <year>1972</year>
    <page>740-747</page>
    <mr>MR0303024</mr>
    <score>88</score>
    <query_string>Cache/Re/Redheffer,flow-invariant,Amer*,1972,1973</query_string>
  </article>

  <article>
    <bibitem>29</bibitem>
    <author>Siegel, J.</author>
    <title>A new proof of Caristi's fixed point theorem</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>66</vol>
    <year>1977</year>
    <page>54-56</page>
    <mr>MR0458403</mr>
    <score>100</score>
    <query_string>Cache/Si/Siegel,Caristi's,Proc*,1977,1978</query_string>
  </article>

  <book>
    <bibitem>30</bibitem>
    <author>Szarski, J.</author>
    <booktitle>Differential inequalities</booktitle>
    <publisher>P.W.N., Warszawa</publisher>
    <year>1965</year>
    <mr>MR0190409</mr>
    <query_string>Cache/Sz/Szarski,*,*,1967,1968</query_string>
  </book>

  <article>
    <bibitem>31</bibitem>
    <author>Turinici, M.</author>
    <title>Maximal elements in ordered topological spaces</title>
    <journal>Bull. Greek Math. Soc.</journal>
    <vol>20</vol>
    <year>1979</year>
    <page>141-148</page>
    <mr>MR0642437</mr>
    <score>100</score>
    <query_string>Cache/Tu/Turinici,topological,Bull*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>32</bibitem>
    <author>Turinici, M.</author>
    <title>Maximal elements in a class of order-complete metric spaces</title>
    <journal>Math. Japan.</journal>
    <vol>25</vol>
    <year>1980</year>
    <page>511-517</page>
    <mr>MR0602278</mr>
    <score>100</score>
    <query_string>Cache/Tu/Turinici,order-complete,Math*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>33</bibitem>
    <author>Turinici, M.</author>
    <title>Differential inequalities via maximal element techniques</title>
    <journal>Nonlinear Analysis</journal>
    <vol>5</vol>
    <year>1981</year>
    <page>757-763</page>
    <mr>MR0623377</mr>
  </article>

  <article>
    <bibitem>34</bibitem>
    <author>Turinici, M.</author>
    <title>Stability criteria for contractive semigroups via maximality procedures</title>
    <journal>Bull. Austral. Math. Soc.</journal>
    <vol>24</vol>
    <year>1981</year>
    <page>453-469</page>
    <mr>MR0647369</mr>
    <score>100</score>
    <query_string>Cache/Tu/Turinici,contractive,Bull*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>35</bibitem>
    <author>Turinici, M.</author>
    <title>Mean value theorems via maximal element techniques</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>88</vol>
    <year>1982</year>
    <page>48-60</page>
    <mr>MR0661401</mr>
    <score>100</score>
    <query_string>Cache/Tu/Turinici,techniques,J*,1982,1983</query_string>
  </article>

  <book>
    <bibitem>36</bibitem>
    <author>Walter, W.</author>
    <booktitle>Differential- und Integral-Ungleichungen</booktitle>
    <publisher>Springer Verlag, New York</publisher>
    <year>1964</year>
    <mr>MR0172076</mr>
    <page>xiii+269</page>
  </book>

  <article>
    <bibitem>37</bibitem>
    <author>Wong, C. S.</author>
    <title>On a fixed point theorem of contractive type</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>57</vol>
    <year>1976</year>
    <page>283-284</page>
    <mr>MR0407826</mr>
    <score>100</score>
    <query_string>Cache/Wo/Wong,contractive,Proc*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>38</bibitem>
    <author>Yorke, J. A.</author>
    <title>Invariance for ordinary differential equations</title>
    <journal>Math. Systems Theory</journal>
    <vol>1</vol>
    <year>1967</year>
    <page>353-372</page>
    <mr>MR0226105</mr>
    <score>100</score>
    <query_string>Cache/Yo/Yorke,Invariance,Math*,1967,1968</query_string>
  </article>

</references>
</top_article>
