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GENERALIZED DARBO'S THEOREM AND ITS APPLICATION

Salahifard, H.; Vaezpour, S. M.; Malkowsky, E.


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  <dc:creator>Salahifard, H.</dc:creator>
  <dc:creator>Vaezpour, S. M.</dc:creator>
  <dc:creator>Malkowsky, E.</dc:creator>
  <dc:date>2015-01-01</dc:date>
  <dc:description>In the present paper, using a mapping H : R+ -&gt; R, we introduce a new type of set contraction called H-set contraction and prove a new fixed point theorem concerning H-set contraction which is a generalization of Darbo's fixed point theorem. For the some concrete mappings H, we obtain the set contractions of the type known from the literature and also k-set contraction. The article includes the examples of H-set contractions and some examples showing that the obtained extension is significant. We also show the applicability of the obtained results to the theory of functional integral equations.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/78217</dc:identifier>
  <dc:identifier>oai:zenodo.org:78217</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 16(8) 1673-1680</dc:source>
  <dc:title>GENERALIZED DARBO'S THEOREM AND ITS APPLICATION</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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