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GENERALIZED DARBO'S THEOREM AND ITS APPLICATION

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


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{
  "@context": "https://schema.org/", 
  "@id": 78217, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran", 
      "name": "Salahifard, H."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran", 
      "name": "Vaezpour, S. M."
    }, 
    {
      "@type": "Person", 
      "name": "Malkowsky, E."
    }
  ], 
  "datePublished": "2015-01-01", 
  "description": "In the present paper, using a mapping H : R+ -> 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.", 
  "headline": "GENERALIZED DARBO'S THEOREM AND ITS APPLICATION", 
  "identifier": 78217, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "GENERALIZED DARBO'S THEOREM AND ITS APPLICATION", 
  "url": "https://aperta.ulakbim.gov.tr/record/78217"
}
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