Generalized α-ψ-contractive type mappings of integral type and related fixed point theorems

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Karapınar E., Shahi P., TAŞ K.

Journal of Inequalities and Applications, vol.2014, no.1, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2014 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1186/1029-242x-2014-160
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Complete metric space, Contractive mapping, Fixed point, Partial order
  • Uşak University Affiliated: No

Abstract

The aim of this paper is to introduce two classes of generalized α-ψ-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of relevant fixed point theorems of the existing literature. © 2014 Karapinar et al.; licensee Springer.