Coupled Fixed Point Theorems for Contractive Mappings Involving New Function Classes and Applications

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Ansari A. H., IŞIK H., Radenovic S.

FILOMAT, vol.31, no.7, pp.1893-1907, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 7
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1707893a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1893-1907
  • Keywords: Coupled fixed point, mixed monotone mapping, alpha-admissible mappings, mu-subadmissible mappings, partially ordered set, nonlinear integral equation, ORDINARY DIFFERENTIAL-EQUATIONS, PARTIALLY ORDERED SETS
  • Open Archive Collection: AVESIS Open Access Collection
  • Gazi University Affiliated: No

Abstract

The aim of this paper is to introduce the notions of alpha-(F, H)-(phi, psi) and mu-(F, H)-(phi, psi) contractions and present several coupled fixed point theorems for this type of contractions in the set of ordered metric spaces. Several examples are offered to illustrate the validity of the obtained results. As an application, the existence of a solution of Fredholm nonlinear integral equations are also investigated.