A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation

GÜLYAZ ÖZYURT S., KARAPINAR E., Yuce I. S.

FIXED POINT THEORY AND APPLICATIONS, vol.2013, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1812-2013-38
  • Journal Name: FIXED POINT THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: coupled coincidence point, coupled fixed point, mixed monotone property, implicit relation, ordered partial metric space, O-compatible, MIXED MONOTONE MAPPINGS, FIXED-POINT, NONLINEAR CONTRACTIONS, SETS
  • TED University Affiliated: Yes

Abstract

In this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our main theorem improves and extends various results in the literature. We also state some examples to illustrate our work.