Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings

Pasquale Vetro, Erdal Karapinar, Nawab Hussain, Peyman Salimi, Nawab Hussain

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

Abstract

In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.
Original languageEnglish
Pages (from-to)1-14
Number of pages0
JournalFixed Point Theory and Applications
Volume2013
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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