Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces

Haitham Qawaqneh, Mohd. Salmi Md. Noorani, Wasfi Shatanawi, Habes Alsamir

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty (α,ψ,ϕ)-quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an application to show the superiority of our results. The obtained results progress some well-known fixed (common fixed) point results in the literature. Our main results cannot be specifically attained from the corresponding metric space versions. This paper is scientifically novel because we take Geraghty contraction self-mapping in partially ordered metric-like spaces via α-admissible mapping. This opens the door to other possible fixed (common fixed) point results for non-self-mapping and in other generalizing metric spaces.

Original languageEnglish
Article number74
JournalAxioms
Volume7
Issue number4
DOIs
Publication statusPublished - 25 Oct 2018

Fingerprint

Common Fixed Point
Fixed point theorem
Contraction
Metric
Metric space

Keywords

  • Common fixed point
  • Metric-like space
  • Triangular α-admissible mapping
  • α-Geraghty contraction

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics
  • Logic
  • Geometry and Topology

Cite this

Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces. / Qawaqneh, Haitham; Md. Noorani, Mohd. Salmi; Shatanawi, Wasfi; Alsamir, Habes.

In: Axioms, Vol. 7, No. 4, 74, 25.10.2018.

Research output: Contribution to journalArticle

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