Next Article in Journal
Selective Survey on Spaces of Closed Subgroups of Topological Groups
Next Article in Special Issue
On the Fixed-Circle Problem and Khan Type Contractions
Previous Article in Journal
On the Degree-Based Topological Indices of the Tickysim SpiNNaker Model
Article Menu

Export Article

Open AccessArticle
Axioms 2018, 7(4), 74; https://doi.org/10.3390/axioms7040074

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

1,*,†
,
1,†
,
2,3,†
and
1,†
1
Department of Mathematics, University Kebangsaan Malaysia, Bangi 43600, Malaysia
2
Department of Mathematics, Hashemite University, Zarqa 1315, Jordan
3
Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 18 September 2018 / Revised: 14 October 2018 / Accepted: 15 October 2018 / Published: 25 October 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Full-Text   |   PDF [789 KB, uploaded 25 October 2018]

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. View Full-Text
Keywords: common fixed point; metric-like space; α-Geraghty contraction; triangular α-admissible mapping common fixed point; metric-like space; α-Geraghty contraction; triangular α-admissible mapping
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Qawaqneh, H.; Noorani, M.; Shatanawi, W.; Alsamir, H. Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces. Axioms 2018, 7, 74.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top