Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces
Abstract Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and un...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
BMC
2020-11-01
|
Series: | BMC Research Notes |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13104-020-05354-1 |
id |
doaj-8b72caa8782f49a4a9ec65a633294f71 |
---|---|
record_format |
Article |
spelling |
doaj-8b72caa8782f49a4a9ec65a633294f712020-11-25T04:03:47ZengBMCBMC Research Notes1756-05002020-11-0113111410.1186/s13104-020-05354-1Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spacesBelay Mitiku0Kalyani Karusala1Seshagiri Rao Namana2Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology UniversityDepartment of Mathematics, Vignan’s Foundation for Science, Technology and ResearchDepartment of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology UniversityAbstract Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. Result The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.http://link.springer.com/article/10.1186/s13104-020-05354-1Partially ordered b-metric spaceFixed pointCoupled coincidence pointCoupled common fixed pointCompatibleMixed f-monotone |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Belay Mitiku Kalyani Karusala Seshagiri Rao Namana |
spellingShingle |
Belay Mitiku Kalyani Karusala Seshagiri Rao Namana Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces BMC Research Notes Partially ordered b-metric space Fixed point Coupled coincidence point Coupled common fixed point Compatible Mixed f-monotone |
author_facet |
Belay Mitiku Kalyani Karusala Seshagiri Rao Namana |
author_sort |
Belay Mitiku |
title |
Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces |
title_short |
Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces |
title_full |
Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces |
title_fullStr |
Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces |
title_full_unstemmed |
Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces |
title_sort |
some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces |
publisher |
BMC |
series |
BMC Research Notes |
issn |
1756-0500 |
publishDate |
2020-11-01 |
description |
Abstract Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. Result The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature. |
topic |
Partially ordered b-metric space Fixed point Coupled coincidence point Coupled common fixed point Compatible Mixed f-monotone |
url |
http://link.springer.com/article/10.1186/s13104-020-05354-1 |
work_keys_str_mv |
AT belaymitiku somefixedpointresultsofgeneralizedphipsiphpscontractivemappingsinorderedbmetricspaces AT kalyanikarusala somefixedpointresultsofgeneralizedphipsiphpscontractivemappingsinorderedbmetricspaces AT seshagiriraonamana somefixedpointresultsofgeneralizedphipsiphpscontractivemappingsinorderedbmetricspaces |
_version_ |
1724439327888375808 |