Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications

Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications

We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results...

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Main Authors: Mujahid Abbas, Hira Iqbal, Manuel De La Sen
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2019/8509494
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spelling doaj-815299a28a1441d28d561d5429ae21862020-11-25T02:35:11ZengHindawi LimitedJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/85094948509494Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with ApplicationsMujahid Abbas0Hira Iqbal1Manuel De La Sen2Department of Mathematics, Government College University, Lahore 54000, PakistanDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, PakistanInstitute of Research and Development of Processes, University of The Basque Country, Campus of Leioa (Bizkaia), 48080 Leioa, SpainWe present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results unify, extend, and refine various results in the literature. Some fixed point results for both single and multivalued (θ,ϝ) rational contractions are also obtained in the framework of a space endowed with partial order. As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem.http://dx.doi.org/10.1155/2019/8509494
collection DOAJ
language English
format Article
sources DOAJ
author Mujahid Abbas
Hira Iqbal
Manuel De La Sen
spellingShingle Mujahid Abbas
Hira Iqbal
Manuel De La Sen
Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
Journal of Mathematics
author_facet Mujahid Abbas
Hira Iqbal
Manuel De La Sen
author_sort Mujahid Abbas
title Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
title_short Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
title_full Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
title_fullStr Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
title_full_unstemmed Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
title_sort common fixed points of (α,η) − (θ,ϝ) rational contractions with applications
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2019-01-01
description We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results unify, extend, and refine various results in the literature. Some fixed point results for both single and multivalued (θ,ϝ) rational contractions are also obtained in the framework of a space endowed with partial order. As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem.
url http://dx.doi.org/10.1155/2019/8509494
work_keys_str_mv AT mujahidabbas commonfixedpointsofaēthϝrationalcontractionswithapplications
AT hiraiqbal commonfixedpointsofaēthϝrationalcontractionswithapplications
AT manueldelasen commonfixedpointsofaēthϝrationalcontractionswithapplications
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