Fixed point theorems for weakly beta-admissible pair of F-contractions with application

Fixed point theorems for weakly beta-admissible pair of F-contractions with application

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In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb. Moreover, we deduce new common fixed point results in ordered and graphic b-metric spaces. Our work generalizes several...

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Main Authors: Muhammad Nazam, Nawab Hussain, Aftab Hussain, Muhammad Arshad
Format: Article
Language:English
Published: Vilnius University Press 2019-11-01
Series:Nonlinear Analysis
Subjects:
common fixed point
(β,F)-weak contraction
β-complete b-metric space
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14903
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spelling doaj-a78aa20cbe7640e2a9aa3e92a23f53372020-11-24T21:52:44ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-11-0124610.15388/NA.2019.24.6.14903Fixed point theorems for weakly beta-admissible pair of F-contractions with applicationMuhammad Nazam0Nawab Hussain1Aftab Hussain2Muhammad Arshad3Allama Iqbal Open UniversityKing Abdulaziz UniversityKhawaja Fareed UniversityInternational Islamic University In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb. Moreover, we deduce new common fixed point results in ordered and graphic b-metric spaces. Our work generalizes several recent results existing in the literature. We set up an example to elucidate main result. We apply the main theorem to show the existence of common solution of the system of elliptic boundary value problems. http://www.journals.vu.lt/nonlinear-analysis/article/view/14903common fixed point(β,F)-weak contractionβ-complete b-metric space
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Nazam
Nawab Hussain
Aftab Hussain
Muhammad Arshad
spellingShingle Muhammad Nazam
Nawab Hussain
Aftab Hussain
Muhammad Arshad
Fixed point theorems for weakly beta-admissible pair of F-contractions with application
Nonlinear Analysis
common fixed point
(β,F)-weak contraction
β-complete b-metric space
author_facet Muhammad Nazam
Nawab Hussain
Aftab Hussain
Muhammad Arshad
author_sort Muhammad Nazam
title Fixed point theorems for weakly beta-admissible pair of F-contractions with application
title_short Fixed point theorems for weakly beta-admissible pair of F-contractions with application
title_full Fixed point theorems for weakly beta-admissible pair of F-contractions with application
title_fullStr Fixed point theorems for weakly beta-admissible pair of F-contractions with application
title_full_unstemmed Fixed point theorems for weakly beta-admissible pair of F-contractions with application
title_sort fixed point theorems for weakly beta-admissible pair of f-contractions with application
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2019-11-01
description In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb. Moreover, we deduce new common fixed point results in ordered and graphic b-metric spaces. Our work generalizes several recent results existing in the literature. We set up an example to elucidate main result. We apply the main theorem to show the existence of common solution of the system of elliptic boundary value problems.
topic common fixed point
(β,F)-weak contraction
β-complete b-metric space
url http://www.journals.vu.lt/nonlinear-analysis/article/view/14903
work_keys_str_mv AT muhammadnazam fixedpointtheoremsforweaklybetaadmissiblepairoffcontractionswithapplication
AT nawabhussain fixedpointtheoremsforweaklybetaadmissiblepairoffcontractionswithapplication
AT aftabhussain fixedpointtheoremsforweaklybetaadmissiblepairoffcontractionswithapplication
AT muhammadarshad fixedpointtheoremsforweaklybetaadmissiblepairoffcontractionswithapplication
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