Set-valued fixed point results with application to Fredholm-type integral inclusion

In this manuscript, using the concept of a couple $[f ~h] $ called generalized upper-class of type-III and $(\alpha _*,\eta _*)_\beta $-contraction, multi-valued fixed-point results are established in metric spaces. Our results generalized many results in the current literature. Further our methods...

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Main Authors:	Muhammad Shoaib, Muhammad Sarwar, Cemil Tunç
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2020-01-01
Series:	Journal of Taibah University for Science
Subjects:	fixed point $(\alpha _* \eta _)_\beta $-contraction generalized upper-class of type-iii fredholm-type integral inclusion $(\alpha _ \eta _* a)_\beta $-integral-type contraction
Online Access:	http://dx.doi.org/10.1080/16583655.2020.1803554

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spelling	doaj-af893bbd38e1467188767a8a31187cdd2021-01-26T12:13:36ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552020-01-011411077108810.1080/16583655.2020.18035541803554Set-valued fixed point results with application to Fredholm-type integral inclusionMuhammad Shoaib0Muhammad Sarwar1Cemil Tunç2Department of Mathematics, University of MalakandDepartment of Mathematics, University of MalakandDepartment of Mathematics, Faculty of Sciences, Van Yuzuncu Yil UniversityIn this manuscript, using the concept of a couple $[f ~h] $ called generalized upper-class of type-III and $(\alpha _,\eta _)_\beta $-contraction, multi-valued fixed-point results are established in metric spaces. Our results generalized many results in the current literature. Further our methods can be applicable to the study of consensus problems. For the authenticity of the presented work, example and existence theorem for Fredholm-type integral inclusion are also discussed.http://dx.doi.org/10.1080/16583655.2020.1803554fixed point $(\alpha _* \eta _)_\beta $-contractiongeneralized upper-class of type-iiifredholm-type integral inclusion $(\alpha _ \eta _* a)_\beta $-integral-type contraction
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammad Shoaib Muhammad Sarwar Cemil Tunç
spellingShingle	Muhammad Shoaib Muhammad Sarwar Cemil Tunç Set-valued fixed point results with application to Fredholm-type integral inclusion Journal of Taibah University for Science fixed point $(\alpha _* \eta _)_\beta $-contraction generalized upper-class of type-iii fredholm-type integral inclusion $(\alpha _ \eta _* a)_\beta $-integral-type contraction
author_facet	Muhammad Shoaib Muhammad Sarwar Cemil Tunç
author_sort	Muhammad Shoaib
title	Set-valued fixed point results with application to Fredholm-type integral inclusion
title_short	Set-valued fixed point results with application to Fredholm-type integral inclusion
title_full	Set-valued fixed point results with application to Fredholm-type integral inclusion
title_fullStr	Set-valued fixed point results with application to Fredholm-type integral inclusion
title_full_unstemmed	Set-valued fixed point results with application to Fredholm-type integral inclusion
title_sort	set-valued fixed point results with application to fredholm-type integral inclusion
publisher	Taylor & Francis Group
series	Journal of Taibah University for Science
issn	1658-3655
publishDate	2020-01-01
description	In this manuscript, using the concept of a couple $[f ~h] $ called generalized upper-class of type-III and $(\alpha _,\eta _)_\beta $-contraction, multi-valued fixed-point results are established in metric spaces. Our results generalized many results in the current literature. Further our methods can be applicable to the study of consensus problems. For the authenticity of the presented work, example and existence theorem for Fredholm-type integral inclusion are also discussed.
topic	fixed point $(\alpha _* \eta _)_\beta $-contraction generalized upper-class of type-iii fredholm-type integral inclusion $(\alpha _ \eta _* a)_\beta $-integral-type contraction
url	http://dx.doi.org/10.1080/16583655.2020.1803554
work_keys_str_mv	AT muhammadshoaib setvaluedfixedpointresultswithapplicationtofredholmtypeintegralinclusion AT muhammadsarwar setvaluedfixedpointresultswithapplicationtofredholmtypeintegralinclusion AT cemiltunc setvaluedfixedpointresultswithapplicationtofredholmtypeintegralinclusion
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Set-valued fixed point results with application to Fredholm-type integral inclusion

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