Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications

In this article, some fixed point results satisfying an extended multi-valued F-contraction mapping in the context of metric-like spaces are developed. Also, some standard examples are dressed to support our theoretical consequences. Finally, we conclude our paper with two important applications for...

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Main Authors: Hasanen A. Hammad, Manuel De la Sen, Hassen Aydi
Format: Article
Language:English
Published: Elsevier 2020-10-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820303057
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spelling doaj-26627d48626b48c9befcd59005fa400e2021-06-02T12:43:36ZengElsevierAlexandria Engineering Journal1110-01682020-10-0159538173825Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applicationsHasanen A. Hammad0Manuel De la Sen1Hassen Aydi2Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptInstitute of Research and Development of Processes University of the Basque Country 48940 Leioa (Bizkaia), SpainNonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; Corresponding author at: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam.In this article, some fixed point results satisfying an extended multi-valued F-contraction mapping in the context of metric-like spaces are developed. Also, some standard examples are dressed to support our theoretical consequences. Finally, we conclude our paper with two important applications for the system of functional equations and to find a bounded solution for a class of a Fredholm type integral inclusion.http://www.sciencedirect.com/science/article/pii/S1110016820303057Fixed point techniquegeneralized F-contractionDynamic programmingintegral inclusions
collection DOAJ
language English
format Article
sources DOAJ
author Hasanen A. Hammad
Manuel De la Sen
Hassen Aydi
spellingShingle Hasanen A. Hammad
Manuel De la Sen
Hassen Aydi
Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications
Alexandria Engineering Journal
Fixed point technique
generalized F-contraction
Dynamic programming
integral inclusions
author_facet Hasanen A. Hammad
Manuel De la Sen
Hassen Aydi
author_sort Hasanen A. Hammad
title Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications
title_short Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications
title_full Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications
title_fullStr Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications
title_full_unstemmed Generalized dynamic process for an extended multi-valued F-contraction in metric-like spaces with applications
title_sort generalized dynamic process for an extended multi-valued f-contraction in metric-like spaces with applications
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2020-10-01
description In this article, some fixed point results satisfying an extended multi-valued F-contraction mapping in the context of metric-like spaces are developed. Also, some standard examples are dressed to support our theoretical consequences. Finally, we conclude our paper with two important applications for the system of functional equations and to find a bounded solution for a class of a Fredholm type integral inclusion.
topic Fixed point technique
generalized F-contraction
Dynamic programming
integral inclusions
url http://www.sciencedirect.com/science/article/pii/S1110016820303057
work_keys_str_mv AT hasanenahammad generalizeddynamicprocessforanextendedmultivaluedfcontractioninmetriclikespaceswithapplications
AT manueldelasen generalizeddynamicprocessforanextendedmultivaluedfcontractioninmetriclikespaceswithapplications
AT hassenaydi generalizeddynamicprocessforanextendedmultivaluedfcontractioninmetriclikespaceswithapplications
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