Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications

Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications

The main aim of this paper is to study and establish some new fixed point theorems for contractive maps that satisfied Mizoguchi-Takahashi’s condition in the setting of bicomplex-valued metric spaces. These new results improve and generalize the Banach contraction principle and some well-known resul...

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Main Authors: Fuli He, Z. Mostefaoui, M. Abdalla
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/4070324
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spelling doaj-f2a2759409e14a84bffd14353bfda0812020-11-25T04:02:21ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/40703244070324Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and ApplicationsFuli He0Z. Mostefaoui1M. Abdalla2School of Mathematics and Statistics, Central South University, Changsha 410083, ChinaDepartment of Mathematics, E.N.S, B.P. 92 Vieux Kouba 16050 Algiers, AlgeriaMathematics Department, Faculty of Science, King Khalid University, Abha, Saudi ArabiaThe main aim of this paper is to study and establish some new fixed point theorems for contractive maps that satisfied Mizoguchi-Takahashi’s condition in the setting of bicomplex-valued metric spaces. These new results improve and generalize the Banach contraction principle and some well-known results in the literature. Finally, as applications of our results, we give the existence and uniqueness of the solution of a nonlinear integral equation.http://dx.doi.org/10.1155/2020/4070324
collection DOAJ
language English
format Article
sources DOAJ
author Fuli He
Z. Mostefaoui
M. Abdalla
spellingShingle Fuli He
Z. Mostefaoui
M. Abdalla
Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications
Journal of Function Spaces
author_facet Fuli He
Z. Mostefaoui
M. Abdalla
author_sort Fuli He
title Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications
title_short Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications
title_full Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications
title_fullStr Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications
title_full_unstemmed Fixed Point Theorems for Mizoguchi-Takahashi Type Contraction in Bicomplex-Valued Metric Spaces and Applications
title_sort fixed point theorems for mizoguchi-takahashi type contraction in bicomplex-valued metric spaces and applications
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description The main aim of this paper is to study and establish some new fixed point theorems for contractive maps that satisfied Mizoguchi-Takahashi’s condition in the setting of bicomplex-valued metric spaces. These new results improve and generalize the Banach contraction principle and some well-known results in the literature. Finally, as applications of our results, we give the existence and uniqueness of the solution of a nonlinear integral equation.
url http://dx.doi.org/10.1155/2020/4070324
work_keys_str_mv AT fulihe fixedpointtheoremsformizoguchitakahashitypecontractioninbicomplexvaluedmetricspacesandapplications
AT zmostefaoui fixedpointtheoremsformizoguchitakahashitypecontractioninbicomplexvaluedmetricspacesandapplications
AT mabdalla fixedpointtheoremsformizoguchitakahashitypecontractioninbicomplexvaluedmetricspacesandapplications
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