New Fuzzy Fixed Point Results in Generalized Fuzzy Metric Spaces With Application to Integral Equations

Ashraf, Muhammad Sohail; Ali, Rashid; Hussain, Nawab

doi:10.1109/access.2020.2994130

Cited by 17 publications

(4 citation statements)

References 20 publications

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“…Many researchers have studied this topic because it has many applications. Related to this matter, we suggest the recent literature [29][30][31][32][33][34][35] and the references therein.…”

Section: Application To Nonlinear Fractional Differential Equationmentioning

confidence: 93%

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

Hussain¹,

Alsulami²,

Alamri³

2023

Computer Modeling in Engineering &Amp; Sciences

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In this paper, we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces. Furthermore, we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated with S λ and consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations. We also establish certain interesting examples to illustrate the usability of our results.

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Section: Application To Nonlinear Fractional Differential Equationmentioning

confidence: 93%

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

Hussain¹,

Alsulami²,

Alamri³

2023

Computer Modeling in Engineering &Amp; Sciences

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“…Then fuzzy metric space was extended by many authors (see [5][6][7][8][9][10]). Recently, Ashraf et al [11] established some fuzzy fixed point theorems in generalized fuzzy metric spaces in the year 2020.…”

Section: Introductionmentioning

confidence: 99%

Solving an integral equation via generalized controlled fuzzy metrics

Mani

Gnanaprakasam

Dinmohammadi

et al. 2022

Fixed Point Theory Algorithms Sci Eng

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The purpose of this manuscript is to obtain some fixed point results in generalized controlled fuzzy metric spaces. Our results generalize and extend many of the previous findings in the same approach. Moreover, two examples to support our theorems are obtained. Finally, to examine and strengthen the theoretical results, the existence and uniqueness of the solution to a nonlinear integral equation is studied as a kind of application.

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“…Fixed point results describe the conditions under which a mathematical problem has a solution. Some fixed point results can be seen in [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications

Mehmood

Khan

Latif

et al. 2021

Journal of Function Spaces

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We study Knaster-Kuratowski-Mazurkiewicz theorem in the setting of generalized metric spaces. We establish some results on fixed points of Knaster-Kuratowski-Mazurkiewicz (KKM) mappings. Fan’s matching and Schauder’s type fixed point theorem in generalized metric spaces are also proved as interesting consequences of our main results. Examples are given to validate our results. We use these results to prove existence result for a given Atangana-Baleanu-Caputo fractional boundary value problem.

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New Fuzzy Fixed Point Results in Generalized Fuzzy Metric Spaces With Application to Integral Equations

Cited by 17 publications

References 20 publications

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

Solving an integral equation via generalized controlled fuzzy metrics

Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications

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