New extension to fuzzy dynamic system and fuzzy fixed point results with an application

Ali, Amjad; Ameer, Eskandar; Aiadi, Suhad Subhi; Tariq, Muhammad Atiq Ur Rehman; Arshad, Muhammad; Mlaiki, Nabil; Shatanawi, Wasfı

doi:10.3934/math.2023061

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…Subsequently, a generalized dynamic process of mappings was explored by Hussain et al [15], who fulfilled coincidence and common FP results for generalized ( f , L)-almost F-contraction mappings. Ali et al [16] also introduced the notion of a fuzzy dynamic system, discussing new refinements of F-fuzzy Suzuki-type FP results for fuzzy operators and establishing the concept of the fuzzy dynamic system as an alternative to the Picard iterative sequence. In terms of applications, fractional differential equations have emerged in numerous branches of physics and mathematics, having a multitude of solutions that are documented in the literature.…”

Section: Introductionmentioning

confidence: 99%

A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application

Mudhesh,

Hussain,

Arshad

et al. 2023

Mathematics

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The aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral θ-contraction are established in a complete metric space. Furthermore, some corollaries are derived based on our main contribution. To demonstrate the novelty of our findings, several examples are provided. Finally, we look into whether nonlinear fractional differential equations have solutions utilizing the obtained results.

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Section: Introductionmentioning

confidence: 99%

A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application

Mudhesh,

Hussain,

Arshad

et al. 2023

Mathematics

Self Cite

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Certain new iteration of hybrid operators with contractive $ M $ -dynamic relations

Ali

Arshad

Ameer

et al. 2023

MATH

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<abstract>This article investigates Wardowski's contraction in the setting of extended distance spaces known as $ M $-metric spaces using hybrid operators based an $ M $ -dynamic iterative process. The main purpose is to observe new set-valued Chatterjea type common fixed point theorems for hybrid operators with respect to an $ M $-dynamic iterative process, i.e., $ \check{D}(\Psi _{1}, \Psi _{2}, s_{0}) $. We realize an application: the existence of a solution for a multistage system and integral equation. Also, we give a graphical interpretation of our obtained theorems. The main results are explicated with the help of a relevant example. Some important corollaries are extracted from the main theorems as well.</abstract>

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A relation theoretic m-metric fixed point algorithm and related applications

Tariq

Arshad

Abbas

et al. 2023

MATH

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<abstract>In this article, we introduce the concept of generalized rational type $ F $ -contractions on relation theoretic <italic>m</italic>-metric spaces (denoted as $ F_{R}^{m} $-contractions, where $ R $ is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type $ F_{R}^{m} $- generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form $ \Lambda = S+\sum\limits_{i = 1}^{\mu }Q_{i}^{\ast }\Xi \left(\Lambda \right) Q_{i} $.</abstract>

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New extension to fuzzy dynamic system and fuzzy fixed point results with an application

Cited by 3 publications

References 23 publications

A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application

A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application

Certain new iteration of hybrid operators with contractive $ M $ -dynamic relations

A relation theoretic <i>m</i>-metric fixed point algorithm and related applications

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