Fixed Point Results of Dynamic Process <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mover accent="true"> <mi>D</mi> <mo>ˇ</mo> </mover> <mfenced open="(" close=")" separators="|"> <mrow> <mi mathvariant="normal">ϒ</mi> <mo>,</mo> <msub> <mrow> <mi>μ</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfenced> </math> through <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <msubsup> <mi>F</mi> <mi>I</mi> <mi>C</mi> </msubsup> </math>-Contractions with Applications-Reference-Cited by-同舟云学术

Fixed Point Results of Dynamic Process $\overset{ˇ}{D} (ϒ, μ_{0})$ through $F_{I}^{C}$ -Contractions with Applications

Published:2022-02-03 Issue: Volume:2022 Page:1-8
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Ali Amjad¹,Ameer Eskandar²^ORCID,Arshad Muhammad¹,Işık Hüseyin³^ORCID,Mudhesh Mustafa¹

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

2. Department of Mathematics, Taiz University, Taiz, Yemen

3. Department of Engineering Science, Bandirma Onyedi Eylül University, Bandirma, Balikesir 10200, Turkey

Abstract

This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville‐Caputo fractional differential equations.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2022/8495451.pdf

Reference19 articles.

1. On new extensions of F-contraction with an application to integral inclusions;H. Kaddouri;U.P.B. Sci. Bull. Series A,2019

2. On multivalued Suzuki-type θ-contractions and related applications

3. New type of multivalued contractions with related results and applications;H. Işık;U.P.B. Sci. Bull. Series A,2018

4. On multivalued maps for $ \varphi $-contractions involving orbits with application

5. A fixed point theorem for mappings satisfying a general contractive condition of integral type

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Generalized Sehgal–Guseman-Like Contractions and Their Fixed-Point Results with Applications to Nonlinear Fractional Differential Equations and Boundary Value Problems for Homogeneous Transverse Bars;Mathematics;2024-02-08

2. An extension of martingale transport and stability in robust finance;Electronic Journal of Probability;2024-01-01

3. A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application;Mathematics;2023-10-17

4. On fixed points, their geometry and application to satellite web coupling problem in $ \mathcal{S}- $metric spaces;AIMS Mathematics;2023