New iterative scheme for fixed point results of weakly compatible maps in multiplicative $ {G_{\boldsymbol{M}}}- $metric space via various contractions with application-Reference-Cited by-同舟云学术

New iterative scheme for fixed point results of weakly compatible maps in multiplicative $ {G_{\boldsymbol{M}}}- $metric space via various contractions with application

Published:2022 Issue:8 Volume:7 Page:13681-13703
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gamal Mohamed¹,Rasham Tahair²,Cholamjiak Watcharaporn³,Shi Fu-Gui⁴,Park Choonkil⁵

Affiliation:

1. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

2. Department of Mathematics, University of Poonch Rawalakot, Azad Kashmir, Pakistan

3. School of Science, University of Phayao, Phayao 56000, Thailand

4. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China

5. Research Institute for Natural Science, Hanyang University, Seoul 04763, Korea

Abstract

<abstract><p>In this manuscript, we induced several vivid common fixed point theorems for four maps in the setting of complete multiplicative $ {G_{\boldsymbol{M}}}- $metric space via various contractive conditions such as $ \Delta $-implicit contractions. Some new definitions and results are introduced in multiplicative $ {G_{\boldsymbol{M}}}- $ metric space.Moreover, illustrative examples are given to validate our obtained results and an application to a system of nonlinear integral equations are provided to show the novelty of our new results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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