New iterative scheme for fixed point results of weakly compatible maps in multiplicative G M − " role="presentation"> G M − G M − {G_{\boldsymbol{M}}}- metric space via various contractions with application

AIMS Mathematics

article

Mohamed Gamal¹  Tahair Rasham²  Watcharaporn Cholamjiak³  Fu-Gui Shi⁴  Choonkil Park⁵ 

[1] Department of Mathematics, Faculty of Science, South Valley University;Department of Mathematics, University of Poonch Rawalakot;School of Science, University of Phayao;School of Mathematics and Statistics, Beijing Institute of Technology;Research Institute for Natural Science, Hanyang University

关键词: fixed point;    multiplicative $ {G_{\boldsymbol{M}}};    $metric space;    point of coincidence;    weakly compatible maps;    $ \Delta $-implicit contractions;   

DOI  :  10.3934/math.2022754

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY