A new approach to integral equations via contraction results in multiplicative metric spaces

AIMS Mathematics

article

Hizbullah¹  Saif Ur Rehman¹  Sami Ullah Khan¹  Gauhar Rahman²  Kamsing Nonlaopon³ 

[1] Institute of Numerical Sciences, Department of Mathematics, Gomal University;Department of Mathematics and Statistics, Hazara University;Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: fixed point;    multiplicative metric space;    contraction conditions;    integral equations;   

DOI  :  10.3934/math.20221089

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this research study, some striking features of single-valued fixed point theorems on multiplicative metric spaces have been established. Our displayed work consists of some unique fixed point theorems under generalized contraction with maximum and minimum conditions. In support of our work, we demonstrate some illustrative examples to justify all the conditions of our main theorems. In addition, a nonlinear integral equation is presented as an application to express the validity of our work. The offered outcomes in this study extend and improve many of the results proved in recent decades.

【 授权许可】

CC BY