On Some Coupled Fixed Points of Generalized T-Contraction Mappings in A bv(s)-Metric Space and Its Application

Axioms

Reny George¹  ZoranD. Mitrović²  Stojan Radenović³ 

[1] Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;Faculty of Electrical Emgineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina;Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, Serbia;

关键词: common coupled fixed point;    bv(s)-metric space;    T-contraction;    weakly compatible mapping;   

DOI  :  10.3390/axioms9040129

来源: DOAJ

【 摘 要 】

Common coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings $S:X\times X\to X$ and $g:X\to X$ in a $b_v\left(s\right)$-metric space, which generalize, extend, and improve some recent results on coupled fixed points. As an application, we prove an existence and uniqueness theorem for the solution of a system of nonlinear integral equations under some weaker conditions and given a convergence criteria for the unique solution, which has been properly verified by using suitable example.

【 授权许可】

Unknown