Common fixed point theorems under the $(CLR_g)$ property with applications

نویسندگان
Kutukcu, Servet ID 1
Kaplan, Elif ID 2

1 Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University, Turkey

2 Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University, Turkey

doi
10.22075/ijnaa.2021.24158.2684
چکیده

In this paper, we study some new common fixed point theorems for a pair of weakly compatible mappings satisfying the (CLRg) property in modular metric spaces. We also generalize and improve several results available from the existing literature. As applications of our results, we also provide some applications on the existence and uniqueness of the solution to integral type contraction and Volterra type integral equations.

کلیدواژه‌ها
$(CLR_g)$ property, weakly compatible mappings, fixed point, modular metric, integral type equation, Volterra integral equation