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

Document Type : Research Paper


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


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.