This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and b-metric (RMPbM) as generalizations space, respectively. Some nonunique fixed-point coupled-fixed-point results for contractive mappings are provided. The findings extend improve outcomes presented in existing literature. main illustrated with examples, validated by means an application to a system int...

In this paper we introduce strong $I^K$-convergence of functions which is common generalization $I^*$-convergence in probabilistic metric spaces. We also define and study $I^{K}$-limit points same space.

In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.