A common fixed point theorem for weakly subsequentially continuous mappings satisfying implicit relation

In this paper, we prove a common fixed point theorem for two weakly subsequentially continuous and compatible of type (E) for two pairs of self mappings, which satisfying implicit relation in metric spaces, an example is given to illustrate our results, also we give an application to solve a partial differential equations, and the study of its generalized Hyers-Ulam stability, our results improve and extend some previous results.

• common fixed point theorems
• implicit relations
• metric spaces
• self-mappings
• partial differential equations
• generalized Hyers-Ulam stability

• Fixed Point Theorems Analysis
• Functional Equations Stability Results
• Approximation Theory and Sequence Spaces
• common fixed point theorems
• implicit relations
• metric spaces
• self-mappings
• partial differential equations
• generalized Hyers-Ulam stability
• Geometry and Topology
• Applied Mathematics
• Statistics and Probability
• Mathematics