A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation

In this paper, we introduce the notion of subsequential continuity for a hybrid pair of maps and combine this concept with compatibility, to establish a coincidence and common fixed point theorem for a hybrid quadruple of maps. Our main result also demonstrates that several fixed point theorems can be unified using implicit relations. We also give two examples in support our results.

• coincidence points
• common fixed points
• hybrid maps
• compatibility
• implicit relations
• fixed point theorems

• Fixed Point Theorems Analysis
• Functional Equations Stability Results
• Approximation Theory and Sequence Spaces
• coincidence points
• common fixed points
• hybrid maps
• compatibility
• implicit relations
• fixed point theorems
• Geometry and Topology
• Applied Mathematics
• Statistics and Probability
• Mathematics