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

Abstract

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.

Keywords

• common fixed point
• subsequentially continuous
• compatible mappings
• implicit relation