Fixed point for compatible and subsequentially continuous mappings in Menger spaces and applications


Ismat Beg, Sunny Chauhan




We present a common xed point theorem for two pairs of self-mappings by using the notions of compatibility and subsequential continuity (alternatively subcompatibility and reciprocal continuity) in Menger space and give some examples. As an application to our main result, we also obtain the corresponding common xed point theorem in metric spaces. Our results improve several well-known results in the literature.