On the Generalization of Some Well Known Fixed Point Theorems for Noncompatible Mappings

Abstract

Various investigations have dealt with the problem that, is there a contractive definition strong enough to ensure the existence of a fixed point but the function fails to be continuous. An attempt has been made to generalize fixed point theorem of Pant, Bisht, Arora [9]. Further a fixed point theorem of Bisht and Joshi [1] finds a generalization here.

Key words and phrases. compatibility, reciprocal continuity, f-compatibility, g-compatibility, R-weak commutativity, R-weak commutativity of type (A_g) and of type (A_f ).

2000 Mathematics Subject Classification. 47H10, 55M20