Common Fixed Points for Two Mappings.

The aim of the present paper is to obtain a common fixed point theorem by employing the new introduced notion of weak subsequential continuity [3]. This new notion is a proper generalization of weak reciprocal continuity introduced recently by R.P. Pant et al. [26] and sequential continuity of type (Af) and (Ag) introduced by D. Gopal et al. [8], and is applicable to compatible mappings as well as R-weakly commuting mappings of type (Af) (resp. (Ag) and (P)). Our results generalize several fixed point theorems. [ABSTRACT FROM AUTHOR]