Assistant Professor, Department of Mathematics, RBVRR Women's College, Narayanaguda, Hyderabad, India
Online published on 4 December, 2014.
The aim of this paper is to present a common fixed point theorem in a metric space which extends the result of P. C Lohani V H Bhadshah using the weaker conditions and generalize common fixed point theorem proved by Bijendra Singh by introducing the two types of weak reciprocally continuous mappings. The conditions of continuity, compatibility and completeness of a metric space are replaced by two different types of weak reciprocally continuous mappings along with some weaker conditions such as Weakly compatible and the Associated sequence.
Fixed point, Self maps, reciprocally Continuous, Compatible maps, Weakly Compatible mappings, Associated sequence, A-Compatible mapping, S-compatible mapping, A-weak reciprocally Continuous mappings, S- reciprocally Continuous mappings
