COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF SELFMAPS SATISFYING GENERALIZED WEAK CONTRACTIVE CONDITION

G.V.R.  BABU; K.T. KIDANE

COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF SELFMAPS SATISFYING GENERALIZED WEAK CONTRACTIVE CONDITION

Authors

G.V.R. BABU Department of Mathematics, Andhra University, Visakhapatnam - 530 003, India
K.T. KIDANE Department of Mathematics, Jimma University, Jimma, P. O. Box 378, Ethiopia

Keywords:

Common fixed point, Generalized weakly contractive condition, Complete metric space, Compatible maps, Weakly compatible maps and reciprocally continuous maps

Abstract

In this paper, we prove a common fixed point theorem for two pairs of weakly contractive selfmaps satisfying certain generalized weakly contractive type inequality. Also, we prove the same for two pairs of such selfmaps in which one pair is compatible, reciprocally continuous and the other pair is weakly compatible. Some existing results are drawn as corollaries from the main results of this paper. Examples are given in support of the main results of the paper.