COUPLED COMMON FIXED POINT THEOREMS OF CIRIC TYPE G-WEAK CONTRACTIONS WITH CLRG PROPERTY

G. V. R.  BABU; P.  SUBHASHINI

COUPLED COMMON FIXED POINT THEOREMS OF CIRIC TYPE G-WEAK CONTRACTIONS WITH CLRG PROPERTY

Authors

G. V. R. BABU Department of Mathematics, Andhra University, Visakhapatnam - 530003, India.
P. SUBHASHINI Department of Mathematics, P. R. Govt. College (A), Kakinada - 533 001, Andhra Pradesh, India

Keywords:

Coupled fixed point, coupled coincidence point, coupled common fixed point, w−compatible maps, property (E. A), CLRg property, implicit relation

Abstract

In this paper we introduce property (E. A) in the context of coupled fixed points and define Ciric type g-weak contractions and prove the existence of coupled common fixed points for a pair of w-compatible maps using property (E. A). Further, we consider a pair of maps satisfying an implicit relation with property (E. A) and prove the existence of coupled common fixed points. The results of Long, Rhoades and Rajovic[16] and our results are independent. Examples are provided to illustrate this phenomenon.