COUPLED COINCIDENCE POINT THEOREMS OF MAPPINGS IN PARTIALLY ORDERED METRIC SPACES

E.  PRAJISHA; P.  SHAINI

COUPLED COINCIDENCE POINT THEOREMS OF MAPPINGS IN PARTIALLY ORDERED METRIC SPACES

Authors

E. PRAJISHA Department of Mathematics, Central University of Kerala, Kasaragod, India
P. SHAINI Department of Mathematics, Central University of Kerala, Kasaragod, India

Keywords:

Coupled coincidence point, Coupled common fixed point, Mixed g-monotone property, Partially ordered set

Abstract

In this paper we introduce a new generalized weakly contractive condition involving expressions of Kannan type contraction. And we establish coupled coincidence point and coupled common fixed point theorems of a pair of mappings satisfying the new contractive condition. An example is given to illustrate the theorems.