SOME FIXED POINT THEOREMS FOR T-KANNAN CONTRACTIONS AND WEAKLY COMPATIBLE PAIRS OF MAPPINGS IN G-CONE METRIC SPACES

Abstract

In the framework of G-cone metric spaces introduced by I. Beg, M. Abbas and T. Nazir , Generalized cone metric spaces, J. Nonlinear Sci. Appl. 3 (1) (2010), we prove several fixed point theorems for mappings satisfying T-Kannan, respectively T-Chaterjea contractive conditions, as well as for weakly commuting pair of mappings satisfying contractive conditions. Our results extend and improve similar results that are known in cone metric spaces.

Cuvinte cheie

contractive weakly Caristi T-Kannan type and Weakly compatible maps cone metric space G-metric space G-Cone metric space