FIXED POINT THEOREMS FOR (ξ,β)-EXPANSIVE MAPPING IN G-METRIC SPACE USING CONTROL FUNCTION

Abstract

In this paper, some fixed point theorems for new type of (ξ,β)-expansive mappings of type (S) and type (T) using control function and β-admissible function in G-metric spaces are proved. Further, we prove certain fixed point results by relaxing the continuity condition.