Abstract
In this article, we establish some common fixed point theorems for a hybrid pair {g, T} of single valued and multi-valued maps satisfying a generalized contractive condition defined on G-metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 2000 MSC: 54H25; 47H10; 54E50.
Highlights
Introduction and preliminariesNadler [1] initiated the study of fixed points for multi-valued contraction mappings and generalized the well known Banach fixed point theorem
Mustafa et al [15,16,17,18,19] obtained some fixed point theorems for mappings satisfying different contractive conditions
Gajić and Crvenković [22,23] proved some fixed point results for mappings with contractive iterate at a point in G-metric spaces
Summary
Introduction and preliminariesNadler [1] initiated the study of fixed points for multi-valued contraction mappings and generalized the well known Banach fixed point theorem. After, many authors studied many fixed point results for multi-valued contraction mappings see [2,3,4,5,6,7,8,9,10,11,12,13]. Mustafa et al [15,16,17,18,19] obtained some fixed point theorems for mappings satisfying different contractive conditions.
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