FIXED POINT THEOREMS FOR MULTIVALUED NONLINEAR CONTRACTION MAPPING IN G-METRIC SPACE

Abstract

In this paper, we prove existence and uniqueness of fixed points for a multivalued mapping in complete G-metric space which satisfies some nonlinear contractive conditions. We show that the multivalued nonlinear contraction mapping reduces to multivalued linear contraction mapping by establishing the boundedness of orbit of the same. Our results generalize existing results in the literature.