Fixed Point Theorems forSeveral Contractive Mappings and Expansive Mappings in G-Metric Spaces

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Ahmed H. Alwan

Abstract

The purpose of this paper is to define two types of mappings in G-metric spaces and find the fixed points of these mappings. The first type is called several contractive mappings, where we define the contraction condition on the closure of an orbit, where the orbit is bounded and orbitally complete. In addition, we discuss the uniqueness of a fixed point only in this orbit. We studythe existence of a fixed point for surjective expansive mappings in G-metric spaces.

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