COMMON FIXED POINT THEOREMS FOR TWO MAPPINGS WITH ψ-φ-CONTRACTIVE OR EXPANSIVE TYPE CONDITIONS ON COMPLEX-VALUED METRIC SPACES

다국어 초록 (Multilingual Abstract)

A continuous and non-decreasing function ψ and another continuous function φ with φ(z) = 0 <=⇒ z = 0 defined on C + = {x + yi : x, y ≥ 0} are introduced, the ψ-φ-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.

목차 (Table of Contents)

• 1. Introduction and preliminaries
• 2. Points of coincidence and common fixed points

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