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

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.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.