Common Fixed Point of Perov Type Operators with a Contractive Iterate at a Point

Abstract

Following the results of Ray and Rhoades on one side and Perov on the other, we investigate under which condition Perov type operators, satisfying a contractive iterate at a point, possess a common fixed point. Further, we examine the existence of a common fixed point for a sequence of Perov type operators with contractive iterates. © 2026, House of the Book of Science. All rights reserved.