Nonunique Fixed Point Theorems on b-Metric Spaces Via Simulation Functions

Abstract

Based on the concepts of α-orbital admissibility given by Popescu in [29] and simulation functions introduced by Khojasteh in [25], we introduce in this paper different types of contractive mappings. We also provide some nonunique fixed point results for such contractive mappings in the class of orbital complete b-metric spaces. Some consequences on known results in literature are also given in support of our obtained results.

Key words and phrases. Simulation function, b-metric space, nonunique fixed point, self-mappings, orbital admissible mappings.

2000 Mathematics Subject Classification. 46T99, 47H10, 54H25