Common Fixed Points for Occasionally Weakly Biased Mappings in a Metric Space
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Sciences
Abstract
This work consists of two parts and is focused on studying the existence and uniqueness of common fixed points for mappings satisfying weak conditions in a dislocated metric space as well as a metric space. In the first part of this work, in their paper [35], Wadkar et al. discussed the existence and uniqueness of fixed point for two pairs of weakly compatible mappings in a dislocated metric space which generalizes and improves similar fixed point results. However, this work contains a lot of mistakes in mathematics as well as in literature. The purpose of the first chapter is to repair and remedy this paper; i.e., we will correct the main result of [35] by adding some require conditions, removing certain undesirable things, rectify, change, ameliorate, modify and regulate some inevitable faults. In the second and last part, we have introduced a new concept called occasionally weakly biased mappings of type (A) in order to prove a unique common fixed point theorem for four mappings on a metric space. This theorem improves the main result of [35].