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A Study on Common Fixed Point of Joint (A; B) Generalized Cyclic ϕ − abc Weak Nonexpansive Mappings and Generalized Cyclic abc; r Contractions in Quasi Metric Spaces

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  • Sahar Mohamed Ali Abou Bakr

Abstract

This manuscript proves the existence of a single common fixed point of two joint (A, B) generalized cyclic ϕ − abc weak nonexpansive mappings, where A and B are compact sets. The result in particular demonstrated a single fixed point of generalized cyclic ϕ − abc weak nonexpansive mappings, without the assumption of a single contracting point. Additionally, it introduces new types of generalized cyclic abc; r contraction mappings and describes the existence of a single fixed point of them in b‐metric spaces. Finally, the presented results establish a simpler convergence theorem for a sequence of generalized cyclic abc; r contraction mappings, extend, and generalize some of the previous reported results.

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Handle: RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:9427267
DOI: 10.1155/2020/9427267
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