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A Study on Common Fixed Point of Joint Generalized Cyclic Weak Nonexpansive Mappings and Generalized Cyclic 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 generalized cyclic weak nonexpansive mappings, where and are compact sets. The result in particular demonstrated a single fixed point of generalized cyclic weak nonexpansive mappings, without the assumption of a single contracting point. Additionally, it introduces new types of generalized cyclic contraction mappings and describes the existence of a single fixed point of them in - metric spaces. Finally, the presented results establish a simpler convergence theorem for a sequence of generalized cyclic contraction mappings, extend, and generalize some of the previous reported results.

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  • Sahar Mohamed Ali Abou Bakr, 2020. "A Study on Common Fixed Point of Joint Generalized Cyclic Weak Nonexpansive Mappings and Generalized Cyclic Contractions in Quasi Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-10, July.
    • Handle: RePEc:hin:jnlaaa:9427267
    DOI: 10.1155/2020/9427267
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