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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.

Suggested Citation

  • Sahar Mohamed Ali Abou Bakr, 2020. "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," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:9427267
    DOI: 10.1155/2020/9427267
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    References listed on IDEAS

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    1. Erdal Karapınar & Hemant Kumar Nashine, 2012. "Fixed Point Theorem for Cyclic Chatterjea Type Contractions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, August.
    2. Erdal Karapınar & Hemant Kumar Nashine, 2012. "Fixed Point Theorem for Cyclic Chatterjea Type Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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