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
Mohamed Ali Abou Bakr, Sahar;
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.
Other data
Title | 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 | Authors | Mohamed Ali Abou Bakr, Sahar | Issue Date | 1-Jan-2020 | Journal | Abstract and Applied Analysis | Volume | 2020 | ISSN | 10853375 | DOI | 10.1155/2020/9427267 | Scopus ID | 2-s2.0-85089074583 |
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