Cyclic Mappings and Further Results in B-Metric-Like Spaces | Zendy

Shengquan Weng | Zendy; Quanxin Zhu | Zendy; Baoying Du | Zendy; Kaibo Shi | Zendy

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Cyclic Mappings and Further Results in B-Metric-Like Spaces

Author(s) -

Shengquan Weng,

Quanxin Zhu,

Baoying Du,

Kaibo Shi

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/3866965

Subject(s) - metric space , mathematics , metric (unit) , uniqueness , fixed point , space (punctuation) , type (biology) , convex metric space , pure mathematics , discrete mathematics , point (geometry) , fixed point theorem , computer science , mathematical analysis , geometry , ecology , operations management , economics , biology , operating system

Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory. B-metric-like space is one of the generalized metric spaces; in fact, the research work in B-metric-like spaces is attractive. The intention of this paper is to introduce the concept of other cyclic mappings, named as L β -type cyclic mappings in the setting of B-metric-like space, study the existence and uniqueness of fixed point problem of L β -type cyclic mapping, and obtain some new results in B-metric-like spaces. Furthermore, the main results in this paper are illustrated by a concrete example. The work of this paper extend and promote the previous results in B-metric-like spaces.

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