Some results on generalized mean nonexpansive mapping in complete metric spaces | Zendy

A. A. Mebawondu | Zendy; Chinedu Izuchukwu | Zendy; Hammed Anuoluwapo Abass | Zendy; Oluwatosin Temitope Mewomo | Zendy

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Some results on generalized mean nonexpansive mapping in complete metric spaces

Author(s) -

A. A. Mebawondu,

Chinedu Izuchukwu,

Hammed Anuoluwapo Abass,

Oluwatosin Temitope Mewomo

Publication year - 2022

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.44174

Subject(s) - mathematics , metric space , fixed point , metric (unit) , type (biology) , frame (networking) , coincidence , point (geometry) , pure mathematics , mathematical analysis , computer science , geometry , medicine , ecology , telecommunications , operations management , alternative medicine , pathology , economics , biology

In this paper, we obtain sufficient conditions for the existence of a unique fixed point of $T$- mean nonexpansive mapping and an integral type of $T$- mean nonexpansive mapping. We also obtain sufficient conditions for the existence of coincidence point and common fixed point for a Jungck-type mean nonexpansive mapping in the frame work of a complete metric space. Some examples of $T$-mean nonexpansive and Jungck-type mean nonexpansive mappings which are not mean nonexpansive mapping are given. The result obtained generalizes corresponding results in this direction in the literature.

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