Open AccessSome results on generalized mean nonexpansive mapping in complete metric spaces
Author(s) -
A. A. Mebawondu,
Chinedu Izuchukwu,
H. A. 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.