Abstract
In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function ϕ. Furthermore, we prove a weak convergence theorem for finding a common fixed point of two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space. Consequently, such theorem can be deduced to the case of the nonspreading type mappings and some generalized nonexpansive mappings. MSC:49J40, 47J20.
Highlights
Let T be a mapping on a nonempty subset E of a Banach space X
In this article, motivated by Dhompongsa et al [ ], we prove some fixed point theorems for nonspreading mappings for a general Banach space, i.e., nonspreading mappings satisfying ( . ) instead of ( . )
We prove a weak convergence theorem for a common fixed point of any two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space
Summary
Let T be a mapping on a nonempty subset E of a Banach space X. ). we prove a weak convergence theorem for a common fixed point of any two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space. 2 Preliminaries Let E be a nonempty closed and convex subset of a Banach space X and {xn} be a bounded sequence in X.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
