Abstract
In this paper, we introduce a new iterative algorithm for approximating fixed points of mean nonexpansive mappings in CAT(0) spaces. We prove a Δ -convergence theorem under suitable conditions. The...
Highlights
Fixed point theory of metric spaces was initiated by the celebrated Banach contraction principle which states that every contraction on a complete metric space has a unique fixed point; the fixed point can be approximated by Picard’s iterates
Perhaps the most influential fixed point theorem in topological fixed point theory is the theorem due to Browder (1965) and Gohde (1965) independently proving that every nonexpansive self-mapping of a closed, convex, and bounded subset of a uniformly
In Zhou and Cui in (2015) introduced an iterative algorithm to approximate fixed points of mean nonexpansive mappings in CAT(0) spaces; this algorithm is defined in the following way:
Summary
Fixed point theory of metric spaces was initiated by the celebrated Banach contraction principle which states that every contraction on a complete metric space has a unique fixed point; the fixed point can be approximated by Picard’s iterates. He proved that every nonexpansive mapping defined on a bounded closed convex subset of a complete CAT(0) space has a fixed point. In Zhou and Cui in (2015) introduced an iterative algorithm to approximate fixed points of mean nonexpansive mappings in CAT(0) spaces; this algorithm is defined in the following way:
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.
