Fixed points of metrically nonspreading mappings in Hadamard spaces
Fumiaki Kohsaka
TL;DR
This paper investigates fixed points of specific nonspreading mappings in Hadamard spaces, providing existence and approximation results with applications to monotone operators.
Contribution
It introduces new fixed point results for metrically nonspreading mappings in Hadamard spaces, including resolvent applications for monotone operators.
Findings
Existence of fixed points for metrically nonspreading mappings
Approximation methods for fixed points in Hadamard spaces
Applications to monotone operator theory
Abstract
We study the existence and approximation of fixed points of metrically nonspreading mappings and firmly metrically nonspreading mappings in Hadamard spaces. The resolvents of monotone operators satisfying range conditions are typical examples of firmly metrically nonspreading mappings. Applications to monotone operators in such spaces are also included.
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Taxonomy
TopicsFixed Point Theorems Analysis · Optimization and Variational Analysis · Advanced Differential Geometry Research