On discrete and semimetric fixed point theorems for nonexpansive mappings
A. El Adraoui, M. Kabil, A. Kamous, S. Lazaiz
TL;DR
This paper compares fixed point theorems for homomorphisms in binary relation systems with those for nonexpansive mappings in semimetric spaces, highlighting their similarities and differences.
Contribution
It provides a comparative analysis of fixed point existence in binary relation systems and semimetric spaces, extending fixed point theory.
Findings
Fixed point conditions for homomorphisms in relation systems
Fixed point results for nonexpansive mappings in semimetric spaces
Insights into the relationship between the two fixed point frameworks
Abstract
This work is a comparative study between the existence of fixed point for homomorphisms in a class of binary relationnal systems and the existence of fixed point for nonexpansive mappings in semimetric spaces.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Advanced Optimization Algorithms Research