On discrete and semimetric fixed point theorems for nonexpansive mappings

2022/08/10 by A. El Adraoui, Adraoui, A. El, Mustapha Kabil +5
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2208.10631

openalex publication_date 2022/08/10 · openalex created_date 2023/02/16 · openalex updated_date 2026/07/28

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.

Related

• Nonexpansive fixed point theorems for primitive uniform spaces
• Quasi-nonexpansive mappings with respect to orbits in Banach spaces and weak fixed point property
• Common fixed points of commutative semigroups of nonexpansive mappings
• Fixed point properties for semigroups of nonlinear mappings and amenability
• Approximate fixed points of nonexpansive functions in product spaces