Fixed point and nonlinear ergodic theorems for some new type semigroups of mappings

DOI10.24193/fpt-ro.2022.2.14OpenAlexW4365402033MaRDI QIDQ6180623

Hossein Piri, Mostafa Ghasemi

Publication date: 2 January 2024

Published in: Fixed Point Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24193/fpt-ro.2022.2.14

zbMATH Keywords

fixed point theoremconvergence theoremgeneralized nonlinear ergodic theoremnonspreading retraction

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• Fixed point theorem for \(\alpha \)-nonexpansive mappings in Banach spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Weak convergence and nonlinear ergodic theorems for reversible semigroup of nonexpansive mappings
• Strong convergence to common fixed points of families of nonexpansive mappings
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Ergodic theorems for hybrid sequences in a Hilbert space with applications
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Asymptotically invariant net and fixed point set for semigroup of nonexpansive mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item