Split Variational Inclusion Problem and Fixed Point Problem for Asymptotically Nonexpansive Semigroup with Application to Optimization Problem

DOI10.1007/978-981-33-6647-3_3OpenAlexW4232098321MaRDI QIDQ4956871

Zhao Li Ma, Liang Cai Zhao, Shi Sheng Zhang

Publication date: 2 September 2021

Published in: Advances in Metric Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-33-6647-3_3

zbMATH Keywords

nonexpansive semigroupsplit variational inclusion problemfixed point problemasymptotically nonexpansive semigroup

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Operator theory (47-XX) Probabilistic metric spaces (54E70)

Cites Work

• Moudafi's open question and simultaneous iterative algorithm for general split equality variational inclusion problems and general split equality optimization problems
• Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces
• Split monotone variational inclusions
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• The hybrid steepest descent method for split variational inclusion and constrained convex minimization problems
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• The split common fixed-point problem for demicontractive mappings
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings