Iterative algorithms for systems of generalized equilibrium problems with the constraints of variational inclusion and fixed point problems

DOI10.1155/2014/540381zbMath1472.47064OpenAlexW2040300373WikidataQ59039295 ScholiaQ59039295MaRDI QIDQ1724354

Abdul Latif, Lu-Chuan Ceng, Abdullah Eqal Al-Mazrooei

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/540381

zbMATH Keywords

strong convergencemaximal monotone mappingshybrid extragradient-like viscosity iterative algorithm

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems
• Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
• Relaxed extragradient-like method for general system of generalized mixed equilibria and fixed point problem
• Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems
• The system of generalized vector equilibrium problems with applications
• Fixed point theorems on product topological semilattice spaces, generalized abstract economies and systems of generalized vector quasi-equilibrium problems
• Strong and weak convergence theorems for generalized mixed equilibrium problem with perturbation and fixed pointed problem of infinitely many nonexpansive mappings
• Characterization of \(H\)-monotone operators with applications to variational inclusions
• Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
• Mixed equilibrium problems and optimization problems
• A new completely general class of variational inclusions with noncompact valued mappings
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Collective fixed points and maximal elements with applications to abstract economies
• Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces
• Existence of solutions of systems of generalized implicit vector variational inequalities
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Iterative approaches to convex feasibility problems in Banach spaces
• A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
• A relaxed extragradient-like method for a generalized mixed equilibrium problem, a general system of generalized equilibria and a fixed point problem
• Systems of generalized variational inequalities and their applications^∗
• New relaxed hybrid-extragradient method for fixed point problems, a general system of variational inequality problems and generalized mixed equilibrium problems
• Collectively fixed point and maximal element theorems in topological semilattice spaces
• Iterative Algorithms for Nonlinear Operators
• Monotone Operators and the Proximal Point Algorithm