System of set-valued mixed quasi-variational-like inclusions involving \(H-\eta \)-monotone operators in Banach spaces

DOI10.1007/s10483-009-0101-zzbMath1159.49013OpenAlexW2020159112MaRDI QIDQ1016154

Xie Ping Ding, Zhong-Bao Wang

Publication date: 4 May 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0101-z

zbMATH Keywords

iterative algorithmBanach spacesresolvent operator technique\(H-\eta\)-monotone operatorssystemof set-valued mixed quasi-variational-like inclusions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Related Items

Generalized \(H\)-\(\eta \)-accretive operators in Banach spaces with application to variational inclusions, Auxiliary principle and approximation solvability for system of new generalized mixed equilibrium problems in reflexive Banach spaces, Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface, Graph convergence for the \(H(\cdot , \cdot )\)-accretive operator in Banach spaces with an application, A system of general nonlinear variational inclusions in Banach spaces

Cites Work

• Iterative approximation of a solution of multi-valued variational-like inclusion in Banach spaces: A \(P-\eta\) -proximal-point mapping approach
• A new system of generalized mixed quasi-variational inclusions with \((H,\eta )\)-monotone operators
• On a new system of nonlinear \(A\)-monotone multivalued variational inclusions
• Generalized implicit variational-like inclusion problems involving \(G-\eta\) -monotone mappings
• Iterative approximation of a unique solution of a system of variational-like inclusions in real \(q\)-uniformly smooth Banach spaces
• Mixed projection methods for systems of variational inequalities
• The \(p\)-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with \((A,\eta )\)-accretive operators in \(q\)-uniformly smooth Banach spaces
• New accuracy criteria for modified approximate proximal point algorithms in Hilbert spaces
• Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
• Perturbed proximal point algorithms for general quasi-variational-like inclusions
• General nonlinear variational inclusion problems involving A-monotone mappings
• Iterative methods for solving a system of variational inclusions involving \(H\)-\(\eta \)-monotone operators in Banach spaces
• Existence and algorithm of solutions for generalized strongly nonlinear mixed variational-like inequalities in Banach spaces
• \((A,\eta )\)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces
• Three-step iterative algorithm for a system of set-valued variational inclusions with \((H,\eta )\)-monotone operators
• An iterative method for generalized nonlinear set-valued mixed quasi-variational inequalities with \(H\)-monotone mappings
• On a new system of generalized mixed quasi-variational-like inclusions with \((H,\eta )\)-accretive operators in real \(q\)-uniformly smooth Banach spaces
• New proximal algorithms for a class of \((A, \eta)\)-accretive variational inclusion problems with non-accretive set-valued mappings
• Nonlinear relaxed cocoercive variational inclusions involving \((A,\eta)\)-accretive mappings in Banach spaces
• Sensitivity analysis for generalized strongly monotone variational inclusions based on the \((A,\eta )\)-resolvent operator technique
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• Existence and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces
• Set-valued variational inclusions with \(T\)-accretive operators in Banach spaces
• A proximal method for pseudomonotone type variational-like inequalities
• Three-step iterative algorithms for solving the system of generalized mixed quasi-variational-like inclusions
• Multi-valued contraction mappings
• A characterization of strict convexity of Banach spaces and other uses of duality mappings
• General system of \((A,\eta )\)-monotone variational inclusion problems based on generalized hybrid iterative algorithm
• ALGORITHMS FOR SYSTEMS OF NONLINEAR VARIATIONAL INEQUALITIES
• A New System of Set-valued Variational Inclusions with H-Monotone Operators
• Unnamed Item
• Unnamed Item