The solvability of a new system of nonlinear variational-like inclusions

DOI10.1155/2009/609353zbMath1163.49005OpenAlexW2011811701WikidataQ59248852 ScholiaQ59248852MaRDI QIDQ1030597

Min Liu, Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min

Publication date: 2 July 2009

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

Full work available at URL: https://eudml.org/doc/55546

zbMATH Keywords

resolvent operator techniqueBanach contraction principle\(s-(G,\eta )\)-maximal monotone operatorsnonlinear variational-like inclusions

Mathematics Subject Classification ID

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

Related Items (1)

Iterative algorithm with mixed errors for solving a new system of generalized nonlinear variational-like inclusions and fixed point problems in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The solvability of a class of general nonlinear implicit variational inequalities based on perturbed three-step iterative processes with errors
• Nonlinear parametric multi-valued variational inclusion systems involving \((A,\eta )\)-accretive mappings in Banach spaces
• Stability of iterative processes with errors for a system of nonlinear \((A,\eta )\)-accretive variational inclusions in Banach spaces
• Systems of generalized nonlinear variational inequalities and its projection methods
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
• Fixed point theorems and a new system of multivalued generalized order complementarity problems
• Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions
• Perturbed proximal point algorithms for general quasi-variational-like inclusions
• Nonlinear \((A,\eta)\)-monotone operator inclusion systems involving non-monotone set-valued mappings
• General iterative algorithms for solving mixed quasi-variational-like inclusions
• \((A,\eta )\)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces
• New proximal algorithms for a class of \((A, \eta)\)-accretive variational inclusion problems with non-accretive set-valued mappings
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• A fixed point theorem and its applications to a system of variational inequalities
• A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces

This page was built for publication: The solvability of a new system of nonlinear variational-like inclusions