GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space

DOI10.1186/1029-242X-2013-514zbMath1292.49009OpenAlexW2164938998WikidataQ59301998 ScholiaQ59301998MaRDI QIDQ2250355

Mao Ming Jin, Dong Qiu, Hong-Gang Li

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-514

zbMATH Keywords

convergenceiterative algorithmordered Banach space\(B\)-restricted-accretive mappingsnonlinear mixed ordered variational inequality systemordered Lipschitz continuous mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items (10)

Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with \((\alpha, \lambda)\)-NODSM mappings in ordered Banach spaces ⋮ A class of nonlinear mixed ordered inclusion problems for ordered \((\alpha_A,\lambda)\)-\textit{ANODM} set-valued mappings with strong comparison mapping \(A\) ⋮ Solving \textit{GNOVI} frameworks involving \((\gamma_G, \lambda)\)-weak-\textit{GRD} set-valued mappings in positive Hilbert spaces ⋮ System of generalized mixed nonlinear ordered variational inclusions ⋮ Stable perturbed iterative algorithms for solving new general systems of nonlinear generalized variational inclusion in Banach spaces ⋮ System of generalized set-valued parametric ordered variational inclusion problems with operator $\oplus$ in ordered Banach spaces ⋮ Approximation solution for system of generalized ordered variational inclusions with \(\oplus\) operator in ordered Banach space ⋮ Stability for a new class of GNOVI with (\(\gamma_G, \lambda\))-weak-GRD mappings in positive Hilbert spaces ⋮ Unnamed Item ⋮ Solvability for a system of generalized nonlinear ordered variational inclusions in ordered Banach spaces

Cites Work

• Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
• A nonlinear inclusion problem involving \((\alpha,\lambda)\)-\(NODM\) set-valued mappings in ordered Hilbert space
• The over-relaxed \(A\)-proximal point algorithm for general nonlinear mixed set-valued inclusion framework
• Iterative algorithms for a new class of extended general nonconvex set-valued variational inequalities
• New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions
• Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems
• A hybrid proximal point three-step algorithm for nonlinear set-valued quasi-variational inclusions system involving \((A,\eta )\)-accretive mappings
• System of vector equilibrium problems and its applications
• An Ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on \((A,\eta )\)-accretive framework
• Three-step iterative algorithm for a system of set-valued variational inclusions with \((H,\eta )\)-monotone operators
• Nonlinear relaxed cocoercive variational inclusions involving \((A,\eta)\)-accretive mappings in Banach spaces
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Coupled fixed points of nonlinear operators with applications
• Fixed points of increasing operators in ordered Banach spaces and applications
• Fixed points of mixed monotone operators with applications
• A fixed point theorem and its applications to a system of variational inequalities
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

This page was built for publication: GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space