Iterative algorithms for a new class of extended general nonconvex set-valued variational inequalities

DOI10.1016/j.na.2010.08.022zbMath1214.47065OpenAlexW2038925580MaRDI QIDQ607108

Mehdi Roohi, Javad Balooee, Mohsen Alimohammady, Yeol Je Cho

Publication date: 19 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.022

zbMATH Keywords

set-valued variational inequalitiesperturbed finite step projection iterative algorithmsprojection techniqueWiener-Hopf inclusions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items

Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with \((\alpha, \lambda)\)-NODSM mappings in ordered Banach spaces, Solving \textit{GNOVI} frameworks involving \((\gamma_G, \lambda)\)-weak-\textit{GRD} set-valued mappings in positive Hilbert spaces, The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities, On a system of extended general variational inclusions, Characterizations of weak-\(ANODD\) set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving \(\oplus\) operator in ordered Banach spaces, Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities, Existence theorems for quasivariational inequality problem on proximally smooth sets, Existence theorems for multivalued variational inequality problems on uniformly prox-regular sets, Algorithms for solving system of extended general variational inclusions and fixed points problems, A nonlinear inclusion problem involving \((\alpha,\lambda)\)-\(NODM\) set-valued mappings in ordered Hilbert space, GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space, Approximation solvability for a system of implicit nonlinear variational inclusions with \(H\)-monotone operators, Unnamed Item, Nonconvex Variational Inequalities, Convergence results of multi-valued nonexpansive mappings in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence results of nonconvex differential inclusions
• Iterative schemes for nonconvex variational inequalities.
• Projection methods for nonconvex variational inequalities
• Quasi variational inequalities
• On p-convex sets and geodesics
• Implementation of a continuation method for normal maps
• General existence results for second order nonconvex sweeping process with unbounded pertur\-bations
• Existence results on the second-order nonconvex sweeping processes with perturbations
• Some developments in general variational inequalities
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Qualitative properties of trajectories of control systems: a survey
• Numerical method for general mixed quasi-variational inequalities
• A modified predictor-corrector algorithm for solving nonconvex generalized variational inequality
• Multi-valued contraction mappings
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Equivalence of Variational Inequalities with Wiener-Hopf Equations
• Normal Maps Induced by Linear Transformations
• Local differentiability of distance functions
• An Introduction to Variational Inequalities and Their Applications
• An iterative method for obstacle problems via green's functions
• Variational inequalities