Systems of generalized variational inequalities and their applications∗
From MaRDI portal
Publication:2729507
DOI10.1080/00036810008840877zbMath1018.49005OpenAlexW2001733045MaRDI QIDQ2729507
Jen-Chih Yao, Qamrul Hasan Ansari
Publication date: 22 July 2001
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810008840877
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)
Related Items
A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space ⋮ Relaxed and composite viscosity methods for variational inequalities, fixed points of nonexpansive mappings and zeros of accretive operators ⋮ The modification of system of variational inequalities for fixed point theory in Banach spaces ⋮ An iterative algorithm for system of generalized equilibrium problems and fixed point problem ⋮ Solutions of system of generalized vector quasi-equilibrium problems in locally \(G\)-convex uniform spaces ⋮ Systems of quasi-equilibrium problems with lower and upper bounds ⋮ Generalized variational inequalities with weight-like vectors ⋮ Nonempty intersection theorems and system of generalized vector equilibrium problems in product \(G\)-convex spaces ⋮ On system of generalized vector quasi-equilibrium problems with set-valued maps ⋮ Existence theorems for systems of generalized vector quasiequilibrium problems and optimization problems ⋮ An iterative method for a common solution of generalized mixed equilibrium problems, variational inequalities, and hierarchical fixed point problems ⋮ Hybrid extragradient method for hierarchical variational inequalities ⋮ Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces ⋮ Existence results for system of variational inequality problems with semimonotone operators ⋮ A system of random nonlinear variational inclusions involving random fuzzy mappings and \(H(\cdot,\cdot )\)-monotone set-valued mappings ⋮ Iterative algorithms for systems of generalized equilibrium problems with the constraints of variational inclusion and fixed point problems ⋮ Systems of variational inequalities with hierarchical variational inequality constraints in Banach spaces ⋮ Collectively fixed point and maximal element theorems in topological semilattice spaces ⋮ Systems of simultaneous generalized vector quasiequilibrium problems and their applications ⋮ The well-posedness for a system of generalized quasi-variational inclusion problems ⋮ Existence of solutions of systems of generalized implicit vector variational inequalities ⋮ System of generalized implicit vector quasivariational inequalities ⋮ On solutions of a system of variational inequalities and fixed point problems in Banach spaces ⋮ Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems ⋮ On system of generalized vector variational inequalities ⋮ Iterative algorithms for systems of extended regularized nonconvex variational inequalities and fixed point problems ⋮ The system of generalized set-valued equilibrium problems ⋮ A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem ⋮ A hybrid iterative method for common solutions of variational inequality problems and fixed point problems for single-valued and multi-valued mappings with applications ⋮ Generalized vector variational inequalities over countable product of sets ⋮ Generalized vector quasi-variational inequality problems over product sets ⋮ Existence results for systems of vector equilibrium problems ⋮ Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint ⋮ An existence result for a system of inclusion problems with applications ⋮ Implicit and explicit iterative methods for systems of variational inequalities and zeros of accretive operators ⋮ Maximal element theorems with applications to generalized games and systems of generalized vector quasi-equilibrium problems in \(G\)-convex spaces ⋮ Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces ⋮ Hybrid viscosity approximation methods for systems of variational inequalities and hierarchical fixed point problems ⋮ Mann-type hybrid steepest-descent method for three nonlinear problems
Cites Work
- Unnamed Item
- A generalization of Tychonoff's fixed point theorem
- On sufficiency of the Kuhn-Tucker conditions
- KKM principle, fixed points, and Nash equilibria
- Essential equilibria of \(n\)-person noncooperative games
- Remarks on a social equilibrium existence theorem of G. Debreu
- Note on noncooperative convex games
- Non-cooperative games
- Asymmetric variational inequality problems over product sets: Applications and iterative methods
- Nondifferentiable optimization by smooth approximations
- Mathematical methods of game and economic theory
- Convex Analysis
- Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces