Variational inequalities
Topological fixed point theory and applications to variational inequalities
... generalized variational inequalities on non-convex ...constrained inequalities umbrella frame- work for variational and quasi-variational ...constrained inequalities (Theorems ...
26
Variational inequalities on Hilbert $C^*$-modules
... variational inequalities. Most of existence theorems for variational inequalities is based on a fixed point ...of variational inequalities with fixed point theory is an important ...
11
A projection method for bilevel variational inequalities
... Let C be a nonempty closed convex subset of a real Hilbert space H with the inner product ·, · and the norm ·. We denote weak convergence and strong convergence by notations and →, respectively. The bilevel ...
9
On variational inequalities with vanishing zero term
... of variational inequalities with vanishing zero-order term was first studied in [] and L ∞ error estimates were derived by means of the concept of ...
18
A Korpelevich like algorithm for variational inequalities
... Motivated and inspired by the above algorithms (.), (.) and (.), in this paper, we suggest an extragradient-type method via the sunny nonexpansive retraction for solving the variational inequalities ...
10
Solving Semi-Infinite Variational Inequalities
... semi-infinite variational inequality problem SIVI(X, F ) can be approached by different solution techniques based on projection methods, merit functions and necessary and sufficient first-order ...many ...
126
Nonzero Solutions of Generalized Variational Inequalities
... Generalized Variational Inequalities for Pseudo-Mono- tone Operators and Fixed point theorems,” Journal of Mathematical Analysis and Applications, ...
6
Some Implicit Methods for Solving Harmonic Variational Inequalities
... integral inequalities for the harmonic convex functions and their variant ...of variational inequalities, which is called harmonic variational ...harmonic variational ...
5
Algorithms Construction for Variational Inequalities
... Variational inequalities are being used as a mathematical programming tool in modeling a wide class of problems arising in several branches of pure and applied ...solving variational ...
12
Gap functions for quasi variational inequalities via duality
... the variational inequality problem was introduced first by Bensoussan et ...quasi-variational inequalities have many applications in economics, game theory, optimization and other applied ...
8
Evolutionary Variational Inequalities with Volterra Type Operators
... evolutionary variational inequalities, are investigated in papers [17], ...parabolic variational inequalities or subdifferential inclu- sions with Volterra type operators have not been ...
9
A generalized system of variational inequalities in a Banach space
... al inequality (1.1) has been intensively considered due to its various applications in operations research, economic equilibrium and engineering design. When T has some monotonicity, many iterative methods for solving ...
11
An Iterative Algorithm for Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities
... complementarity, variational inequalities, optimal control, mathematical economics, equilibria, and game ...of variational inclusions problems have been extended and ...a variational inclusion ...
15
Projection based algorithms for variational inequalities
... of variational in- ...constrained variational inequalities, which requires taking projections on the box, and does not require knowledge of the monotonicity or Lipschitz constant of the function F ...
116
Composite schemes for variational inequalities over equilibrium problems and variational inclusions
... 5. Lions, JL, Stampacchia, G: Variational inequalities. Commun. Pure Appl. Math. 20, 493-517 (1967) 6. Yao, JC: Variational inequalities with generalized monotone operators. Math. Oper. Res. ...
17
On Two Iterative Methods for Mixed Monotone Variational Inequalities
... Iterative methods play an important role in solving variational inequalities. For example, if T is a single-valued, strongly monotone i.e., Tx − Ty, x − y ≥ τx − y 2 for all x, y ∈ K and some τ > 0, and ...
10
A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities
... inverse variational inequalities, which can be widely used to study the problems in economics, network and transportation, ...inverse variational inequality arises from the transportation sys- tem ...
7
A Penalization Gradient Algorithm for Variational Inequalities
... for variational inequalities with single-valued monotone maps are given, we will prove that our proposed forward-backward penalization-gradient method ...
13
L∞ error estimates for a class of semilinear elliptic variational inequalities and quasi variational inequalities
... 1 −(c + λ)/(λ +β) f (u) + λu ∞ . (4.15) Corollary 4.6 . If the right-hand side is independent of u, problem (4.2) reduces to the well-known linear noncoercive variational inequalities of stochastic control ...
11
An approximation of solutions of variational inequalities
... of variational inequalities and complementarily problems deals with completely continuous field ...of variational in- equality and complementarily problem has been studied by many authors in Hilbert ...
12