Results 51 to 60 of about 1,949 (160)

A reconsideration of quasimonotone variational inequality problems

Computational Optimization and Applications
This paper is based on Tseng's exgradient algorithm for solving variational inequality problems in real Hilbert spaces. Under the assumptions that the cost operator is quasimonotone and Lipschitz continuous, we establish the strong convergence, sublinear convergence, and Q-linear convergence of the algorithm.
Meiying Wang, Hongwei Liu 0001, Jun Yang 0046   +2 more
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Generalized Nonlinear Variational Inequality Problems with Random Variation

International Journal of Analysis and Applications
This text deals with exploring random solutions for generalized nonlinear variational inequality problems. By leveraging the Fan-KKM theorem and Aumann’s measurable selection theorem, we can establish the existence and uniqueness of random solution sets, given the conditions of monotonicity and convexity.
H. Gissy, . Salahuddin
openaire   +1 more source

On a generalized variational inequality problem

Filomat, 2018
In this paper, a sufficient condition in order to have C-udomonotone property for multifunctions is presented. By applying a special minimax theorem and KKM theory some existence results of solutions of a generalized variational inequality problem are established. Some examples in order to illustrate the main results are given.
Tavakoli, M., Farajzadeh, A. P., Inoan, D.   +2 more
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Existence and Stability of Solutions for Implicit Multivalued Vector Equilibrium Problems

Fixed Point Theory and Applications, 2011
A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilibrium problems are obtained under some ...
Li Qiuying, Wang Sanhua
doaj  

Variational problems with inequality constraints

Journal of Mathematical Analysis and Applications, 1962
In an earlier paper [I] we showed how the local characterization of optimality of dynamic programming led to simple derivations of many of the results of the calculus of variations. Except for one brief section, we restricted our attention to the Problem of Lagrange.
openaire   +2 more sources

A Hybrid Extragradient Viscosity Approximation Method for Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings

Fixed Point Theory and Applications, 2009
We introduce a new hybrid extragradient viscosity approximation method for finding the common element of the set of equilibrium problems, the set of solutions of fixed points of an infinitely many nonexpansive mappings, and the set of solutions of the ...
Chaichana Jaiboon, Poom Kumam
doaj   +1 more source

The Cimmino Algorithm for Inverse Strongly-Monotone Mappings

Axioms
In 2003 W. Takahashi and M. Toyodaestablished the weak convergence of an iteration process to solve a variational inequality problem induced by an inverse strongly-monotone mapping.
Alexander J. Zaslavski
doaj   +1 more source

Convergence Results for History-Dependent Variational Inequalities

Axioms
We consider a history-dependent variational inequality in a real Hilbert space, for which we recall an existence and uniqueness result. We associate this inequality with a gap function, together with two additional problems: a nonlinear equation and a ...
Mircea Sofonea, Domingo A. Tarzia
doaj   +1 more source

Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications. [PDF]

J Inequal Appl, 2018
Lohawech P, Kaewcharoen A, Farajzadeh A.
europepmc   +1 more source

On synchronal algorithm for fixed point and variational inequality problems in hilbert spaces. [PDF]

Springerplus, 2016
Bulama LM, Kılıçman A.
europepmc   +1 more source