Results 11 to 20 of about 6,034,359 (280)

A New Variational Inequality with its Application [PDF]

open access: yes, 2009
In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
core   +6 more sources

A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]

open access: yes, 2008
The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
core   +6 more sources

A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]

open access: yes, 2009
In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
core   +6 more sources

New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions [PDF]

open access: yes, 2004
In this paper, by using some new and innovative techniques, some perturbed iterative algorithms for solving generalized set-valued variational inclusions are suggested and analyzed.
Li, Rong, Shi, Chaofeng
core   +6 more sources

Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational-like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Space

open access: yesJournal of Mathematics, 2021
In this paper, we consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space.
Saud Fahad Aldosary   +3 more
doaj   +1 more source

Hybrid Mann Viscosity Implicit Iteration Methods for Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities and Fixed Point Problems

open access: yesMathematics, 2019
In the present work, we introduce a hybrid Mann viscosity-like implicit iteration to find solutions of a monotone classical variational inequality with a variational inequality constraint over the common solution set of a general system of variational ...
Lu-Chuan Ceng, Qing Yuan
doaj   +1 more source

Stability and Convergence Analysis for Set-Valued Extended Generalized Nonlinear Mixed Variational Inequality Problems and Generalized Resolvent Dynamical Systems

open access: yesJournal of Mathematics, 2021
In this paper, we study a set-valued extended generalized nonlinear mixed variational inequality problem and its generalized resolvent dynamical system. A three-step iterative algorithm is constructed for solving set-valued extended generalized nonlinear
Iqbal Ahmad   +3 more
doaj   +1 more source

Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities

open access: yesAbstract and Applied Analysis, 2013
We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong   +3 more
doaj   +1 more source

A New Gap Function for Vector Variational Inequalities with an Application

open access: yesJournal of Applied Mathematics, 2013
We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided.
Hui-qiang Ma   +3 more
doaj   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

open access: yesJournal of Mathematics, 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational ...
Tzu-Chien Yin   +2 more
doaj   +1 more source

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