Results 1 to 10 of about 600,154 (231)
A New Variational Inequality with its Application [PDF]
, 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
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A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]
, 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
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Aggregative Variational Inequalities
Journal of Optimization Theory and Applications, 2023 AbstractWe enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium
von Mouche, Peter Hubert Mathieu +1 more
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New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions [PDF]
, 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
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Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
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Journal of Inequalities and Applications, 2020 This paper deals with solvability and algorithms for a new class of generalized nonlinear variational-like inequalities in reflexive Banach spaces. By employing the Banach’s fixed point theorem, Schauder’s fixed point theorem, and FanKKM theorem, we ...
Haiyan Gao, Lili Wang, Liangshi Zhao
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, 2021 We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
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A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]
, 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
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An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality
Journal of Applied Mathematics, 2020 This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques ...
Chengfu Wang, Pengcheng Wu, Yuying Zhou
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A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, 2022 This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive
Li-Jun Zhu, Tzu-Chien Yin
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