In the present paper, we introduce and study a new class of generalized nonlinear implicit quasivariational inequalities for set-valued mappings and construct some new iterative algorithms. We prove the existence of solutions for this class of generalized nonlinear implicit quasivariational inequali
On Vector Quasivariational Inequalities
โ Scribed by Gue Myung Lee; Byung Soo Lee; Shih-sen Chang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 157 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper, we consider the vector quasivariational inequalities and the vector quasivariational-like inequalities for multifunctions with vector values and prove some existence theorems of solutions for our inequalities. Also, we give the relationship between a kind of the vector variational inequality for multifunctions and a vector optimization problem involving nondifferentiable Lipschitz functions.
๐ SIMILAR VOLUMES
In this paper, we study vector variational inequalities with set-valued mappings. The concept of C -pseudomonotone mapping is introduced. By employing the Fan x lemma, we establish several existence results. The new results extend and unify existence results of vector variational inequalities for si
The aim of this paper is to construct a regularization of a gap function solution to a quasivariational inequality problem. The regularization may happen for example, by means of Toland's and Singer's duality theory for d.c. functions and lead to an everywhere finite and smooth dual gap function. Th