The purpose of this paper is to introduce and study a class of set-valued variational inclusions in Banach spaces. By using Michael's selection theorem and Nadler's theorem, some existence theorems and iterative algorithms for solving this kind of set-valued variational inclusion in Banach spaces ar
Iterative approximation of solutions for a class of completely generalized set-valued quasi-variational inclusions
โ Scribed by Lu-Chuan Ceng; Sy-Ming Guu; Jen-Chih Yao
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 253 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we study a new class of completely generalized set-valued quasi-variational inclusion problems in Banach spaces. This inclusion problem is a generalization of the generalized set-valued variational inclusion problem studied by Chang et al. We show that Chang et al.'s algorithm can be modified for finding approximate solutions to this class of quasi-variational inclusion problems. Moreover, the modified algorithm generalizes and improves a number of results in the literature.
๐ SIMILAR VOLUMES
In this paper, we introduce and study a new system of generalized nonlinear mixed quasi-variational inclusions in q-uniformly smooth Banach spaces. We prove the existence and uniqueness of solutions for this system of generalized nonlinear mixed quasivariational inclusions. We also prove the converg
In this paper, we study the existence of nonzero solutions for a class of set-valued variational inequalities involving setcontractive mappings by using the fixed point index approach in reflexive Banach spaces. Some new existence theorems of nonzero solutions for this class of set-valued variationa