In this paper, we introduce relaxed ฮท-ฮฑ-P-monotone mapping, and by utilizing KKM technique and Nadler's Lemma we establish some existence results for the generalized mixed vector variational-like inequality problem. Further, we give the concepts of ฮท-complete semicontinuity and ฮท-strong semicontinui
Generalized mixed variational-like inequality for random fuzzy mappings
โ Scribed by Hong-Xia Dai
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 693 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, we introduce and study a new class of generalized mixed variationallike inequality for random fuzzy mappings(GMVLIP). An existence theorem for auxiliary problem of the GMVLIP is established. Further, by exploiting the theorem, we construct and analyze a new iterative algorithm for finding the solution of the GMVLIP. Furthermore, we prove the existence of a unique solution of the GMVLIP and discuss the convergence analysis of iterative sequence generated by the iterative algorithm.
๐ SIMILAR VOLUMES
In this paper, we use the auxiliary principle technique to prove the existence of a solution of some new classes of variational inequalities, which are called the generalized mixed variational-like inequalities. This technique is used to analyze an iterative algorithm. Several special cases, which c
We introduce the class of generalized ฮฑ-monotone multifunctions T : K โ 2 E \* with respect to ฮจ and A where ฮฑ : E ร E โ R. By using the KKM technique and the concept of the Hausdorff metric, we establish some existence results for generalized variational-like inequalities with generalized monotone