✦ LIBER ✦

A generalized mixed vector variational-like inequality problem

✍ Scribed by Farhat Usman; Suhel Ahmad Khan

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 523 KB
Volume: 71
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.04.023

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we introduce relaxed η-α-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 η-complete semicontinuity and η-strong semicontinuity and prove the solvability for generalized mixed vector variational-like inequality problem without monotonicity assumption by applying the Brouwer's fixed point theorem. The results presented in this paper are extensions and improvements of some earlier and recent results in the literature.

📜 SIMILAR VOLUMES

On the Generalized Vector Variational In

On the Generalized Vector Variational Inequality Problem

✍ I.V Konnov; J.C Yao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 187 KB

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

Generalized vector variational inequalit

Generalized vector variational inequality

✍ G.M. Lee; D.S. Kim; B.S. Lee 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 222 KB

On generalized vector variational-like i

On generalized vector variational-like inequalities

✍ M. Firdosh Khan; Salahuddin 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 179 KB

Generalized mixed variational-like inequ

Generalized mixed variational-like inequality for random fuzzy mappings

✍ Hong-Xia Dai 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 693 KB

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 fin

Generalized variational inequalities wit

Generalized variational inequalities with weight-like vectors

✍ Long-guang Huang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 542 KB

On Minty vector variational-like inequal

On Minty vector variational-like inequality

✍ Xiao Gang; Sanyang Liu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 273 KB

This paper is devoted to the study of relationships between solutions of Minty vector variational-like inequalities (MVVLI) and solutions of vector optimization problems (VOP), as well as some relations between solutions of MVVLI and Stampacchia vector variational-like inequalities (SVVLI). Moreover