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Let E be a topological vector space and X be a non-empty subset of E. quasi-variational inequality (GQVI) problem is to find a pointˆy ∈ S(ˆ y) and a pointˆw ∈ T(ˆ y) such that Rê w, ˆ y − x ≤ 0 for all x ∈ S(ˆ y). We shall use Chowdhury and Tan's 1996 generalized version of Ky Fan's minimax inequality as a tool to obtain some general theorems on solutions… (More)

In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type I operators in non-compact settings in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type I operators in non-compact… (More)

- MOHAMMAD S. R. CHOWDHURY, ENAYET TARAFDAR
- 1999

Suppose that E is a topological vector space and X is a non-empty subset of E. Let S : X → 2 X and T : X → 2 E * be two maps. Then the generalized quasi-variational inequality problem (GQVI) is to find a pointˆy ∈ S(ˆ y) and a pointˆw ∈ T(ˆ y) such that Rê w, ˆ y − x 0 for all x ∈ S(ˆ y). We shall use Chowdhury and Tan's generalized version [4] of Ky Fan's… (More)

Results are obtained on existence theorems of generalized quasi-variational inequalities with monotone and lower hemi-continuous operators, or semi-monotone and upper hemi-continuous operators on paracompact sets.

In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for… (More)

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities GBQVI for quasi-pseudomonotone type… (More)

Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line… (More)

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