NONLINEAR MIXED VECTOR VARIATIONAL INEQUALITY PROBLEMS

Suhel Ahmad Khan, Qamrul Haq Khan, Farhat Suhel · Nonlinear functional analysis and applications · 2013

In this paper, we consider nonlinear mixed vector variational inequality problems in the setting of topological vector spaces. We extend the concept of upper sign continuity for vector-valued functions and establish some existence results for solutions of vector variational inequalities. By utilizing a new version of Ky Fan lemma we investigated the nonemptyness and compactness of solution sets of these problems under some suitable assumptions.

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