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http://dx.doi.org/10.7858/eamj.2010.26.1.049

ON GENERALIZED VECTOR QUASI-VARIATIONAL TYPE INEQUALITIES  

Cho, Y.J. (DEPARTMENT OF MATHEMATICS EDUCATION AND THE RINS GYEONGSANG NATIONAL UNIVERSITY)
Salahuddin, Salahuddin (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
Ahmad, M.K. (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
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Abstract
In this paper, we consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences.
Keywords
generalized vector quasi-variational type inequality; escaping sequence; upper semi-continuous function; affine mapping;
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