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Khan, Suhel Ahmad; Lee, Byung Soo; Suhel, Farhat

Vector mixed quasi complementarity problems in Banach spaces. (English) Zbl 1255.90115

Math. Comput. Modelling 55, No. 3-4, 983-988 (2012).
Summary: We introduce a new class of set-valued vector implicit quasi complementarity problems with corresponding set-valued implicit quasi variational inequality problems. By means of the Fan-KKM theorem, we investigate the nonemptiness and compactness of solution sets of these problems. Our work generalizes and improves some results appeared recently in the literature.

Cited in 2 Documents

MSC:

90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C31 Sensitivity, stability, parametric optimization
49J40 Variational inequalities

Keywords:

convex cone; quasi complementarity problem; process mapping
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\textit{S. A. Khan} et al., Math. Comput. Modelling 55, No. 3--4, 983--988 (2012; Zbl 1255.90115)
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