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Strong vector $$F$$-complementary problem and least element problem of feasible set. (English) Zbl 1135.90411
Summary: We introduce several classes of strong vector $$F$$-complementary problems and give some existence results for these problems in Banach spaces. We also discuss the least element problems of feasible sets and present their relations with the strong vector $$F$$-complementary problems.

##### MSC:
 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) 49J40 Variational inequalities 65K10 Numerical optimization and variational techniques 90C29 Multi-objective and goal programming
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