DENSITY AND UPPER SEMICONTINUITY OF STRONG SOLUTIONS FOR PARAMETRIC GENERALIZED SYSTEM

Abstract

In this paper, we obtain some stability results for a class of parametric generalized system. Under weaker conditions, a density theorem of positive proper efficient solutions in the set of strong solutions is obtained. Then, by using the density result, we establish the upper semicontinuity of strong solution mappings to parametric generalized system without monotonicity. Our results are different from the corresponding ones in the literature. Some examples are given to illustrate the results.