In terms of the method of scalar assignment,the partly upper semicontinuity of cone efficient solution in infinite dimensional normed spaces is investigated by using the upper semicontinuity of cone positive proper efficient solution,and the generic stability of cone efficient solution is proved.

In the paper,using the method of scalar assignment,we study upper semicontinuity of the general additive solution in infinite dimensional normed spaces by substitute the bounded linear functional in the infinite dimensional vector space for weight in common sense.

After that,in the Hausdorff topological vector space,the sufficient conditions for the upper semicontinuity of the solution set mapping for the parametric set-valued strong vector equilibrium problems are established.

The purpose of this paper is to study the upper semi-continuity on their solutions of optimisation problems on the cone.

The upper semi-continuity of the global attractor A_αon parameter a for a semilinear hyper- bolic equation in viscoelasticity is discussed by applying some new results.

For the upper semi-continuous set value maps,the existence of attractors under some conditions and the upper semi-continuity of attractors under the perturbation were proved.

According to the extensive theory of topological degree for set-valued mapping ,the authors derive the topological degree for upper semicontinuous set-valued 1-set-contractive mapping.

In this paper,we prove the following theorem:(1)There exist fixed-sets of upper semicontinuous closed-valued correspondences on A_1 and T_I countably compact spaces;(2)There exist fixed-sets of uppersemicontinuous closed-set correspondences on T_1 countably compact spaces.