Optimality in Vector Spaces

Abstract

This research work is devoted to the general Optimaliy presented inside the best appropriate environment of the Infinite Dimensional Ordered Vector Spaces, with its natural projections in the Vectorial Optimization. It is also a short but original scientific Survey on the Efficiency by the Optimality and conversely, in the most general context of the Ordered Vector Spaces, the foundations for the Computational and Business Intelligence. Following our refined recent results we suggest new links between the General Efficiency, the Vector and Strong Optimization and the Potential Theory in order to continue the development for the next fields of the Scientific Research: Theory and Applications of the Generalized Dynamical Systems, Fixed points Theory, Choquet Boundaries, the Best Approximation Theory, the study of the Conically Bounded Sets, the study of the Nuclearity for the Topological Vector Spaces, Vector Optimization for multivalued functions and so on together with pertinent Applications.