Optimization inside the general efficiency

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Vasile Postolica

Romanian Academy of Scientists, Department of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacau,
Romania

: J Comput Eng Inf Technol

Abstract

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This research work is concerned with the study of the General Efficiency and Optimization. We present the Efficiency and Optimization in their most natural context offered by the Infinite Dimensional Ordered Vector Spaces, following our recent results on these subjects. Implications and Applications in Vector Optimization through of the agency of Isac’s Cones and the new link between the General Efficiency and the Strong Optimization by the Full Nuclear Cones are presented. An important extension of our Coincidence Result between the Efficient Points Sets and the Choquet Boundaries is developed. In this way, the Efficiency is connected with Potential Theory by Optimization and conversely. Several pertinent references conclude this investigation.

Biography

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Prof. Univ. Dr. (Ph.D) VASILE POSTOLICĂ Romanian Academy of Scientists, Vasile Alecsandri University of Bacău Faculty of Sciences, Department of Mathematics & Informatics.