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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2906 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2906 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2906 archive 351 disk0/00/00/28/52 2016-01-15 01:57:08 2021-08-27 17:12:45 2016-01-15 01:57:08 monograph show 2 Valyi I. AL1323 pub iis_met prog_sds The roots of current interest in the theory of approximate solutions of optimization problems lie in approximation theory and nondifferentiable optimization. In this paper an approximate saddle point theory is presented for vector valued convex optimization problems. The considerations cover different possible types of approximate optimality, including both the efficient, or Pareto-type, which is more frequently used in practical decision making applications, and the absolute, or strict type, which is more of theoretical interest. The saddle point theorems are used to study duality in the context of approximate solutions. The approach of the paper also provides for a unified view of a number of results achieved either in approximate scalar optimization or exact vector optimization. 1986-01 published WP-86-007 WP-86-007 10 2471 public working_paper IIASA, Laxenburg, Austria 40 FALSE info:eu-repo/semantics/book