A survey of vector optimization in infinite-dimensional spaces. II (Q1075946)

[For part I see \textit{W. Stadler}, ibid. 29, 1-52 (1979; Zbl 0388.90001).] - The present survey deals with the state of vector optimization as a mathematical discipline. In this context, the optima are generally defined as maximal points \(y_ 0\) with respect to a partial order on the criteria space. The survey is restricted to a discussion of that literature which deals with points \(y_ 0\) which satisfy a maximality condition with respect to \(y_ 0\)-comparable criteria values; papers which are based on a maximality condition satisfied for all admissible criteria values are included only in a supplementary bibliography. For the former, all aspects of the optimization process are surveyed, ranging from questions of existence to the treatment of duality. Particular attention is paid to questions of proper maximality. The discussion is based on a broad range of definitions and selected theorems from the literature.