Thecontinuousandincreasinginterestconcerningvectoroptimizationperc-
tible in the research community, where contributions dealing with the
theory of duality abound lately, constitutes the main motivation that
led to writing this book. Decisive was also the research experience of
the authors in this ?eld, materialized in a number of works published
within the last decade. The need for a book on duality in vector
optimization comes from the fact that despite the large amount of papers
in journals and proceedings volumes, no book mainly concentrated on this
topic was available so far in the scienti?c landscape. There is a
considerable presence of books, not all recent releases, on vector
optimization in the literature. We mention here the ones due to Chen,
HuangandYang(cf. [49]), EhrgottandGandibleux(cf. [65]), Eichfelder
(cf. [66]), Goh and Yang (cf. [77]), G] opfert and Nehse (cf.
[80]), G] opfert, - ahi, Tammer and Z? alinescu (cf. [81]), Jahn
(cf. [104]), Kaliszewski (cf. [108]), Luc (cf. [125]), Miettinen
(cf. [130]), Mishra, Wang and Lai (cf. [131,132]) and Sawaragi,
Nakayama and Tanino (cf. [163]), where vector duality is at most
tangentially treated. We hope that from our e?orts will bene't not only
researchers interested in vector optimization, but also graduate and
und- graduate students. The framework we consider is taken as general as
possible, namely we work in (locally convex) topological vector spaces,
going to the usual ?nite - mensional setting when this brings additional
insights or relevant connections to the existing literature.
