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.
General
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