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Vector Optimization and Monotone Operators via Convex Duality: Recent Advances

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This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.

748 pages, Kindle Edition

First published October 8, 2014

About the author

Sorin-Mihai Grad

7 books1 follower
Sorin-Mihai Grad e originar din Satu Mare, a absolvit facultatea de matematică și informatică a UBB Cluj, are un doctorat în matematici aplicate, iar din octombrie 2000 trăieşte în străinătate, activând ca profesor universitar de matematici aplicate.

A publicat poezii, proze şi alte texte în e-revistele Respiro, Europe’s Times and Unknown Waters, NordLitera, Prolog, Argos, dbrom, The Ultimate Hallucination, Noi Nu!, Revista română de literatură online, EgoPHobia, Sisif, Tiuk!, Actualitatea literară, în antologiile Noesis (3 & 4), Caiete mălinene, Valurile înaintea mării şi Conexiuni, precum şi în revistele Poesis, Tribuna, Versus/m, Antiteze, Galateea, Akademia, Mozaicul, Ecran magazin, Reflections; a primit o menţiune la concursul literar „Panait Cerna” (2003), premiul revistei Hyperion la concursul literar “Porni Luceafărul” (2007) şi premiul al doilea la concursul literar “Orizonturi Româneşti” (2010); volumul de poerezii „SUROGAT” (Herg Benet Publishers, 2010) reprezintă debutul său literar. A mai publicat volumul de poerezii „outSider” (Aius, 2016) și romanele „Camera 66(6)” (Crux Publishers, 2018) și „Răul cel mai mic” (Datagroup, 2025).

Este editor al e-revistei culturale EgoPHobia şi a fost editor coordonator al site-ului oficial al echipei de fotbal AS FC Olimpia Satu Mare

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