Variational Methods in Partially Ordered Spaces - Alfred Göpfert

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Résumé :
This book discusses basic tools of partially ordered spaces and applies them to variational methods in Nonlinear Analysis and for optimizing problems. This book is aimed at graduate students and research mathematicians....

Biographie:
Professor Alfred G?pfert researched and taught at the University of Leipzig, at the Technical University of Leuna-Merseburg and at Martin-Luther-University Halle-Wittenberg (Germany). In 1973, his book Mathematische Optimierung in allgemeinen Vektorr?umen was published by Teubner. Alfred G?pfert has co-authored the textbooks Funktionalanalysis (Teubner, 4th edition 1994) and Lexikon der Optimierung - Optimierung und optimale Steuerung (Akademie Verlag Berlin, 1986) as well as the monographs Vektoroptimierung - Theorie, Verfahren und Anwendungen (Teubner, 1990) and Variational Methods in Partially Ordered Spaces (Springer, 2003). Alfred G?pfert worked on the final version of the second edition of the monograph Variational Methods in Partially Ordered Spaces until his death in January 2023. Hassan Riahi received his Ph.D. degree in Applied Mathematics in 1989 at the University of Montpelier. Since 1990 he is a Professor in Applied Mathematics at the S?mlalia Faculty of Sciences at the University Cadi Ayyad in Marrakesh. His main research interests include Numerical and theoretical optimization, Variational inequalities, and Convex analysis, and he is the author of over 60 published papers and four edited books. He supervised a dozen doctoral students. Christiane Tammer is Professor at Martin-Luther-University Halle-Witten[1]berg. She is working in the fields of variational analysis and optimization. She has co-authored five monographs, i.e., Scalarization and Separation by Translation Invariant Functions, Springer (2020)...

Sommaire:
Examples.- Functional Analysis over Cones.- Optimization in Partially Ordered Spaces.- Applications.