Explicit stationarity conditions and solution characterization for equilibrium problems with equilibrium constraints [Elektronische Ressource] / von Thomas Michael Surowiec

Explicit Stationarity Conditions andSolution Characterization for EquilibriumProblems with Equilibrium ConstraintsD I SS E RTATI O Nzur Erlangung des akademischen Gradesdoctor rerum naturaliumim Fach Mathematikeingereicht an derMathematisch-Naturwissenschaftlichen Fakultät IIHumboldt-Universität zu BerlinvonHerrn Thomas Michael Surowiecgeboren am 09.07.1982 in Passaic, New Jersey, USAPräsident der Humboldt-Universität zu Berlin:Prof. Dr. Dr. h.c. Christoph MarkschiesDekan der Mathematisch-Naturwissenschaftlichen Fakultät II:Prof. Dr. Peter FrenschGutachter:1. PD Dr. René Henrion2. Prof. Dr. Werner Römisch3. Prof. Dr. Jiří V. Outrataeingereicht am: 12. August 2009Tag der mündlichen Prüfung: 27. Januar 2010To my mother and father,without whom this wouldnever have been possible.iiiAcknowledgmentsI would first and foremost like to thank my two academic advisors René Henrionand Jiří V. Outrata for their unwavering support of me and my project. Theirpatience and dedication, along with their deep knowledge of the theory of opti-mization and variational analysis, allowed me to rapidly immerse myself in whatwas a relatively new subject to me when I began researching three years ago.In addition, I wish to thank Werner Römisch, whose weekly optimization sem-inars provided me with a semesterly forum for presenting my latest results andwhose thought-provoking questions guided me along the way, as well as Boris S.