Generalized convexity and optimization: theory and applications

The authors have written a rigorous yet elementary and self-contained book topresent, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-worldproblems. The book begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, includingtheir applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, withthe characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted Unified framework of the most relevant results With proofs, exercises and solutions Usefultool for researchers as well as advanced students INDICE: Convex functions.- Non-differentiable generalized convex functions.- Differentiable generalized convex functions.- Optimality and generalized convexity.- Generalized convexity and generalized monotonicity.- Generalized convexity of quadratic functions.- Generalized convexity of some classes of fractional functions.- Sequential methods for generalized convex fractional programs.- Solutions.

• ISBN: 978-3-540-70875-9
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 246
• Fecha Publicación: 01/10/2008
• Nº Volúmenes: 1
• Idioma: Inglés