This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.
The topics of control engineering and signal processing continue to flourish and develop. In common with general scientific investigation, new ideas, concepts and interpretations emerge quite spontaneously and these are then discussed, used, discarded or subsumed into the prevailing subject paradigm. Sometimes these innovative concepts...
Point-to-point vs. hub-and-spoke. Questions of network design are real and involve many billions of dollars. Yet little is known about optimizing design - nearly all work concerns optimizing flow assuming a given design. This foundational book tackles optimization of network structure itself, deriving comprehensible and realistic design principles....
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PHP, JavaScript, and HTML5 are essential programming languages for creating dynamic websites that work with the MySQL database. PHP and MySQL provide a robust, easy-to-learn, open-source solution for creating superb e-commerce sites and content management....
This volume presents the latest global knowledge of thyroid disorders in infancy, childhood, and adolescence and represents experience and views from a panel of the world’s most renowned authorities on thyroid pathophysiology and clinical entities in the pediatric population. Both basic science and clinical aspects of thyroid disease...
The market leading "Essentials of Investments, 7e" by Bodie, Kane and Marcus is an undergraduate textbook on investment analysis, presenting the practical applications of investment theory to convey insights of practical value. The authors have eliminated unnecessary mathematical detail and concentrate on the intuition and insights...