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Abstract Convexity and Global Optimization


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Table of Contents

Preface. Acknowledgment. 1. An Introduction to Abstract Convexity. 2. Elements of Monotonic Analysis: IPH Functions and Normal Sets. 3. Elements of Monotonic Analysis: Monotonic Functions. 4. Application to Global Optimization: Lagrange and Penalty Functions. 5. Elements of Star-Shaped Analysis. 6. Supremal Generators and Their Applications. 7. Further Abstract Convexity. 8. Application to Global Optimization: Duality. 9. Application to Global Optimization: Numerical Methods. References. Index.


'This book, written by one of the leading contributors in the field, is an up-to-date and very valuable reference. It will be precious to any researcher working in the field on theoretical aspects and applications as well. It opens new ways in global optimization.'
Mathematical Reviews (2002i)
'The book will be very useful for experts in optimisation and aspects of functional and numerical analysis and related topics. This is an excellent introduction to those who are interested in the study of abstract convexity and its applications and to very interesting and highly applicable generalisations on convexity.'
Australian Mathematical Society GAZETTE, August (2002)

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