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Topics in Nonconvex Optimization

Theory and Applications

  • Book
  • © 2011

Overview

Editors:
  1. Shashi Kant Mishra

    1. Faculty of Science, Dept. of Mathematics, Banaras Hindu University, Varanasi, India

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  • Contributions are peer-reviewed to ensure quality.
  • Brings together new content, theoretical developments and applications.
  • Contains articles on both theory and application.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Nonconvex Optimization and Its Applications (SOIANOIA, volume 50)

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Table of contents (16 chapters)

  1. Front Matter

    Pages 1-13
    Download chapter PDF

  2. Some Equivalences Among Nonlinear Complementarity Problems, Least-Element Problems, and Variational Inequality Problems in Ordered Spaces

    • Qamrul Hasan Ansari, Jen-Chih Yao
    Pages 1-25

  3. Generalized Monotone Maps and Complementarity Problems

    • S. K. Neogy, A. K. Das
    Pages 27-46

  4. Optimality Conditions Without Continuity in Multivalued Optimization Using Approximations as Generalized Derivatives

    • Phan Quoc Khanh, Nguyen Dinh Tuan
    Pages 47-61

  5. Variational Inequality and Complementarity Problem

    • Sudarsan Nanda
    Pages 63-78

  6. A Derivative for Semipreinvex Functions and Its Applications in Semipreinvex Programming

    • Y. X. Zhao, S. Y. Wang, L. Coladas Uria, S. K. Mishra
    Pages 79-86

  7. Proximal Proper Saddle Points in Set-Valued Optimization

    • C. S. Lalitha, R. Arora
    Pages 87-100

  8. Metric Regularity and Optimality Conditions in Nonsmooth Optimization

    • Anulekha Dhara, Aparna Mehra
    Pages 101-114

  9. An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem

    • Pankaj Gupta, Mukesh Kumar Mehlawat
    Pages 115-131

  10. On Sufficient Optimality Conditions for Semi-Infinite Discrete Minmax Fractional Programming Problems Under Generalized V-Invexity

    • S. K. Mishra, Kin Keung Lai, Sy-Ming Guu, Kalpana Shukla
    Pages 133-145

  11. Ekeland-Type Variational Principles and Equilibrium Problems

    • Qamrul Hasan Ansari, Lai-Jiu Lin
    Pages 147-174

  12. Decomposition Methods Based on Augmented Lagrangians: A Survey

    • Abdelouahed Hamdi, Shashi K. Mishra
    Pages 175-203

  13. Second-Order Symmetric Duality with Generalized Invexity

    • S. K. Padhan, C. Nahak
    Pages 205-214

  14. A Dynamic Solution Concept to Cooperative Games with Fuzzy Coalitions

    • Surajit Borkotokey
    Pages 215-230

  15. Characterizations of the Solution Sets and Sufficient Optimality Criteria via Higher-Order Strong Convexity

    • Pooja Arora, Guneet Bhatia, Anjana Gupta
    Pages 231-242

  16. Variational Inequalities and Optimistic Bilevel Programming Problem Via Convexifactors

    • Bhawna Kohli
    Pages 243-255

  17. On Efficiency in Nondifferentiable Multiobjective Optimization Involving Pseudo d-Univex Functions; Duality

    • J. S. Rautela, Vinay Singh
    Pages 257-266

  18. Back Matter

    Pages 274-275
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Keywords

About this book

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science.

This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field.

Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in thisarea.

Editors and Affiliations

  • Faculty of Science, Dept. of Mathematics, Banaras Hindu University, Varanasi, India

    Shashi Kant Mishra

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