Topics in Nonconvex Optimization

 Some Equivalences among Nonlinear Complementarity Problems, Least-Element Problems and Variational Inequality Problems in Ordered Spaces. Qamrul Hasan Ansari and Jen-Chih Yao.- Generalized Monotone Maps and Complementarity Problems. S. K. Neogy and A. K. Das.- Optimality Conditions Without Continuity in Multivalued Optimization using Approximations as Generalized Derivatives. Phan Quoc Khanh and Nguyen Dinh Tuan.- Variational Inequality and Complementarity Problem. Sudarsan Nanda.- A Derivative for Semi-preinvex Functions and its Applications in Semi-preinvex Programming. Y.X. Zhao, S.Y. Wang, L.Coladas Uria, S.K. Mishra.- Proximal Proper Saddle Points in Set-Valued Optimization. C. S. Lalitha and R. Arora.- Metric Regularity and Optimality Conditions in Nonsmooth Optimization. Anulekha Dhara and Aparna Mehra.- An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem. Pankaj Gupta and Mukesh Kumar Mehlawat.- 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 and Kalpana Shukla.- Ekeland type Variational Principles and Equilibrium Problems. Qamrul Hasan Ansari and Lai-Jiu Lin.- Decomposition Methods Based on Augmented Lagrangians: A Survey. Abdelouahed Hamdi and Shashi K. Mishra.- Second Order Symmetric Duality with Generalized Invexity. S.K. Padhan and C. Nahak.- A Dynamic Solution Concept to Cooperative Games with Fuzzy Coalitions. Surajit Borkotokey.- Characterizations of the Solution Sets and Sufficient Optimality Criteria via Higher Order Strong Convexity. Pooja Arora, Guneet Bhatia and Anjana Gupta.- Variational Inequalities and Optimistic Bilevel Programming Problem Via Convexifactors.Bhawna Kohli.- On Efficiency in Nondifferentiable Multiobjective Optimization Involving Pseudo D-Univex Functions; Duality. J. S. Rautela and Vinay Singh.- Index.

Shashi Kant Mishra has previously written for Springer (Invexity and Optimization in the NOIA series, ISBN: 978-3-450-78561-3). This volume brings together new concepts theoretical developments, and applications from researchers in India in the non-convex content areas.