Continuous Optimization and Variational Inequalities (eBook, PDF)

Redaktion: Jayswal, Anurag; Antczak, Tadeusz

• Format: PDF

Produktbeschreibung

The proposed book describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 378
• Erscheinungstermin: 13. September 2022
• Englisch
• ISBN-13: 9781000648935
• Artikelnr.: 64356797

Autorenporträt

Anurag Jayswal is Associate Professor in the Department of Mathematics and Computing, In- dian Institute of Technology, Dhanbad, India. He obtained his Master in mathematics from Banaras Hindu University, Varanasi, India and was awarded first order of merit. He received his PhD degree in mathematics from the Depart- ment of Mathematics, Banaras Hindu Univer- sity, Varanasi, India. He received a young scien- tist project from the Department of Science and Technology, Government of India. He has more than 15 years of academic experience and teach- ing in BIT Mesra, Ranchi and Indian Institute of Technology, Dhanbad, India. His research interest is continuous optimization, nonsmooth optimization, generalized convexity, control theory and variational inequalities problems. He is the author and coauthor of more than 100 journal papers in the field of continuous optimization and variational inequalities and has supervised more than 10 PhD students. He is editorial board member of Opsearch, India and Advances in Variational Inequalities, USA. He visited several countries to deliver their talks in international conferences. He is a reviewer of various international journals. Tadeusz Antczak is Associate Professor in the Faculty of Mathematics and Computer Science, University of Lödz¿, Lödz¿, Poland. He has obtained his Master in mathematics at Faculty of Mathematics, Physics and Chemistry, University of Lödz¿, Lödz¿, Poland. He has received his PhD degree in mathematics at Faculty of Mathematics and Computer Science, University of Lödz¿, Lödz¿, Poland. He has obtained a postdoctoral degree in mathematics also at Faculty of Mathematics and Computer Science, University of Lödz¿, Lödz¿, Poland. He has more than 30 years of academic experience and teaching in Faculty of Mathemat- ics and Computer Science, University of Lödz¿, Lödz¿, Poland. His research interest is continuous optimization, multiobjective programming, nonsmooth optimization, generalized convexity, control theory, variational inequalities problems and relational databases. He is the author and co-author of more than 100 journal papers in the field of continuous optimization. He is an editorial board member of Advances in Nonlinear Vari- ational Inequalities (ANVI), USA, and Journal of Advanced Mathematical Studies, Romania. He participated in several international conferences. He is a reviewer of many international journals.

Inhaltsangabe

1. Mixed Type Duality and Saddle Point Criteria for Multiobjective
Programming Problems with Nonsmooth Generalized Invexity. 2. Optimality and
Duality for Nonsmooth Optimization Problems with Switching Constraints. 3.
Optimality Conditions for Approximate Solutions of Nonsmooth Semi-infinite
Vector Optimization Problems. 4. Density Aspects in Semi-Infinite Vector
Optimization. 5. Optimality Conditions and Duality for Nondifferentiable
Multiobjective Fractional Programming Problems. 6. Nonconvex Nonsmooth
Minimax Fractional Programming involving Generalized Semidifferentiable
Preinvex Functions with Different Directions. 7. Optimality Conditions and
Wolfe Duality Results for LU-Efficiency in Differentiable Vector
Optimization Problems with Multiple Interval-Valued Objective Function and
Vanishing Constraints. 8. Interval-Valued Multi-Time Control Problem with
Applications. 9. Generalized Minty and Stampacchia Vector Variational-Like
Inequalities and Interval-Valued Vector Optimization Problems. 10.
Sufficient Optimality Conditions and Duality for a Nonsmooth
Interval-Valued Optimization Problem with Generalized Convexity via
gH-Clarke Subgradients. 11. Forward-Backward Extragradient Methods for
Quasimonotone Variational Inequalities. 12. Multidimensional Split
Variational Inequality in Traffic Analysis. 13. Controlled Nonlinear
Dynamics for Constrained Optimization Problems Involving Second-Order
Partial Derivatives. 14. A Non-Parametric Dual Control Algorithms of
Multidimensional Static Systems with Delay. 15. Well-Posedness of Set
Optimization Using Nonlinear Scalarization Function.