Nonlinear Analysis

Approximation Theory, Optimization and Applications

Inbunden, Engelska, 2014

1 389 kr

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Many of our daily-life problems can be written in the form of an optimization problem. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows.

Produktinformation

Utgivningsdatum2014-06-24
Mått155 x 235 x 24 mm
Vikt684 g
FormatInbunden
SpråkEngelska
SerieTrends in Mathematics
Antal sidor352
Upplaga2014
FörlagSpringer, India, Private Ltd
ISBN9788132218821

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QAMRUL HASAN ANSARI is professor at the Department of Mathematics, Aligarh Muslim University, Aligarh, India. He has been visiting professor at several universities, namely, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia; National Sun Yat-sen University, Kaohsiung, Taiwan. He has visited several universities across the globe to deliver his talks. His main areas of research are variational analysis, optimization, convex analysis and fixed-point theory. He has published more than 150 research papers in international journals. He is the author of two books, and editor of three contributed volumes. He is the associate editor of Journal of Optimization Theory and Applications and Fixed Point Theory and Applications. He has also served as associate editor or lead guest editor of several journals, namely, Journal of Inequalities and Applications, Journal of Global Optimization, Positivity, Applicable Analysis.

Chapter 1. Best Proximity Points.- Chapter 2. Semi-Continuity Properties of Metric Projections.- Chapter 3. Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality.- Chapter 4. Measures of Non compactness and Well-Posed Minimization Problems.- Chapter 5. Well-Posedness, Regularization and Viscosity Solutions of Minimization Problems.- Chapter 6. Best Approximation in Nonlinear Functional Analysis.- Chapter 7. Hierarchical Minimization Problems and Applications.- Chapter 8. Triple Hierarchical Variational Inequalities.- Chapter 9. Split Feasibility and Fixed Point Problems.- Chapter 10. Isotone Projection Cones and Nonlinear Complementarity Problems.

From the book reviews: "This is a collection of survey papers on some topics in nonlinear functional analysis-best approximation, optimization, fixed point theory, monotone operators and variational inequalities, equilibrium problems. ... Containing well written survey papers by renown experts, the volume will provide researchers in nonlinear analysis and related domains to a quick introduction and, at the same time, with a state-of-the-art in several very active area of current investigation." (S. Cobzas, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 59 (3), 2014)