Ansari Q.H. (Ed.) Nonlinear Analysis: Approximation Theory, Optimization and Applications

Springer India, 2014. — 362 p. — (Trends in Mathematics) — ISBN: 8132218825Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found.
The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. 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. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.Best Proximity Points
Semi-continuity Properties of Metric Projections
Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
Measures of Noncompactness and Well-Posed Minimization Problems
Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems
Best Approximation in Nonlinear Functional Analysis
Hierarchical Minimization Problems and Applications
Triple Hierarchical Variational Inequalities
Split Feasibility and Fixed Point Problems
Isotone Projection Cones and Nonlinear Complementarity Problems