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Many of our daily-life problems can be written in the form of an optimization problem. Therefore, the solution methods are needed to solve such problems. Due to 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 volume highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. This volume is immensely helpful for young graduates and researchers who are pursuing research in this field, as the volume provides adequate research resources for researchers and post-doctoral fellows. This should be a valuable addition to everyone s library, who works in the field of applied mathematics, economics and engineering.