Nonlinear Analysis

1. Front Matter

   Pages i-xv

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2. Best Proximity Points

   • P. Veeramani, S. Rajesh

   Pages 1-32

3. Semi-continuity Properties of Metric Projections

   • V. Indumathi

   Pages 33-59

4. Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality

   • P. Shunmugaraj

   Pages 61-107

5. Measures of Noncompactness and Well-Posed Minimization Problems

   • Józef Banaś

   Pages 109-134

6. Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems

   • D. V. Pai

   Pages 135-164

7. Best Approximation in Nonlinear Functional Analysis

   • S. P. Singh, M. R. Singh

   Pages 165-198

8. Hierarchical Minimization Problems and Applications

   • D. R. Sahu, Qamrul Hasan Ansari

   Pages 199-229

9. Triple Hierarchical Variational Inequalities

   • Qamrul Hasan Ansari, Lu-Chuan Ceng, Himanshu Gupta

   Pages 231-280

10. Split Feasibility and Fixed Point Problems

    • Qamrul Hasan Ansari, Aisha Rehan

    Pages 281-322

11. Isotone Projection Cones and Nonlinear Complementarity Problems

    • M. Abbas, S. Z. Németh

    Pages 323-347

12. Back Matter

    Pages 349-352

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Many 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.

• Approximating sequence
• Approximation theory
• Iterative process
• Nonlinear analysis
• Variational inequality

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. Cobzaş, Studia Universitatis Babeş-Bolyai, Mathematica, Vol. 59 (3), 2014)

• Department of Mathematics, Aligarh Muslim University, Aligarh, India

  Qamrul Hasan Ansari

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.

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