© 2014

Nonlinear Analysis

Approximation Theory, Optimization and Applications

  • Qamrul Hasan Ansari
  • Presents a thorough and coherent introduction to some core topics from nonlinear analysis, namely, approximation theory, optimization theory, theory of variational inequalities and fixed point theory

  • Discusses the concept that forms the basis of current approximation methods, variational inequalities, optimization and fixed point theory

  • Focuses on applications of nonlinear analysis, approximation theory and optimization


Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. P. Veeramani, S. Rajesh
    Pages 1-32
  3. S. P. Singh, M. R. Singh
    Pages 165-198
  4. D. R. Sahu, Qamrul Hasan Ansari
    Pages 199-229
  5. Qamrul Hasan Ansari, Lu-Chuan Ceng, Himanshu Gupta
    Pages 231-280
  6. Qamrul Hasan Ansari, Aisha Rehan
    Pages 281-322
  7. Back Matter
    Pages 349-352

About this book


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

Editors and affiliations

  • Qamrul Hasan Ansari
    • 1
  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia

About the editors

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.

Bibliographic information

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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)