Nonlinear Analysis: Stability, Approximation, and Inequalities

ISBN-13: 9781493941315 / Angielski / Miękka / 2016 / 893 str.

Pando Georgiev; Panos M. Pardalos; Hari M. Srivastava

Opis

The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

Spis treści

Part I, Stability
1. Stability problems for functional equations,
2. Fixed point theorems,
3. Critical point theorems,
4. Well posed optimization problems,
5. Parametric dependence of solutions of variational systems,
6. Applications.

Part II, Approximation
7.  Nonlinear approximation theory,
8. Interpolation problems,
9. Approximations in partial differential equations
10. Approximations in integral equations,
11. Approximations with polynomials
12. Special functions,
13. Applications to learning theory.

Part III, Inequalities,
14. Inequalities in analysis
15. Inequalities in approximation theory,
16. Variational inequalities and optimization
17. Multivalued variational inequalities and set-valued analysis
18. Applications.

Blurb

Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings.

 

This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work.