Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities

Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities
Author: George Isac
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2006-08-18
Genre: Mathematics
ISBN: 0387329005

This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics. The ideas and method presented in this book may be considered as a starting point for new developments. The book presents a new kind of application for the Leray–Schauder principle.

Nonlinear Analysis and Variational Problems

Nonlinear Analysis and Variational Problems
Author: Panos M. Pardalos
Publisher: Springer Science & Business Media
Total Pages: 502
Release: 2009-10-20
Genre: Business & Economics
ISBN: 1441901582

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Scalar and Asymptotic Scalar Derivatives

Scalar and Asymptotic Scalar Derivatives
Author: George Isac
Publisher: Springer Science & Business Media
Total Pages: 253
Release: 2008-05-21
Genre: Mathematics
ISBN: 0387739882

This extremely useful book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds. The text is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry and applied mathematics.

Complementarity, Equilibrium, Efficiency and Economics

Complementarity, Equilibrium, Efficiency and Economics
Author: G. Isac
Publisher: Springer Science & Business Media
Total Pages: 458
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475736231

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.

Mathematical Analysis, Approximation Theory and Their Applications

Mathematical Analysis, Approximation Theory and Their Applications
Author: Themistocles M. Rassias
Publisher: Springer
Total Pages: 745
Release: 2016-06-03
Genre: Mathematics
ISBN: 3319312812

Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Optimization and Optimal Control

Optimization and Optimal Control
Author: Altannar Chinchuluun
Publisher: Springer Science & Business Media
Total Pages: 508
Release: 2010-07-07
Genre: Mathematics
ISBN: 0387894950

Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization and optimal control can be applied.