Some Topics in Fixed Point Theory

Ravindra Parsai

ISBN 10: 3639662601 / ISBN 13: 9783639662603

Published by Scholars' Press Aug 2014, 2014

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -Due to computer aided numerical analysis, approximating fixed point and convergence of iterative sequence have achieved importance. The study of random fixed points has been an active area of contemporary research in mathematics. Due to frequent confrontation with problems (equations) which are of non-linear and stochastic nature like, stochastic vibrations of beams and columns, noise study in electrical electronics engineering, system dynamics, water resource management, stochastic diffusion equation etc., random sequences and their convergence in numerical algorithms, image processing are becoming important day by day. Thus, fixed point theorems give the conditions under which maps (single or multivalued ) have solutions. The theory itself is a beautiful mixture of analysis (pure and applied), topology, and geometry. Over the last 50 years or so the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular fixed point techniques have been applied in such diverse fields as biology, chemistry, economics, engineering, game theory, and physics. 120 pp. Englisch.

Seller Inventory # 9783639662603

Bibliographic Details

• Title: Some Topics in Fixed Point Theory
• Publisher: Scholars' Press Aug 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 3639662601
• ISBN 13: 9783639662603
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 8D millimeters 220 millimeters width by 150 millimeters height by 8 millimeters depth
• Weight: 197 grams

About this title

Synopsis

Due to computer aided numerical analysis, approximating fixed point and convergence of iterative sequence have achieved importance. The study of random fixed points has been an active area of contemporary research in mathematics. Due to frequent confrontation with problems (equations) which are of non-linear and stochastic nature like, stochastic vibrations of beams and columns, noise study in electrical electronics engineering, system dynamics, water resource management, stochastic diffusion equation etc., random sequences and their convergence in numerical algorithms, image processing are becoming important day by day. Thus, fixed point theorems give the conditions under which maps (single or multivalued ) have solutions. The theory itself is a beautiful mixture of analysis (pure and applied), topology, and geometry. Over the last 50 years or so the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular fixed point techniques have been applied in such diverse fields as biology, chemistry, economics, engineering, game theory, and physics.

About the Author

Dr. Ravindra Parsai is working as an Associate Professor in Department Mathematics and Statistics in Medi-Caps Group of Institutions, Indore (M.P.). He has done Ph.D. in Mathematics from Barkatullah University, Bhopal [M.P.] in August, 2009. His field of research is “Some topics in fixed point theory” in the area of nonlinear functional analysis.