Document Details

Document Type : Article In Journal 
Document Title :
Fixed points for generalized contractions and applications to control theory
Fixed points for generalized contractions and applications to control theory
 
Subject : Mathematics 
Document Language : English 
Abstract : The concepts of "weak/strong topological contraction" and a generalization of Banach contraction mappings called "p-contraction" are introduced and used to prove fixed point theorems for self-mappings from a topological/metric space into itself satisfying topological contraction/metric p-contraction, respectively. Certain non-linear integral equations defined on C [a, b] satisfying generalized Lipschitzian conditions can easily be solved by applying these theorems. In the sequel, we shall study the possibility of optimally controlling the solution of the ordinary differential equation via dynamic programming. 
ISSN : 0362-546X 
Journal Name : Nonlinear Analysis, Theory, Methods and Applications 
Volume : 68 
Issue Number : 8 
Publishing Year : 1429 AH
2008 AD 
Article Type : Article 
Added Date : Sunday, December 11, 2011 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
Hemant Kumar PathakPathak, Hemant KumarResearcherDoctoratehkpathak@sify.com
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kau.edu.sa

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