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
 
Document Language : Arabic 
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. 
Journal Name : Nonlinear Analysis: Theory 
Volume : 68 
Issue Number : 8 
Publishing Year : 2008 AH  
Added Date : Monday, June 23, 2008 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
.Hemant Kumar PathakResearcher  
نصير شهزاد محمدNaseer ShahzadResearcher nshahzad@kau.edu.sa

Download This Page

Back To Researches Page