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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 Type
Dr Grade
Email
Hemant Kumar Pathak
Pathak, Hemant Kumar
Researcher
Doctorate
hkpathak@sify.com
نصير شهزاد
Shahzad, Naseer
Researcher
Doctorate
nshahzad@kau.edu.sa
Files
File Name
Type
Description
31627.pdf
pdf
Abstract
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