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Document Details
Document Type
:
Article In Journal
Document Title
:
Fixed point results for set-valued contractions by altering distances in complete metric spaces
Fixed point results for set-valued contractions by altering distances in complete metric spaces
Subject
:
Mathematics
Document Language
:
English
Abstract
:
Nadler's contraction principle has led to fixed point theory of set-valued contraction in non-linear analysis. Inspired by the results of Nadler, the fixed point theory of set-valued contraction has been further developed in different directions by many authors, in particular, by Reich, Mizoguchi-Takahashi, Feng-Liu and many others. In the present paper, the concept of generalized contractions for set-valued maps in metric spaces is introduced and the existence of fixed point for such a contraction are guaranteed by certain conditions. Our first result extends and generalizes the Nadler, Feng-Liu and Klim-Wardowski theorems and the second result is different from the Reich and Mizoguchi-Takahashi results. As a consequence, we derive some results related to fixed point of set-valued maps satisfying certain conditions of integral type.
ISSN
:
0362-546X
Journal Name
:
(2009) Nonlinear Analysis, Theory, Methods and Applications
Volume
:
70
Issue Number
:
7
Publishing Year
:
2009 AH
2009 AD
Number Of Pages
:
7
Article Type
:
Article
Added Date
:
Tuesday, October 13, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
نصير شهزاد محمد
Shahzad, N.
Researcher
Doctorate
nshahzad@kau.edu.sa
Pathak, H.K
Pathak, H.K
Researcher
Doctorate
Files
File Name
Type
Description
23422.pdf
pdf
Abstract
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