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Document Details
Document Type
:
Article In Journal
Document Title
:
Multivalued generalized nonlinear contractive maps and fixed points
Multivalued generalized nonlinear contractive maps and fixed points
Subject
:
Mathematics
Document Language
:
English
Abstract
:
We introduce some notions of generalized nonlinear contractive maps and prove some fixed point results for such maps. Consequently, several known fixed point results are either improved or generalized including the corresponding recent fixed point results of Ciric [L.B. Ciric, Multivalued nonlinear contraction mappings, Nonlinear Anal. 71 (2009) 27162723], Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl. 334 (2007) 132139], Feng and Liu [Y. Feng, S. Liu, Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings, J. Math. Anal. Appl. 317 (2006) 103112] and Mizoguchi and Takahashi [N. Mizoguchi, W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989) 177188].
ISSN
:
0362-546X
Journal Name
:
Nonlinear Analysis, Theory, Methods and Applications
Volume
:
74
Issue Number
:
4
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Tuesday, June 12, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
عبداللطيف نور محمد
Muhammad, Abdul Latif Noor
Researcher
Doctorate
alatif@kau.edu.sa
A A N Abdou
Abdou, A A N
Researcher
Doctorate
aabdou@kau.edu.sa
Files
File Name
Type
Description
33589.pdf
pdf
Abstract
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