Weak condition for generalized multi-valued (f,α,β)-weak contraction mappings
Journal article
Authors/Editors
Strategic Research Themes
No matching items found.
Publication Details
Author list: Sintunavarat W., Kumam P.
Publisher: Elsevier
Publication year: 2011
Journal: Applied Mathematics Letters (0893-9659)
Volume number: 24
Issue number: 4
Start page: 460
End page: 465
Number of pages: 6
ISSN: 0893-9659
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
In 2007, Kamran [T. Kamran, Multivalued f-weakly Picard mappings, Nonlinear Anal. 67 (2007) 22892296] extended the notion of multi-valued mapping from weak contraction and generalized (α,L)-weak contraction to f-weak contraction and generalized multi-valued f-weak contraction. He also obtained some common fixed point theorems with the notion of T-weakly commuting at a coincidence point of a hybrid pair. In this paper, we can drop the condition of T-weakly commuting in Theorems 2.9 and 3.5 in [5]. We further extend the notion of generalized multi-valued f-weak contraction and introduce the notion of generalized multi-valued (f,α,β)-weak contraction. We also establish some coincidence and common fixed point theorems with generalized multi-valued (f,α,β)-weak contraction mappings. Our results extend and generalize several common fixed point theorems of many authors. © 2010 Elsevier Ltd. All rights reserved.
Keywords
generalized multi-valued (f,α,β)-weak contraction
Contact Information