Fixed Point Theory for Generalized Contractions in Cone Metric Spaces
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Average
Abstract
In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861-1869] and Kikkawa and Suzuki (2008) [M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942-2949]. (C) 2011 Elsevier B.V. All rights reserved.
Description
Baleanu, Dumitru/0000-0002-0286-7244; Farajzadeh, Ali/0000-0002-2296-0366
Keywords
Fixed Point, Cone Metric Space, Hausdorff Metric, Set-Valued Maps, set-valued maps, Degree theory for nonlinear operators, fixed point, Fixed-point and coincidence theorems (topological aspects), cone metric space, Hausdorff metric
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Farajzadeh, A.P., Amini-Harandi, A., Baleanu, D. (2012). Fixed point theory for generalized contractions in cone metric spaces. Communications In Nonlinear Science And Numerical Simulation, 17(2), 708-712. http://dx.doi.org/10.1016/j.cnsns.2011.01.016
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
10
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
17
Issue
2
Start Page
708
End Page
712
PlumX Metrics
Citations
CrossRef : 8
Scopus : 17
Captures
Mendeley Readers : 11
SCOPUS™ Citations
17
checked on Feb 24, 2026
Web of Science™ Citations
16
checked on Feb 24, 2026
Page Views
2
checked on Feb 24, 2026
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