EN
Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras
Abstract
In this paper, we first give the notion of weak c-comparison function, and prove some associated fixed point theorems containing classes of many well known theorems in the setting of cone metric spaces over Banach algebras with solid cones.
Keywords
References
- S. Banach, \textit{Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales}. Fundam. Math., 1922 \textbf{(3)}: 133–181.
- R. Kannan, \textit{Some results on fixed points}. Bull.Calcultta Math.Soc., 1968 \textbf{(10)}: 71-76.
- S.K. Chatterjea, \textit{Fixed Point Theorems}. C.R.Acad.Bulgare Sci., 1972 \textbf{(25)}: 727-730.
- T. Zamfirescu, \textit{Fixed Point theorems in metric spaces}. Arch.Math.(Basel), 1972 \textbf{(23)}: 292-298.
- V. Berinde, \textit{Approximating fixed points of weak contractions using the Picard iterations}. Nonlinear Anal. Forum, 2004 \textbf{(9)}: 43-53.
- M.A Alghamdi, V. Berinde and N. Shahzad, \textit{Fixed points of non-self almost contractions}. Carp. J.Math., 2014 \textbf{(30)}: 7-14.
- V. Berinde and M. Pacurar, \textit{Fixed points and continuity of almost contractions}. Fixed Point Theory, 2008 \textbf{(9)}: 23-34.
- T. Suzuki, \textit{Fixed point theorems for Berinde mappings}. Bull. Kyushu Inst. Tech. Pure Appl. Math., 2011 \textbf{(58)}: 13-1
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
July 23, 2019
Submission Date
July 23, 2019
Acceptance Date
July 23, 2019
Published in Issue
Year 1970 Volume: 2 Number: 1
APA
Özavşar, M., & Develi, F. (2019). Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras. Mathematical Advances in Pure and Applied Sciences, 2(1), 25-33. https://izlik.org/JA36KY66NP
AMA
1.Özavşar M, Develi F. Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras. MAPAS. 2019;2(1):25-33. https://izlik.org/JA36KY66NP
Chicago
Özavşar, Muttalip, and Faruk Develi. 2019. “Weak C-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras”. Mathematical Advances in Pure and Applied Sciences 2 (1): 25-33. https://izlik.org/JA36KY66NP.
EndNote
Özavşar M, Develi F (July 1, 2019) Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras. Mathematical Advances in Pure and Applied Sciences 2 1 25–33.
IEEE
[1]M. Özavşar and F. Develi, “Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras”, MAPAS, vol. 2, no. 1, pp. 25–33, July 2019, [Online]. Available: https://izlik.org/JA36KY66NP
ISNAD
Özavşar, Muttalip - Develi, Faruk. “Weak C-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras”. Mathematical Advances in Pure and Applied Sciences 2/1 (July 1, 2019): 25-33. https://izlik.org/JA36KY66NP.
JAMA
1.Özavşar M, Develi F. Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras. MAPAS. 2019;2:25–33.
MLA
Özavşar, Muttalip, and Faruk Develi. “Weak C-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras”. Mathematical Advances in Pure and Applied Sciences, vol. 2, no. 1, July 2019, pp. 25-33, https://izlik.org/JA36KY66NP.
Vancouver
1.Muttalip Özavşar, Faruk Develi. Weak c-Comparison Function and a Fixed Point Theorem in Cone Metric Spaces over Banach Algebras. MAPAS [Internet]. 2019 Jul. 1;2(1):25-33. Available from: https://izlik.org/JA36KY66NP