EN
Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces
Abstract
In this paper, we obtain a $\alpha$-Suzuki fixed point theorem by using $C$ - class function on quasi metric spaces. Also we give an example which supports our main theorem.
Keywords
References
- [1] A.H. Ansari, Note on phi-psi--contractive type mappings and related fixed point, The 2nd Regional Conference on Math.Appl.PNU, Sept.(2014), 377–380.
- [2] S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equation integrals, Fund. Math.,3(1922),133–181.
- [3] E. Karapinar, B. Samet, Generalized ( alpha-psi)-contractive type mappings and related fixed point theorems with applications. Abstr. Appl. Anal , 2012 (2012) Article id: 793486
- [4] E. Karapinar, P. Kumam, Salimi, On alpha-psi - Meir-Keeler contractive mappings, Fixed Point Theory Appl.2013, Article ID94(2013).
- [5] O. Popescu, Two generalizations of some fixed point theorems, Comp. Math. Appl., 62, 3912–3919, (2011).
- [6] B. Samet, C. Vetro, P. Vetro, Fixed point theorems for alpha-psi-contractive mappings, Nonlinear Anal. 75(2012), 2154–2165.
- [7] T. Suzuki, A generalized Banach contraction principle which characterizes metric completeness, Proc. Amer. Math. Soc. 2008. vol. 136, pp. 1861–1869.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
March 31, 2020
Submission Date
November 5, 2019
Acceptance Date
December 11, 2019
Published in Issue
Year 2020 Volume: 4 Number: 1
APA
Himabindu, V. M. (2020). Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces. Advances in the Theory of Nonlinear Analysis and Its Application, 4(1), 43-50. https://doi.org/10.31197/atnaa.643140
AMA
1.Himabindu VM. Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces. ATNAA. 2020;4(1):43-50. doi:10.31197/atnaa.643140
Chicago
Himabindu, Venigalla Madhulatha. 2020. “Suzuki - $F(\psi-\phi)-\alpha$ Type Fixed Point Theorem on Quasi Metric Spaces”. Advances in the Theory of Nonlinear Analysis and Its Application 4 (1): 43-50. https://doi.org/10.31197/atnaa.643140.
EndNote
Himabindu VM (March 1, 2020) Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces. Advances in the Theory of Nonlinear Analysis and its Application 4 1 43–50.
IEEE
[1]V. M. Himabindu, “Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces”, ATNAA, vol. 4, no. 1, pp. 43–50, Mar. 2020, doi: 10.31197/atnaa.643140.
ISNAD
Himabindu, Venigalla Madhulatha. “Suzuki - $F(\psi-\phi)-\alpha$ Type Fixed Point Theorem on Quasi Metric Spaces”. Advances in the Theory of Nonlinear Analysis and its Application 4/1 (March 1, 2020): 43-50. https://doi.org/10.31197/atnaa.643140.
JAMA
1.Himabindu VM. Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces. ATNAA. 2020;4:43–50.
MLA
Himabindu, Venigalla Madhulatha. “Suzuki - $F(\psi-\phi)-\alpha$ Type Fixed Point Theorem on Quasi Metric Spaces”. Advances in the Theory of Nonlinear Analysis and Its Application, vol. 4, no. 1, Mar. 2020, pp. 43-50, doi:10.31197/atnaa.643140.
Vancouver
1.Venigalla Madhulatha Himabindu. Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces. ATNAA. 2020 Mar. 1;4(1):43-50. doi:10.31197/atnaa.643140
Cited By
Hu's characterization of metric completeness revisited
Advances in the Theory of Nonlinear Analysis and its Application
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