Research Article

Suzuki - $F(\psi-\phi)-\alpha$ type fixed point theorem on quasi metric spaces

Volume: 4 Number: 1 March 31, 2020
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. [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. [2] S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equation integrals, Fund. Math.,3(1922),133–181.
  3. [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. [4] E. Karapinar, P. Kumam, Salimi, On alpha-psi - Meir-Keeler contractive mappings, Fixed Point Theory Appl.2013, Article ID94(2013).
  5. [5] O. Popescu, Two generalizations of some fixed point theorems, Comp. Math. Appl., 62, 3912–3919, (2011).
  6. [6] B. Samet, C. Vetro, P. Vetro, Fixed point theorems for alpha-psi-contractive mappings, Nonlinear Anal. 75(2012), 2154–2165.
  7. [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

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

https://doi.org/10.31197/atnaa.1090077