Research Article

A fixed point theorem without a Picard operator

Volume: 4 Number: 3 September 30, 2021
EN

A fixed point theorem without a Picard operator

Abstract

In this short note, we propose a fixed point theorem in the setting of a Banach space without using a Picard operator.

Keywords

References

  1. [1] I. Gornicki and B.E.Rhoades, A general fixed point theorem for involutions, Indian J. Pure Appl. Math. 27(1) 1996, 13-23.
  2. [2] V. Berinde, Contract ¸ii generalizate ¸ si aplicat ¸ii , Editura Club Press 22, Baia Mare, 1997.
  3. [3] V. Berinde, Generalized contractions in quasimetric spaces, Seminar on Fixed Point Theory, Preprint no. 3(1993), 3-9.
  4. [4] V. Berinde, Sequences of operators and fixed points in quasimetric spaces , Stud. Univ. ”Babe¸ s-Bolyai”, Math., 16(4)(1996), 23-27.
  5. [5] I. A. Rus, The theory of a metrical fixed point theorem: theoretical and applicative relevances, Fixed Point Theory, 9(2008), No. 2, 541-559.
  6. [6] I. A. Rus, Generalized contractions and applications, Cluj University Press, Cluj-Napoca, 2001.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

September 30, 2021

Submission Date

March 29, 2021

Acceptance Date

June 20, 2021

Published in Issue

Year 2021 Volume: 4 Number: 3

APA
Karapınar, E. (2021). A fixed point theorem without a Picard operator. Results in Nonlinear Analysis, 4(3), 127-129. https://doi.org/10.53006/rna.904880
AMA
1.Karapınar E. A fixed point theorem without a Picard operator. RNA. 2021;4(3):127-129. doi:10.53006/rna.904880
Chicago
Karapınar, Erdal. 2021. “A Fixed Point Theorem Without a Picard Operator”. Results in Nonlinear Analysis 4 (3): 127-29. https://doi.org/10.53006/rna.904880.
EndNote
Karapınar E (September 1, 2021) A fixed point theorem without a Picard operator. Results in Nonlinear Analysis 4 3 127–129.
IEEE
[1]E. Karapınar, “A fixed point theorem without a Picard operator”, RNA, vol. 4, no. 3, pp. 127–129, Sept. 2021, doi: 10.53006/rna.904880.
ISNAD
Karapınar, Erdal. “A Fixed Point Theorem Without a Picard Operator”. Results in Nonlinear Analysis 4/3 (September 1, 2021): 127-129. https://doi.org/10.53006/rna.904880.
JAMA
1.Karapınar E. A fixed point theorem without a Picard operator. RNA. 2021;4:127–129.
MLA
Karapınar, Erdal. “A Fixed Point Theorem Without a Picard Operator”. Results in Nonlinear Analysis, vol. 4, no. 3, Sept. 2021, pp. 127-9, doi:10.53006/rna.904880.
Vancouver
1.Erdal Karapınar. A fixed point theorem without a Picard operator. RNA. 2021 Sep. 1;4(3):127-9. doi:10.53006/rna.904880

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