Fixed point theory for nonself generalized contractions in Kasahara spaces-Reference-Cited by-同舟云学术

Fixed point theory for nonself generalized contractions in Kasahara spaces

Published:2019-06-01 Issue:1 Volume:57 Page:66-76
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Filip Alexandru-Darius¹,Rus Ioan A.²

Affiliation:

1. “Babeş-Bolyai” University , Faculty of Economics and Business Administration, Department of Statistics-Forecast-Mathematics , Teodor Mihali Street, No. 58-60, 400591 Cluj-Napoca , Romania

2. “Babeş-Bolyai” University , Faculty of Mathematics and Computer Science, Department of Mathematics , Mihail Kogalniceanu Street, No. 1, 400084 Cluj-Napoca , Romania

Abstract

Abstract In this paper we extend some results of V. Berinde, Şt. Măruşter and I.A. Rus (Saturated contraction principles for nonself operators, generalizations and applications, Filomat, 31:11(2017), 3391-3406), which were given in metric spaces, to Kasahara spaces. Some research directions are also presented.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2019-0007

Reference22 articles.

1. [1] M.A. Alghamdi, N. Shahzad, and O. Valero, On fixed point theory in partial metric spaces, Fixed Point Theory Appl., 2012:175, (2012), 1–3010.1186/1687-1812-2012-175

2. [2] M.A. Alghamdi, N. Shahzad, and O. Valero, Fixed point theorems in generalized metric spaces with applications to computer science, Fixed Point Theory Appl., 2013:118, (2013), 1–2010.1186/1687-1812-2013-118

3. [3] V. Berinde and M. Choban, Generalized distances and their associate metrics. Impact on fixed point theory, Creat. Math. Inform., 22 (1), (2013), 23–3210.37193/CMI.2013.01.05

4. [4] V. Berinde, Şt. Măruşter, and I.A. Rus, Saturated contraction principles for nonself operators, generalizations and applications, Filomat, 31:11, (2017), 3391–340610.2298/FIL1711391B

5. [5] M. Bukatin, R. Kopperman, S. Matthews, and H. Pajoohesh, Partial metric spaces, The American Mathematical Monthly, 116, (2009), 708–71810.4169/193009709X460831

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Weakly Picard mappings: Retraction-displacement condition, quasicontraction notion and weakly Picard admissible perturbation;Studia Universitatis Babes-Bolyai Matematica;2024-03-15

2. 2022/07/26 "Fixed point theorems for nonself generalized contractions on a large Kasahara space";Carpathian Journal of Mathematics;2022-07-26

3. Conversions between generalized metric spaces and standard metric spaces with applications in fixed point theory;Carpathian Journal of Mathematics;2021-06-09