New fixed point results in bv (s)-metric spaces-Reference-Cited by-同舟云学术

New fixed point results in bv (s)-metric spaces

Published:2020-03-10 Issue:2 Volume:70 Page:441-452
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Došenović Tatjana¹,Kadelburg Zoran²,D. Mitrović Zoran³,Radenović Stojan⁴⁵

Affiliation:

1. Faculty of Technology , University of Novi Sad , Bulevar cara Lazara 1 , Novi Sad , Serbia

2. Faculty of Mathematics , University of Belgrade , Studentski trg 16 , Belgrade , Serbia

3. Faculty of Electrical Engineering , University of Banja Luka , Patre 5 , Banja Luka , Bosnia and Hercegovina

4. Nonlinear Analysis Research Group , Ton Duc Thang University , Ho Chi Minh City , Vietnam

5. Department of Mathematics and Statistics , Ton Duc Thang University , Ho Chi Minh City , Vietnam

Abstract

Abstract Z. D. Mitrović and S. Radenović introduced in [The Banach and Reich contractions in bv (s)-metric spaces, J. Fixed Point Theory Appl. 19 (2017), 3087–3095] a new class of generalized metric spaces and proved some fixed point theorems in this framework. The purpose of this paper is to consider other kinds of contractive mappings in bv (s)-metric spaces, and show how the work in the new settings differs from the one in standard metric and b-metric spaces. Examples show the usefulness of the obtained results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0362/pdf

Reference19 articles.

1. Abbas, M.—Chema, I. Z.—Razani, A.: Existence of common fixed point for b-metric rational type contraction, Filomat 30(6) (2016), 1413–1429.

2. Aleksić, S.—Mitrović, Z.D.—Radenović, S.: A fixed point theorem of Jungck inbv(s)-metric spaces, Period. Math. Hungar., to appear, https://doi.org/10.1007/s10998-018-0236-1.

3. Bakhtin, I. A.: The contraction mapping principle in quasimetric spaces, Funct. Anal. 30 (1989), 26–37.

4. Berinde, V.: Approximation fixed points of weak contractions using Picard iteration, Nonlinear Anal. Forum 9(1) (2004), 43–53.

5. Branciari, A.: A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), 31–37.

Cited by 5 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. Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces;Fractal and Fractional;2023-01-04

2. On contractive mappings in bv(s)-metric spaces;Fixed Point Theory;2022-06-15

3. Some Fixed Point Results in Partial Rectangular Metric-Like Spaces;Journal of Mathematics;2021-10-20

4. Fixed point results in partially ordered partial b_v(s)-metric spaces;INT J NONLINEAR ANAL;2021

5. Existence of a solution of fractional differential equations using the fixed point technique in extended $ b $-metric spaces;AIMS Mathematics;2021