Ćirić type nonunique fixed point theorems in the frame of fuzzy metric spaces-Reference-Cited by-同舟云学术

Ćirić type nonunique fixed point theorems in the frame of fuzzy metric spaces

Published:2022 Issue:1 Volume:8 Page:2154-2167
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Došenović Tatjana¹,Rakić Dušan¹,Radenović Stojan²,Carić Biljana³

Affiliation:

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

2. Faculty of Mechanical Engineering, University of Belgrade, Serbia

3. Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, University Novi Sad, Serbia

Abstract

<abstract><p>The paper defines a new contractive condition within $ \kappa- $orbitally complete fuzzy metric spaces $ (\Theta, \mathcal{M}, \mathcal{T}) $, as well as fixed point theorems for single-valued and multi-valued function on $ \Theta $ which is not necessarily continuous. The contractive condition is motivated by an idea proposed in Ćirić's paper "On some maps with a nonunique fixed points". Continuity of mapping $ \kappa $ is replaced by $ \kappa- $orbitally continuity property which provides the existence of the fixed point, but not necessarily uniqueness.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference30 articles.

1. H. H. Alsulami, E. Karapinar, V. Rakočević, Ćirić type nonunique fixed point theorems on $b-$metric spaces, Filomat, 31 (2017), 3147–3156. https://doi.org/10.2298/FIL1711147A

2. S. Banach, Sur les op$\acute{e}$rations dans les ensembles abstraits et leur application aux $\acute{e}$uations int$\acute{e}$grales, Fund. Math., 3 (1922), 133–181.

3. A. T. Bharucha-Reid, Fixed point theorems in probabilistic analysis, Bull. Amer. Math. Soc., 82 (1976), 641–657. https://doi.org/10.1090/S0002-9904-1976-14091-8

4. L. B. Ćirić, On a family of contractive maps and fixed points, Publ. Inst. Math., 17 (1974), 45–51.

5. L. B. Ćirić, On some maps with a nonunique fixed points, Publ. Inst. Math., 31 (1974), 52–58.

Cited by 2 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 results under admissible $$\alpha$$-$$\eta$$-$$\mathcal {F}$$-simulation fuzzy contraction with application;International Journal of System Assurance Engineering and Management;2024-06-05

2. On generalizations of fuzzy metric spaces;Kybernetika;2024-02-14