Addressing an open problem of Choudhury et al. “Fuzzy Sets Syst. 8 (2013), 84-97”-Reference-Cited by-同舟云学术

Addressing an open problem of Choudhury et al. “Fuzzy Sets Syst. 8 (2013), 84-97”

Published:2023-05-04 Issue:5 Volume:44 Page:7211-7223
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Jain Manish¹,Kumar Sanjay²,Park Choonkil³

Affiliation:

1. Department of Mathematics, Ahir College, Rewari, India

2. Department of Mathematics, DCRUST, Murthal, Sonepat, India

3. Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

Abstract

The question of relaxing the compatible hypothesis of the pair of mappings in fixed point theory has always been remained an open problem. We address such an open problem raised by Choudhury et al. [4] and also explicitly settles the issue of monotone and continuity hypotheses of the involved mappings in coupled coincidence point results. Moreover, we state a gap in an example given in [3] and repair it. Application to the dynamic programming problem shows the usability of present work. Finally, we also propose an open problem for further investigation.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference25 articles.

1. Fuzzy fixed points of fuzzymappings via F-contractions and an application;Ahmad;J. Intell.Fuzzy Syst.,2019

2. Fixed point theorems inpartially ordered metric spaces and applications;Bhaskar;NonlinearAnal.,2006

3. Coupled coincidence pointresults for compatible mapping in partially ordered fuzzy metricspaces;Choudhury;Fuzzy Sets Syst.,2013

4. Choudhury B.S. , Das P. and Saha P. , Coupled coincidence pointresults for probabilistic φcontractions, CogentMath. 3 (2016), Article ID 1204069.

5. Solving the Banach fixed point principle fornonlinear contractions in probabilistic metric spaces;Ćirić;Nonlinear Anal.,2010