New extension to fuzzy dynamic system and fuzzy fixed point results with an application

Amjad Ali; Eskandar Ameer; Suhad Subhi Aiadi; Muhammad Tariq; Muhammad Arshad; Nabil Mlaiki; Wasfi Shatanawi; Amjad Ali; Eskandar Ameer; Suhad Subhi Aiadi; Muhammad Tariq; Muhammad Arshad; Nabil Mlaiki; Wasfi Shatanawi

doi:10.3934/math.2023061

AIMS Mathematics

2023, Volume 8, Issue 1: 1208-1229. doi: 10.3934/math.2023061

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New extension to fuzzy dynamic system and fuzzy fixed point results with an application

1.
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
2.
Department of Mathematics, Taiz University, Taiz, Yemen
3.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia
4.
Institute of Mathematical Sciences, university of Malaya, Kuala Lumpur, Malaysia
5.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Received: 19 August 2022 Revised: 24 September 2022 Accepted: 03 October 2022 Published: 18 October 2022
MSC : 46T99, 47H10, 54H25

In this paper we introduce the notion of fuzzy dynamic system in $ b $ -metric-like space. By applying this, discuss some new refinements of the $ F $-fuzzy Suzuki-type fixed point results for the fuzzy operators are presented. Also, establish the concept fuzzy dynamic system instead of the Piscard iterative sequence, which improves the existing results for such analysis as those presented here. Includes some tangible instances and an application are given to highlight the usability and validity of the theoretical results.
- fuzzy dynamic system,
- fuzzy mappings,
- fuzzy fixed points,
- $ b $ -metric-like space,
- Hukuhara differentiability problem
Citation: Amjad Ali, Eskandar Ameer, Suhad Subhi Aiadi, Muhammad Tariq, Muhammad Arshad, Nabil Mlaiki, Wasfi Shatanawi. New extension to fuzzy dynamic system and fuzzy fixed point results with an application[J]. AIMS Mathematics, 2023, 8(1): 1208-1229. doi: 10.3934/math.2023061

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Abstract

In this paper we introduce the notion of fuzzy dynamic system in $ b $ -metric-like space. By applying this, discuss some new refinements of the $ F $-fuzzy Suzuki-type fixed point results for the fuzzy operators are presented. Also, establish the concept fuzzy dynamic system instead of the Piscard iterative sequence, which improves the existing results for such analysis as those presented here. Includes some tangible instances and an application are given to highlight the usability and validity of the theoretical results.

References

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