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A new fixed point result in double controlled fuzzy metric space with application

Rakesh Tiwari|Vladimir Rakocevic|Shraddha Rajput
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제24권 제2호|pp. 185-198|DOI 10.30948/afmi.2022.24.2.185

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키워드

Fixed pointControl functionControlled fuzzy metric spacesDouble controlled fuzzy metric spaces

초록

In this paper, we introduce the notion of double controlled fuzzy metric spaces which is an extension of the result of Sezen [1]. The paper concerns our sustained efforts for the materialization of double controlled fuzzy metric spaces. Further, we establish a Banach-type fixed point theorem. We provide suitable examples with graphic that validate our result. We also employ an application to substantiate the utility of our established result to show the existence and unique solution of an integral equation.

Abstract

In this paper, we introduce the notion of double controlled fuzzy metric spaces which is an extension of the result of Sezen [1]. The paper concerns our sustained efforts for the materialization of double controlled fuzzy metric spaces. Further, we establish a Banach-type fixed point theorem. We provide suitable examples with graphic that validate our result. We also employ an application to substantiate the utility of our established result to show the existence and unique solution of an integral equation.

참고문헌 (21)

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  10. Nabil Mlaiki, "Controlled Metric Type Spaces and the Related Contraction Principle", Mathematics, 6(10), pp.194~ (2018), MDPI AG[DOI]
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  18. F. Mehmood, "Extended fuzzy b-metric spaces", J. Math. Anal, 8, pp.124~131 (2017)
  19. Izzettin Demir, "Fixed point theorems in complex valued fuzzy b-metric spaces with application to integral equations", Miskolc Mathematical Notes, 22(1), pp.153~171 (2021)
  20. Izzettin Demir, "Common xed soft element results in soft complex valued b-metric spaces", TWMS J. App. and Eng. Math, 11(1), pp.134~150 (2021)
  21. N. Saleema, "Fuzzy double controlled metric spaces and related results", Journal of Intelligent and Fuzzy Systems, 40, pp.9977~9985 (2021)

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