Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application | Zendy

Saif Ur Rehman | Zendy; Muhammad Talha Waheed | Zendy; Naeem Jan | Zendy; Abdu Gumaei | Zendy; Mabrook AlRakhami | Zendy

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Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application

Author(s) -

Saif Ur Rehman,

Muhammad Talha Waheed,

Naeem Jan,

Abdu Gumaei,

Mabrook AlRakhami

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/4764441

Subject(s) - mathematics , cone (formal languages) , contraction (grammar) , metric space , pure mathematics , fuzzy logic , contraction mapping , metric map , convex metric space , fixed point theorem , t norm , mathematical analysis , discrete mathematics , fuzzy number , fuzzy set , algorithm , computer science , artificial intelligence , medicine

In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” To ensure the existence of our results, we present some illustrative unique coupled fixed-point examples. Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.

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