Control Fuzzy Metric Spaces via Orthogonality with an Application | Zendy

Fahim Ud Din | Zendy; Khalil Javed | Zendy; Hassen Aydi | Zendy; Umar Ishtiaq | Zendy; Muhammad Arshad | Zendy

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Control Fuzzy Metric Spaces via Orthogonality with an Application

Author(s) -

Fahim Ud Din,

Khalil Javed,

Hassen Aydi,

Umar Ishtiaq,

Muhammad Arshad

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 - 10.1155/2021/5551833

Subject(s) - mathematics , orthogonality , metric (unit) , fuzzy logic , metric space , product metric , fuzzy measure theory , algebra over a field , point (geometry) , t norm , fuzzy number , pure mathematics , discrete mathematics , fuzzy set , artificial intelligence , computer science , geometry , operations management , economics

In this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An application to fuzzy integral equations is also included. Our results generalize and improve several developments from the existing literature.

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