An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems | Zendy

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

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An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems

Author(s) -

Muhammad Talha Waheed,

Saif Ur Rehman,

Naeem Jan,

Abdu Gumaei,

Mabrook AlRakhami

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/8766367

Subject(s) - mathematics , cone (formal languages) , fixed point theorem , metric space , fuzzy logic , type (biology) , pure mathematics , fixed point , discrete mathematics , lebesgue integration , mathematical analysis , computer science , algorithm , artificial intelligence , ecology , biology

In the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems (FP-theorems) in fuzzy cone metric spaces (FCM-spaces) by using “the triangular property of fuzzy cone metric” and present illustrative examples to support our main work. In addition, we present a Lebesgue integral type mapping application to get the existence result of a unique coupled FP in FCM-spaces to validate our work.

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