Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations | Zendy

Iqra Shamas | Zendy; Saif Ur Rehman | Zendy; Hassen Aydi | Zendy; Tayyab Mahmood | Zendy; Eskandar Ameer | Zendy

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Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations

Author(s) -

Iqra Shamas,

Saif Ur Rehman,

Hassen Aydi,

Tayyab Mahmood,

Eskandar Ameer

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/4429173

Subject(s) - mathematics , fredholm integral equation , fuzzy logic , metric (unit) , fredholm theory , integral equation , metric space , point (geometry) , property (philosophy) , fixed point , mathematical analysis , type (biology) , pure mathematics , computer science , geometry , artificial intelligence , philosophy , operations management , epistemology , economics , ecology , biology

This paper aims at proving some unique fixed-point results for different contractive-type self-mappings in fuzzy metric spaces by using the “triangular property of the fuzzy metric”. Some illustrative examples are presented to support our results. Moreover, we present an application by resolving a particular case of a Fredholm integral equation of the second kind.

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