Some New Coupled Fixed-Point Findings Depending on Another Function in Fuzzy Cone Metric Spaces with Application | Zendy

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

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Some New Coupled Fixed-Point Findings Depending on Another Function in Fuzzy Cone Metric Spaces with Application

Author(s) -

Muhammad Talha Waheed,

Saif Ur Rehman,

Naeem Jan,

Abdu Gumaei,

Mabrook AlRakhami

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/4144966

Subject(s) - mathematics , cone (formal languages) , metric space , fixed point theorem , function (biology) , fuzzy logic , pure mathematics , fixed point , metric (unit) , type (biology) , metric map , mathematical analysis , point (geometry) , discrete mathematics , convex metric space , computer science , algorithm , geometry , artificial intelligence , economics , ecology , operations management , evolutionary biology , biology

In this paper, we introduce the new concept of coupled fixed-point (FP) results depending on another function in fuzzy cone metric spaces (FCM-spaces) and prove some unique coupled FP theorems under the modified contractive type conditions by using “the triangular property of fuzzy cone metric.” Another function is self-mapping continuous, one-one, and subsequently convergent in FCM-spaces. In support of our results, we present illustrative examples. Moreover, as an application, we ensure the existence of a common solution of the two Volterra integral equations to uplift our work.

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