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

Muhammad Talha Waheed, Saif Ur Rehman, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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.

Original languageEnglish
Article number4144966
JournalMathematical Problems in Engineering
Volume2021
DOIs
StatePublished - 2021
Externally publishedYes

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