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 and Mabrook Al-Rakhami

Mathematical Problems in Engineering, 2021, vol. 2021, 1-21

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4144966

DOI: 10.1155/2021/4144966

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