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

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

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.

Suggested Citation

  • Muhammad Talha Waheed & Saif Ur Rehman & Naeem Jan & Abdu Gumaei & Mabrook Al-Rakhami, 2021. "Some New Coupled Fixed-Point Findings Depending on Another Function in Fuzzy Cone Metric Spaces with Application," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-21, July.
    • Handle: RePEc:hin:jnlmpe:4144966
    DOI: 10.1155/2021/4144966
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