On new common fixed point theorems via bipolar fuzzy [Formula: see text]-metric space with their applications

PLoS One. 2024 Jun 25;19(6):e0305316. doi: 10.1371/journal.pone.0305316. eCollection 2024.

Abstract

This research work is devoted to investigating new common fixed point theorems on bipolar fuzzy [Formula: see text]-metric space. Our main findings generalize some of the existence outcomes in the literature. Furthermore, we illustrate our findings by providing some applications for fractional differential and integral equations.

MeSH terms

  • Algorithms
  • Fuzzy Logic*
  • Models, Theoretical

Grants and funding

This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2024/R/1445), [to I.K.]. The first author thanks DST- FIST government of India for funding towards infrastructure facilities St. Joseph’s College (Autonomous), Tiruchirappalli- 620 002. Pontificia Universidad Cat\’olica del Ecuador, Proyecto T\’itulo: “Algunos resultados Cualitativos sobre Ecuaciones diferenciales fraccionales y desigualdades integrales” Cod UIO2022, [to M.V-C.]. The specific roles of this author are articulated in the ‘author contributions’ section. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.