On new common fixed point theorems via bipolar fuzzy -metric space with their applications.

Journal: PloS one
Published Date:

Abstract

This research work is devoted to investigating new common fixed point theorems on bipolar fuzzy -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.

Authors

  • J Uma Maheswari
    PG and Research Department of Mathematics, St. Joseph's College, Affiliated to Bharathidasan University, Trichy, Tamil Nadu, India.
  • K Dillibabu
    Department of Mathematics, Sir Theagaraya College, Chennai, Tamil Nadu, India.
  • Gunaseelan Mani
    Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, India.
  • Sabri T M Thabet
    Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, India.
  • Imed Kedim
    Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia.
  • Miguel Vivas-Cortez
    Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Sede Quito, Ecuador.