Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces
Gunaseelan Mani,
Arul Joseph Gnanaprakasam,
Santosh Kumar,
Ozgur Ege,
Manuel De la Sen
Affiliations
Gunaseelan Mani
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
Arul Joseph Gnanaprakasam
Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram 603203, Tamil Nadu, India
Santosh Kumar
Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Dar es Salaam 35063, Tanzania
Ozgur Ege
Department of Mathematics, Ege University, Bornova, Izmir 35100, Turkey
Manuel De la Sen
Institute of Research and Development of Processes, Department of Electricity and Electronics, University of the Basque Country, 48940 Leioa, Spain
In this paper, we introduce the concept of fuzzy-controlled bipolar metric space and prove some fixed-point theorems in this space. Our results generalize and expand some of the literature’s well-known results. We also provide some applications of our main results to integral equations.
