Common Fixed Points of Dass-Gupta Rational Contraction and E-Contraction
Deepak Singh *
Department of Mathematics, Swami Vivekanand University, Sagar-470001, Madhya Pradesh, India.
Manoj Ughade
Department of Mathematics, Institute for Excellence in Higher Education (IEHE), Bhopal-462016, Madhya Pradesh, India.
Sheetal Yadav
Department of Mathematics, Mata Gujri Mahila Mahavidhyala (Auto), Jabalpur-482001, Madhya Pradesh, India.
Alok Kumar
Department of Mathematics, Swami Vivekanand University, Sagar-470001, Madhya Pradesh, India.
Manoj Kumar Shukla
Department of Mathematics, Institute for Excellence in Higher Education (IEHE), Bhopal-462016, Madhya Pradesh, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we establish some common fixed-point theorems in supermetric space for Dass-Gupta Rational Contraction, E-contraction, generalized E-contraction and rational Dass-Gupta E-contraction. Additionally, these theorems expand and generalize several intriguing findings from metric fixed-point theory to the supermetric setting. Furthermore, an example is provided to support our results.
Keywords: fixed point, E-contraction, rational contraction, supermetric space