On unique Fixed-Point Theorems via Interpolative and Rational Contractions in Super Metric Spaces
Rahul Gourh *
Department of Mathematics, Govt. LBS College Sironj, Madhya Pradesh, 464228, India.
Manoj Ughade
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, 462016, India.
Manoj Kumar Shukla
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, 462016, India.
*Author to whom correspondence should be addressed.
Abstract
In the present research paper, Kannan, Reich, and Dass-Gupta-type contractions are defined and discussed in the framework of super metric space. Further, some fixed-point results are proved using the notion of interpolation.
Keywords: Fixed point, iterative methods, interpolative contraction, rational contraction, super metric space