Fixed Point Results for Rational Type Contraction in A-Metric Spaces
Babita Pandey *
Department of Engineering Mathematics and Research Center, Sarvepalli Radhakrishanan University, Bhopal 462026, India.
Manoj Ughade
Department of Post Graduate Studies and Research in Mathematics, Jaywanti Haksar Government Post Graduate College, College of Chhindawara University Betul, 460001, India.
Amit Kumar Pandey
Department of Engineering Mathematics and Research Center, Sarvepalli Radhakrishanan University, Bhopal 462026, India.
*Author to whom correspondence should be addressed.
Abstract
The goal of this paper is to define rational contraction in the context of A-metric spaces and to develop various fixed-point theorems in order to elaborate, generalize, and synthesize several previously published results. Finally, to illustrate the new theorem, an example is given.
Keywords: A-metric space, rational contraction, fixed point.