Fixed Points of E-Contraction in Controlled Metric Spaces
Shiva Verma
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, India.
Manoj Ughade *
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, India.
Manoj Kumar Shukla
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, India.
*Author to whom correspondence should be addressed.
Abstract
The goal of this study is to prove a fixed-point theorem for E-contraction in a completely controlled metric space. Many previous findings in the literature are extended/ generalized by our findings. We also present examples that demonstrate the utility of these findings.
Keywords: Fixed point theory, E-contraction, controlled metric space