On New Fixed Point Results in Eb-Metric Spaces

P. Sumati Kumari, C. Boateng Ampadu, Jamnian Nantadilok

Abstract

In this paper, we introduce the concepts of an extended cyclic Banach contraction and an extended cyclic orbital F-expanding contraction. Thereby, we prove pertinent fixed point theorems in an extended b-metric space (simply Ebmetric space). Moreover, we present the characterization of the Hardy and Rogers mapping theorem for (a pair of) non-self maps, which gives a positive answer to the question raised by C. Boateng Ampadu [12] (Fixed Point Theory, 19(2018), No. 2, 449-452 DOI: 10.24193/fpt-ro.2018.2.35).