Saravanan Karpagam†
Abstract: We introduce a new contraction map called p-cyclic Boyd-Wong contraction, de ned on the union of p (p 2) non empty subsets of a metric space. We give su cient conditions for the existence of a unique fixed point, best proximity point or periodic point for the map and an iterative method is used to approximate the xed point and the best proximate point.
MSC: 46H10
keywords: p-cyclic maps, p-cyclic contractions, p-cyclic non expansive maps, best proximity points.
DOI 10.56082/annalsarscimath.2021.1-2.111
†karpagam.saravanan@gmail.com Department of Science and Humanities, Saveetha Institute of Medical and Technical Sciences, Chennai 602 105, India
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 13 no 1-2, 2021
