FIXED POINT THEOREMS FOR A CLASS OF MAPPINGS OF CONTRACTIVE TYPE

Hammed A. Abass^†, Olawale K. Oyewole^‡, Simeon Reich^§

Abstract: We introduce the notion of α-ψ-R contractive mappings that act on a metric space. We establish the existence and uniqueness of fixed points for this class of mappings and provide a sequence of iterates which approximate their fixed points. Some examples are presented and the relationships with some previous results are described.

Keywords: binary relation, complete metric space, fixed point theorem, metric space.

MSC: 47H10, 54H25.

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DOI 10.56082/annalsarscimath.2026.1.31

^†hammed.abass@smu.ac.za, Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Science University, P.O. Box 94, Pretoria 0204, South Africa
^‡OyewoleOK@tut.ac.za, Department of Mathematics and Statistics, Tshwane University of Technology, Arcadia, PMB 0007, Pretoria, South Africa
^§sreich@technion.ac.il, Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 1, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997