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A GENERAL FIXED POINT THEOREM FOR MAPPINGS IN ORBITALLY COM-PLETE S – METRIC SPACES


VALERIU POPA 1, ALINA-MIHAELA PATRICIU 2
1. “Vasile Alecsandri” University of Bacău 157 Calea Mărășești, Bacău 600115, ROMANIA, e-mail: vpopa@ub.ro
2. “Dunărea de Jos" University of Galați Faculty of Sciences and Environment, Department of Mathematics and Computer Science, 111 Domnească Street, Galați, 800201, ROMANIA, e-mail: Alina.Patriciu@ugal.ro

Issue:

SSRSMI, Number 1, Volume XXXIII

Section:

Volume 33, Number 1

Abstract:

The purpose of this paper is to extend Theorem 5 [18] to a S - metric space, without orbit-ally continuity, generalizing Theorem 4 [2], Theorems 1-4, 6-8 [11], Corollary 2.19 and 2.21 [23], Theorems 23, 24 [20], Theorems 3.2-3.4 [21] and to obtaining a Ćirić-Jotić-type result in S - metric spaces.

Keywords:

fixed point, S - metric space, Ćirić-Jotić-type, orbitally complete, implicit relation.

Code [ID]:

SSRSMI202301V33S01A0008 [0005614]

Note:

DOI:

Full paper:

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