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Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces

Pasquale VetroPeyman SalimiFridoun Moradlou

subject

Suzuki's theoremDiscrete mathematicsG-metric spaceG-cone metric spaceGeneral MathematicsInjective metric spaceGeneral Physics and AstronomyFixed-point theoremFixed-point propertyConvex metric spaceMetric spacefixed pointSettore MAT/05 - Analisi MatematicaFréchet spaceKakutani fixed-point theoremBrouwer fixed-point theoremEdelstein's theoremMathematics

description

Abstract In this paper, we prove some fixed point theorems for generalized contractions in the setting of G -metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317]. We prove, also, a fixed point theorem in the setting of G -cone metric spaces.

yearjournalcountryeditionlanguage
2013-07-01Acta Mathematica Scientia
https://doi.org/10.1016/s0252-9602(13)60062-4