Search results for "G-cone metric space"

showing 2 items of 2 documents

Edelstein-Suzuki-type resuls for self-mappings in various abstract spaces with application to functional equations

2016

Abstract The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.

G-metric spaceG-cone metric spaceBasis (linear algebra)General Mathematics010102 general mathematicsquasi-metric spaceGeneral Physics and AstronomyFixed-point theoremFixed pointType (model theory)Edelstein’s theorem01 natural sciences010101 applied mathematicsAlgebraCompact spacefixed pointSettore MAT/05 - Analisi MatematicaBounded functionCompleteness (order theory)Functional equation0101 mathematicsSuzuki’s theorem.Mathematics
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Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces

2013

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.

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 theoremMathematicsActa Mathematica Scientia
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