SOME NEW EXTENSIONS OF EDELSTEIN-SUZUKI-TYPE FIXED POINT THEOREM TO G-METRIC AND G-CONE METRIC SPACES

doi:10.1016/S0252-9602(13)60062-4

Abstract

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.

Key words: G-metric spaces, G-cone metric spaces, fixed point, Edelstein´s theorem, Suzuki´s theorem

CLC Number:

47H10

Fridoun MORADLOU, Peyman SALIMI, Pasquale VETRO. SOME NEW EXTENSIONS OF EDELSTEIN-SUZUKI-TYPE FIXED POINT THEOREM TO G-METRIC AND G-CONE METRIC SPACES[J].Acta mathematica scientia,Series B, 2013, 33(4): 1049-1058.

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