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Fixed Point Theorems for α − (δ , 1 − δ ) Non-Expansive Mappings |
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PP: 61-64 |
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Author(s) |
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Clement Boateng Ampadu,
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Abstract |
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| Let α = (α1,α2,··· ,αn) be a multi-index satisfying αi ≥ 0, i = 1,2,··· ,n and ∑ni=1 αi = 1. Now let C be a nonempty closed andconvexsubsetofaBanachspaceX.AmappingT :C→Cissaidtobeα−(δ,1−δ)nonexpansive,respectivelyif
nii1 ∑αi∥T x−T y∥≤ 2 ∥x−y∥+∥y−Tx∥ ,
i=1
for all x, y ∈ C. In the present paper we prove some fixed point theorems of α − (δ , 1 − δ ) nonexpansive mappings inspired by the work contained in [Chakkrid Klin-eam and Suthep Suantai, Fixed point theorems for α-nonexpansive mappings, Applied Mathematics Letters 23(2010) 728-731] |
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