Viscosity approximation methods for nonexpansive nonself-mappings |
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Authors: | Yisheng Song Rudong Chen |
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Institution: | Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, PR China |
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Abstract: | Let E a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, and K be a closed convex subset of E which is also a sunny nonexpansive retract of E, and be nonexpansive mappings satisfying the weakly inward condition and F(T)≠∅, and be a fixed contractive mapping. The implicit iterative sequence {xt} is defined by for t∈(0,1)xt=P(tf(xt)+(1−t)Txt). |
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Keywords: | Nonexpansive nonself-mappings Viscosity approximation Fixed point Weakly sequentially continuous duality mapping |
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