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dc.contributor.authorOlaleru, J.O-
dc.contributor.authorAkewe, H-
dc.identifier.citationFixed Point Theory and Applications, 2007 (78628), 1-8en_US
dc.description.abstractLet C be a closed convex subset of a complete metrizable topological vector space (X,d) and T :C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ ed(y,Tx)+ fd(x,Ty) for all x,y∈C, where 0<a<1, b≥0, c≥0, e≥0, f ≥0, and a+b+c+e+ f = 1. Then T has a unique fixed point. The above theorem, which is a generalization and an extension of the results of several authors, is proved in this paper. In addition, we use the Mann iteration to approximate the fixed point of T.en_US
dc.publisherHindawi Publishing Corporationen_US
dc.subjectBanach spacesen_US
dc.subjectFixed point theoremsen_US
dc.titleAn Extension of Gregus Fixed Point Theoremen_US
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