Browsing by Author "Vinai, K. Singh"

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    (alpha, beta) -Lp 2 -norm orthogonality and characterizations of 2 - inner product spaces,
    (Eudoxus Press, LLC of TN, 2008) Vinai, K. Singh; Kumar, Santosh; Singh, A. K.
    In the present paper we have characterised (alpha, beta, )−Lp orthogonality in a 2- normed linear space. In some way the results proved in this paper generalize some of the similar characterization of generalized Lp- orthogonality derived earlier by Zheng Liu[8].
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    Iteration process with errors for local strongly Haccretive type mappings
    (Casa Cărţii de Ştiinţă Cluj- Napoca(House of the Book of Science Cluj- Napoca)Eroilor street 6-8, 400129 Cluj- Napoca ROMANIA, 2008) Vinai, K. Singh; Kumar, Santosh
    Some iteration processes of Mann and Ishikawa type with error has been discussed to approximate solution of equation Tx = f, where T is locally strongly H - accretive mapping [1 8] on uniformly smooth Banach space X. This extends an earlier result of Liu [9]on iterative processes with errors. We also extend a result of Weng [20] on iterative processes of dissipative type mappings.
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    Mapping Phi-p in normed linear spaces and characterization of orthogonality problem of best approximation in 2-norm
    (Lucian Blaga" Univer sity Of Sibiu - Faculty Of Science -Department Of Mathematics, 2009) Vinai, K. Singh; Kumar, Santosh
    In order to characterizations of best approximations have been given in 2-norm space (X, || .,|| ). Some generalization of the function phi-p of Dragomir type have been given in the context where the said generalization help to formulate the characterizations what have been proposed in this article.