A common fixed point theorem for compatible mappings on a normed vector space.
Pathak, H.K., Fisher, Brian (1996)
Archivum Mathematicum
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Pathak, H.K., Fisher, Brian (1996)
Archivum Mathematicum
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Singh, Vinai K., Kumar, Santosh (2009)
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Journal of Applied Mathematics and Stochastic Analysis
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Ioan Goleţ (2007)
Mathematica Slovaca
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H. K. Pathak, Brian Fisher (1997)
Archivum Mathematicum
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A common fixed theorem is proved for two pairs of compatible mappings on a normed vector space.
Sever Silvestru Dragomir (1990)
Extracta Mathematicae
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C.-S. Lin (2005)
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We first introduce a notion of (a,b,c,d)-orthogonality in a normed linear space, which is a natural generalization of the classical isosceles and Pythagorean orthogonalities, and well known α- and (α,β)-orthogonalities. Then we characterize inner product spaces in several ways, among others, in terms of one orthogonality implying another orthogonality.