On -quasiclass operators.
Gao, Fugen, Fang, Xiaochun (2009)
Journal of Inequalities and Applications [electronic only]
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Gao, Fugen, Fang, Xiaochun (2009)
Journal of Inequalities and Applications [electronic only]
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Ioannis K. Argyros, Said Hilout (2010)
Czechoslovak Mathematical Journal
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We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier...
Cycon, Hans L. (1982)
International Journal of Mathematics and Mathematical Sciences
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Arora, S.C., Thukral, J.K. (1991)
International Journal of Mathematics and Mathematical Sciences
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Çakan, Celal, Çoşkun, Hüsamettin (2005)
International Journal of Mathematics and Mathematical Sciences
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Petr Hájek (1996)
Commentationes Mathematicae Universitatis Carolinae
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We prove that a Banach space admitting an equivalent WUR norm is an Asplund space. Some related dual renormings are also presented.
Hans-Gerd Leopold (1999)
Czechoslovak Mathematical Journal
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The paper deals with embeddings of function spaces of variable order of differentiation in function spaces of variable order of integration. Here the function spaces of variable order of differentiation are defined by means of pseudodifferential operators.