More on reverse triangle inequality in inner product spaces.
Ansari, A.H., Moslehian, M.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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Ansari, A.H., Moslehian, M.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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Agarwal, Ravi P., Verma, Ram U. (2009)
Fixed Point Theory and Applications [electronic only]
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Norbert Schneider (1983)
Aplikace matematiky
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First, a result of J. W. Schmidt about the monotone enclosure of solutions of nonlinear equations is generalized. Then an iteration method is considered, which is more effective than other known methods. For this method, monotone enclosure statements are also proved.
Ansari, Arsalan Hojjat, Moslehian, Mohammad Sal (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Ioannis Argyros, Hongmin Ren (2008)
Open Mathematics
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We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide...
J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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