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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Displaying similar documents to “A viability result for a first-order differential inclusion.”
More on reverse triangle inequality in inner product spaces.
Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations
Shou-qiang Du, Yan Gao (2011)
Applications of Mathematics
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In this paper, we discuss the globalization of some kind of modified Levenberg-Marquardt methods for nonsmooth equations and their applications to nonlinear complementarity problems. In these modified Levenberg-Marquardt methods, only an approximate solution of a linear system at each iteration is required. Under some mild assumptions, the global convergence is shown. Finally, numerical results show that the present methods are promising.
Refinements of reverse triangle inequalities in inner product spaces.
Ansari, Arsalan Hojjat, Moslehian, Mohammad Sal (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On the existence of monotone solutions for second-order non-convex differential inclusions in infinite dimensional spaces.
Ibrahim, A.G., Alkulaibi, K.S. (2004)
Portugaliae Mathematica. Nova Série
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Garding's inequality for elliptic differential operator with infinite number of variables.
Zabel, Ahmed, Alghamdi, Maryam (2011)
International Journal of Mathematics and Mathematical Sciences
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Super-relaxed -proximal point algorithms, relaxed -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.
Agarwal, Ravi P., Verma, Ram U. (2009)
Fixed Point Theory and Applications [electronic only]
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On the order of convergence of Broyden-Gay-Schnabel's method
J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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On a quadratically convergent method using divided differences of order one under the gamma condition
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...