Results 11 to 20 of about 52 (52)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2487-2499, 2003., 2003 Recently, Tautenhahn and Hämarik (1999) have considered a monotone rule as a parameter choice strategy for choosing the regularization parameter while considering approximate solution of an ill‐posed operator equation Tx = y, where T is a bounded linear operator between Hilbert spaces.
Santhosh George, M. Thamban Nair
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An iterative approach to a constrained least squares problem
Abstract and Applied Analysis, Volume 2003, Issue 8, Page 503-512, 2003., 2003 A constrained least squares problem in a Hilbert space H is considered. The standard Tikhonov regularization method is used. In the case where the set of the constraints is the nonempty intersection of a finite collection of closed convex subsets of H, an iterative algorithm is designed.
Simeon Reich, Hong-Kun Xu
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Stable Approximations of a Minimal Surface Problem with Variational Inequalities
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 137-161, 1997., 1997 In this paper we develop a new approach for the stable approximation of a minimal surface problem associated with a relaxed Dirichlet problem in the space BV(Ω) of functions of bounded variation. The problem can be reformulated as an unconstrained minimization problem of a functional 𝒥 on BV(Ω) defined by 𝒥(u) = 𝒜(u) + ∫∂Ω|Tu − Φ|, where 𝒜(u) is the ...
M. Zuhair Nashed, Otmar Scherzer
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Stable discretization methods with external approximation schemes
International Journal of Stochastic Analysis, Volume 8, Issue 4, Page 405-413, 1995., 1995 We investigate the external approximation‐solvability of nonlinear equations‐ an upgrade of the external approximation scheme of Schumann and Zeidler [3] in the context of the difference method for quasilinear elliptic differential equations.
Ram U. Verma
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On iterative solution of nonlinear functional equations in a metric space
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 161-170, 1983., 1983 Given that A and P as nonlinear onto and into self‐mappings of a complete metric space R, we offer here a constructive proof of the existence of the unique solution of the operator equation Au = Pu, where u ∈ R, by considering the iterative sequence Aun+1 = Pun (u0 prechosen, n = 0, 1, 2, …).
Rabindranath Sen, Sulekha Mukherjee
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Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 553-563, 1981., 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton′s method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
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Demonstratio Mathematica, 2018 The purpose of this paper is to study a split generalized mixed equilibrium problem and a fixed point problem for nonspreading mappings in real Hilbert spaces.We introduce a new iterative algorithm and prove its strong convergence for approximating a ...
Jolaoso Lateef Olakunle +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian +3 more
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Demonstratio MathematicaFractional derivatives are widely used in various fields to model the historical dependence or spatial globalization of the solutions because of their nonlocal properties.
Chen Xu +3 more
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Demonstratio MathematicaIn this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces.
Ngwepe Matlhatsi Dorah +3 more
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