Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces [PDF]
Fixed Point Theory and Applications, 2011 We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo-contractive mappings which is the solution of the variational ...
Tian Ming, Di Lanyun
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Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces [PDF]
Fixed Point Theory and Applications, 2011 We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another ...
Chen Rudong, Wang Yaqin
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Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces [PDF]
Fixed Point Theory and Applications, 2011 In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied.
Cho Yeol, Petrot Narin, Agarwal Ravi
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Fixed Point Theory and Applications, 2011 In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a ...
Saewan Siwaporn, Kumam Poom
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Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space [PDF]
, 2011 Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied.
Jia-wei Chen, Zhongping Wan, Yeol Je Cho
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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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Local Convergence and Radius of Convergence for Modified Newton Method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
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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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Matkowski theorems in the context of quasi-metric spaces and consequences on G-metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces.
Karapιnar Erdal +2 more
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