Results 31 to 40 of about 483 (83)
On the Convergence of Adaptive Iterative Linearized Galerkin Methods [PDF]
, 2019 A wide variety of different (fixed-point) iterative methods for the solution of nonlinear equations exists. In this work we will revisit a unified iteration scheme in Hilbert spaces from our previous work that covers some prominent procedures (including ...
Heid, Pascal, Wihler, Thomas P.
core +2 more sources
Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings
, 2014 The asymptotically nonexpansive mappings have been introduced by Goebel and Kirkin 1972. Since then, a large number of authors have studied the weak and strongconvergence problems of the iterative algorithms for such a class of mappings.It is well known ...
Yonghong Yao, M. Postolache, S. Kang
semanticscholar +1 more source
Arab Journal of Mathematical Sciences, 2014 In this paper, we introduce and study an implicit iterative method to approximate a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup in real Hilbert spaces. Further, we prove that the nets generated by the
K.R. Kazmi, S.H. Rizvi
doaj +1 more source
, 2011 In this paper, we show the hierarchical convergence of the following implicit double-net algorithm: xs,t=s[tf(xs,t)+(1-t)(xs,t-μAxs,t)]+(1-s)1λs∫0λsT(v)xs,tdν,∀s,t∈(0,1), where f is a ρ-contraction on a real Hilbert space H, A : H → H is an α-inverse ...
Yonghong Yao, Y. Je Cho, Y. Liou
semanticscholar +1 more source
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
doaj +1 more source
Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction
, 2014 In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
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An explicit Euler scheme with strong rate of convergence for financial SDEs with non-Lipschitz coefficients [PDF]
, 2016 We consider the approximation of stochastic differential equations (SDEs) with non-Lipschitz drift or diffusion coefficients. We present a modified explicit Euler-Maruyama discretisation scheme that allows us to prove strong convergence, with a rate ...
Chassagneux, Jean-Francois +2 more
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On the viscosity rule for common fixed points of two nonexpansive mappings in Hilbert spaces
, 2017 In this paper, we introduce, for the first time, the viscosity rules for common fixed points of two nonexpansive mappings in Hilbert spaces. The strong convergence of this technique is proved under certain assumptions imposed on the sequence of ...
S. Naqvi, Muhammad Saqib Khan
semanticscholar +1 more source
An algorithm for a common fixed point of a family of pseudocontractive mappings
, 2013 We introduce an iterative process which converges strongly to a common fixed point of a family of Lipschitzian pseudocontractive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear ...
H. Zegeye, N. Shahzad
semanticscholar +1 more source
, 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 ...
S. Saewan, Poom Kumam
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