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1
Content available Approximating fixed points of a countable family of strict pseudocontractions in Banach spaces
Cholamjiak P.
Opuscula Mathematica
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2014
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Vol. 34, no. 1
67--79
EN
We prove the strong convergence of the modified Mann-type iterative scheme for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces. Our results mainly improve and extend the results announced in [Y. Yao, H. Zhou, Y.-C. Liou, Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings, J. Appl. Math. Comput. 29 (2009), 383–389].
2
Content available remote Direct estimate for some operators of Durrmeyer type in exponential weighted space
Krech G., Wachnicki E.
Demonstratio Mathematica
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2014
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Vol. 47, nr 2
336--349
EN
In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.
3
Content available remote Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings
Temir S.
Demonstratio Mathematica
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2013
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Vol. 46, nr 4
781--793
EN
The purpose of this paper is to introduce an implicit iterative process with errors for approximating common fixed point of two finite families of asymptotically nonexpansive mappings in the framework of Banach space. The results presented in this paper extend and generalize the corresponding results of Qin et al. [Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings, Appl. Math. Comp. 210 (2009), 542–550], Thakur [Weak and strong convergence of composite implicititeration process, Appl. Math. Comp. 190 (2007), 965–973] and some others.
4
Content available remote Convergence of implicit iterative process for a finite family of I-nonexpansive mappings
Temir S., Aykanat G.
Demonstratio Mathematica
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2009
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Vol. 42, nr 1
175-184
EN
We prove that an implicit iterative process conyerges weakly and strongly to a common fixed point of a finite family of I-nonexpansive mappings in a Banach space. The results presented in this paper extend and improve the corresponding results of [1, 3, 11, 12]
5
Content available remote A convergence theorem for some mean value fixed point iteration procedures
Berinde V.
Demonstratio Mathematica
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2005
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Vol. 38, nr 1
177--184
EN
A general convergence theorem for the Ishikawa fixed point iteration procedure in a large class of quasi-contractive type operators is given. As particular cases, it contains convergence theorems for Picard, Krasnoselskij and Mann iterations, theorems which extend and generalize several results in the literature.
6
Content available remote A dynamic asymptotic model of linear elastic orthotropic plates: first and second-order terms
Sławianowska A., Telega J. J.
Archives of Mechanics
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2001
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Vol. 53, nr 4-5
541-564
EN
By using the asymptotic method combined with variational approach a new dynamic model of elastic orthotropic plates is derived. This model accounts for rotational inertia and takes into account second order terms ... and ... in the asymptotic expansions of displacements and stresses. To avoid the boundary layer analysis, the boundary conditions for ... are satisfied in a suitable averaged sense. Convergence theorem is formulated. Influence of the second-order terms on plate response in the static case is investigated.
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