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Fasciculi Mathematici
2010 Nr 43 101-114
EN In this paper, we examine the stability of Kirk-Ishikawa and Kirk-Mann iteration processes for nonexpansive and quasi-nonexpansive operators in uniformly convex Banach space. To the best of our knowledge, apart from the results of Olatinwo [19], stability of fixed point iteration processes has not b[...]
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Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
2010 Vol. 15 91--98
EN It is known that every locally defined operator acting between two Hölder spaces is a Nemytskii superposition operator. We show that if such an operator is bounded in the sense of the norm, then its generator is continuous.
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Demonstratio Mathematica
EN Let lp (1 < p
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Demonstratio Mathematica
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Demonstratio Mathematica
EN We prove an existence theorem for initial value problems in Banach spaces, including a wide class of row-finite systems of ordinary differential equations.
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Demonstratio Mathematica
2004 Vol. 37, nr 1 123--132
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Demonstratio Mathematica
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Demonstratio Mathematica
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Demonstratio Mathematica
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Demonstratio Mathematica
EN In this paper a Gregus type common fixed point theorem for coincidently commuting mappings is proved and utilized to obtain the iterative solution of certain variational inequalities.
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Demonstratio Mathematica
EN The notion of R-subweakly commuting multivalued mappings is defined. Some coincidence point theorems for such mappings are proved. Thus several related results in the literature are extended to a new class of noncommuting mappings.
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Demonstratio Mathematica
EN In this paper we establish a fixed point theorem for two systems of maps on finite product of Banach spaces by introducing co-ordinatewise R-weakly commuting maps. Our result includes fixed point theorem of Gregus [7], Fisher-Sessa [4], Jungck [9] and Singh et al. [21].
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Demonstratio Mathematica
EN Some coincidence point theorems for weakly inward multivalued f-contractions are proved. Thus several related results in the literature are either extended or improved.
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Demonstratio Mathematica
EN In this paper we study the existence of pseudosolutions of a nonlocal hyperbolic Darboux problem for the equation [...] with nonlocal boundary conditions u(x,0) + h1(x,u) = g1(x),u(0,y) + h2(y,u)=g2(y), on the bounded region. The functions considered have values in a Banach space and are weakly-wea[...]
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Demonstratio Mathematica
EN In this paper, we prove the stability results of a mean value type functional equation, namely f (x) - g{y) = (x - y)h(x 4- y) which arises from the mean value theorem.
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Demonstratio Mathematica
EN In this paper we present some properties of decomposable sets, which are analogous to known properties of convex sets. In particular, an analogy of the classical theorem of Kakutani is given.
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Demonstratio Mathematica
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Control and Cybernetics
EN In this paper, we first establish both primal (involving directional derivatives and tangent cones) and dual characterizations (involving subdifferential and normal cones) for the local (global) error bounds of constrained set-valued systems; as an application, we then derive both primal and dual ch[...]
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Bulletin of the Polish Academy of Sciences. Mathematics
EN A Banach space contains asymptotically isometric copies of l1 if and only if its dual space contains an isometric copy of L1.
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Bulletin of the Polish Academy of Sciences. Mathematics
EN Inspired by Pełczyński's decomposition method in Banach spaces, we introduce the notion of Schroeder-Bernstein quadruples for Banach spaces. Then we use some Banach spaces constructed by W. T. Gowers and B. Maurey in 1997 to characterize them.
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