Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1+T2: K→K is a continuous and strongly pseudocontractive mapping, where T1:K→K is Lipschitz and T2:K→K has the bounded range mapping.
Xue Zhiqun
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Viscosity Methods of Asymptotically Pseudocontractive and Asymptotically Nonexpansive Mappings for Variational Inequalities [PDF]
Abstract and Applied Analysis, 2012 Let {𝑡𝑛}⊂(0,1) be such that 𝑡𝑛→1 as 𝑛→∞, let 𝛼 and 𝛽 be two positive numbers such that 𝛼+𝛽=1, and let 𝑓 be a contraction. If 𝑇 be a continuous asymptotically pseudocontractive self-mapping of a nonempty bounded closed convex subset 𝐾 of a real reflexive ...
Xionghua Wu +3 more
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The Equivalence of Convergence Results of Modified Mann and Ishikawa Iterations with Errors without Bounded Range Assumption [PDF]
Abstract and Applied Analysis, 2012 Let E be an arbitrary uniformly smooth real Banach space, let D be a nonempty closed convex subset of E, and let T:D→D be a uniformly generalized Lipschitz generalized asymptotically Φ-strongly pseudocontractive mapping with q∈F(T)≠∅. Let {an},{bn},{cn},{
Zhiqun Xue, Yaning Wang, Haiyun Zhou
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A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces [PDF]
Applied General TopologyLet E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and Φ Γ -enriched Lipschitzian mapping respectively.
Imo Kalu Agwu +2 more
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An Iterative Algorithm on Approximating Fixed Points of Pseudocontractive Mappings [PDF]
Journal of Applied Mathematics, 2012 Let E be a real reflexive Banach space with a uniformly Gâteaux differentiable norm. Let K be a nonempty bounded closed convex subset of E, and every nonempty closed convex bounded subset of K has the fixed point property for non-expansive self-mappings.
Youli Yu
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Homeomorphism Mapping Based Neural Networks for Finite Time Constraint Control of a Class of Nonaffine Pure-Feedback Nonlinear Systems [PDF]
Complexity, 2019 This paper proposes a new scheme for solving finite time neural networks adaptive tracking control issue for the nonaffine pure-feedback nonlinear system.
Jianhua Zhang +3 more
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Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces [PDF]
Fixed Point Theory and Applications, 2011 Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T : K → KC(K) is a multivalued ...
Laowang Worawut, Panyanak Bancha
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Iterative Algorithms with Variable Coefficients for Multivalued Generalized
Fixed Point Theory and Applications, 2011 We introduce and study some new Ishikawa-type iterative algorithms with variable coefficients for multivalued generalized -hemicontractive mappings.
Ge Ci-Shui
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Uniformly bounded set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener [PDF]
, 2015 We show that the one-sided regularizations of the generator of any uniformly bounded set-valued Nemytskij composition operator mapping the space of bounded variation functions in the sense of Wiener into the space of bounded variation functions with ...
Matkowski, J. +3 more
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An explicit Berry-Esséen bound for uniformly expanding maps on the interval [PDF]
Israel Journal of Mathematics, 2011 For uniformly expanding maps on the interval, analogous versions of the Berry-Esséen theorem are known but only with an unexplicit upper bound in $O(1/\sqrt{n})$ without any constants being specified. In this paper, we use the recent complex cone technique to prove an explicit Berry-Esséen estimate with a reasonable constant for these maps.
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