Results 1 to 10 of about 683 (118)
Mathematics, 2022 In this work, we study some basic properties of the set of common attractive points and prove strong convergence results for common attractive points of two generalized nonexpansive mappings in a uniformly convex Banach space. As a consequence, we obtain
Chadarat Thongphaen +3 more
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Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces
Journal of Function SpacesWe apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on ε,p isometries of Hilbert spaces and Lq ...
Yuqi Sun
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Fixed point theorems in uniformly convex Banach spaces
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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The generalized projection methods in countably normed spaces
Journal of Inequalities and Applications, 2021 Let E be a Banach space with dual space E ∗ $E^{*}$ , and let K be a nonempty, closed, and convex subset of E. We generalize the concept of generalized projection operator “ Π K : E → K $\Pi _{K}: E \rightarrow K$ ” from uniformly convex uniformly smooth
Sarah Tawfeek +2 more
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Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
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El espacio cociente y algunas propiedades geométricas de los espacios de Banach
Revista de Matemática: Teoría y Aplicaciones, 2009 We state some geometric properties of Banach spaces, such as uniformly convex spaces, uniformly non-square spaces, local uniformly convex spaces, strictly convex spaces, etc., and we analyze the problem of translating such properties to the quotient ...
Jose R. Morales
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Convergence Theorems for an Iteration of Non-Lipschitzian Nonself Mappings in Banach Spaces
Nantong Daxue xuebao. Ziran kexue ban, 2021 In this study,a new iteration with errors for non-Lipschitzian nonself mappings in the uniformly convex Banach space is introduced.The convergence of such iteration is investigated and which proves that if the uniformly convex Banach space X satisfies ...
WU Li; YANG Hongli
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Journal of Inequalities and Applications, 2019 Let Y be a uniformly convex multi-Banach space which has not a Frechet differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y.
H. M. Kenari +2 more
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Fixed points and common points for fundamentally nonexpansive mappings on banach spaces [PDF]
Journal of Hyperstructures, 2015 In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact ...
Moohammad Moosaei
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Journal of Inequalities and Applications, 2021 In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl.
C. E. Chidume
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