Search Results - approximate implicit functions in a Banach space

Some remarks on smooth renormings of Banach spaces by Hájek, Petr, Russo, Tommaso

“…We prove that in every separable Banach space X with a Schauder basis and a Ck-smooth norm it is possible to approximate, uniformly on bounded sets, every equivalent norm with a Ck-smooth one in a way…”
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Controllability and Observability Results of an Implicit Type Fractional Order Delay Dynamical System by Ahmad, Irshad, Ahmad, Saeed, ur Rahman, Ghaus, Ahmad, Shabir, De la Sen, Manuel

“… Laplace and inverse Laplace transforms, along with the Mittage–Leffler matrix function, are applied to the proposed dynamical system…”
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Generalized iterative procedures and their applications to Banach space valued functions in abstract fractional calculus by Anastassiou, George A., Argyros, Ioannis K.

“…The objective in this study is to use generalized iterative procedures in order to approximate solutions of an equation on a Banach space setting…”
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A Matrix Mittag–Leffler Function and the Fractional Nonlinear Partial Integro-Differential Equation in ℝn by Li, Chenkuan, Beaudin, Joshua, Rahmoune, Azedine, Remili, Walid

“… that computes the approximate value of our matrix Mittag–Leffler function…”
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Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function by Li, Chenkuan, Saadati, Reza, Beaudin, Joshua, Hrytsenko, Andrii

“…Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness…”
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Some common fixed point results for three total asymptotically pseudocontractive mappings by Udo, M. O., Ofem, A. E., Oboyi, J., Chikwe, C. F., Ekoro, S. E., Adie, F. A.

“…In this article, we introduce a mixed-type implicit iterative scheme to approximate the common fixed points of finite families of three uniformly L-Lipschitzian total asymptotically pseudocontractive…”
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On the second order implicit difference schemes for a right hand side identification problem by Erdogan, A.S., Ashyralyev, A.

“…In many physical phenomena, especially in temperature over-specification partial differential equation with an unknown source function appears…”
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators by Lu, Lu, Jin, Pengzhan, Pang, Guofei, Zhang, Zhongqiang, Karniadakis, George Em

“… We design a new network with small generalization error, the deep operator network (DeepONet), which consists of a DNN for encoding the discrete input function space…”
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On the Uniqueness of the Bounded Solution for the Fractional Nonlinear Partial Integro-Differential Equation with Approximations by Li, Chenkuan, Saadati, Reza, Beaudin, Joshua, Hrytsenko, Andrii

“…–Leffler function as well as Banach’s contractive principle in a complete function space…”
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Perturbed Optimization in Banach Spaces I: A General Theory Based on a Weak Directional Constraint Qualification by Bonnans, J. Frédéric, Cominetti, Roberto

“…Using a directional form of constraint qualification weaker than Robinson's, we derive an implicit function theorem for inclusions and use it for first- and second-order sensitivity analyses…”
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Approximate controllability of second-order distributed implicit functional systems by Henriquez, Hernan R, Hernandez, Eduardo

“…In this paper we study the approximate controllability of control systems with states and controls in Hilbert spaces, and described by a second-order semilinear abstract functional differential…”
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Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis by Jourani, Abderrahim

“…Our aim is to present sufficient conditions ensuring Hoffman'serror bound for lower semicontinuous nonconvex inequality systems and to analyze its impact on the local controllability, implicit function theorem for (non-Lipschitz…”
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An Iterative Scheme for Solving Arbitrary-Order Nonlinear Volterra Integro-Differential Equations Involving Delay by Ghosh, Bappa, Mohapatra, Jugal

“… The composite trapezoidal rule is applied to approximate the integral involved in the equation, followed by discretizing the Caputo fractional derivative operator of arbitrary order α ∈ ( 0 , 1…”
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Approximate Solutions of Variational Inequalities on Sets of Common Fixed Points of a One-Parameter Semigroup of Nonexpansive Mappings by Ceng, L. C., Schaible, S., Yao, J. C.

“…Let be a one-parameter semigroup of nonexpansive mappings on a nonempty closed convex subset C of a strictly convex and reflexive Banach space X…”
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Linearization and Lemma of Newton for operator functions by Stiefenhofer, Matthias

“…We study the action of the nonlinear mapping G [ z ] between real or complex Banach spaces in the vicinity of a given curve with respect to possible…”
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Fractional-Order Integral and Derivative Operators and Their Applications by Srivastava, Hari Mohan

“…The present volume contains the invited, accepted and published submissions (see [...]…”
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Smooth norms in dense subspaces of ℓp(Γ) and operator ranges by Dantas, Sheldon, Hájek, Petr, Russo, Tommaso

“… ∞ -smooth norm which locally depends on finitely many coordinates. Moreover, such a norm can be chosen as to approximate the · p -norm…”
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Linearization and Lemma of Newton for Operator functions by Stiefenhofer, Matthias

“…We study the action of the nonlinear mapping G[z] between real or complex Banach spaces in the vicinity of a given curve with respect to possible linearization, emerging patterns of level sets, as well as existing solutions of G[z]=0…”
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A survey of subdifferential calculus with applications by Borwein, Jonathan M., Zhu, Qiji J.

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Linearization and Lemma of Newton for operator functions: Linearization and Lemma of Newton by Stiefenhofer, Matthias

“…We study the action of the nonlinear mapping G [ z ] between real or complex Banach spaces in the vicinity of a given curve with respect to possible…”
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