Results 21 to 30 of about 3,848 (206)
The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
Journal of Mathematics, 2020 The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators.
M. O. Aibinu, S. C. Thakur, S. Moyo
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On extremal nonexpansive mappings
Zeitschrift für Analysis und ihre AnwendungenWe study the extremality of nonexpansive mappings on a non-empty bounded, closed, and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon–Nikodym property and all
Christian Bargetz +2 more
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A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces
Journal of Inequalities and Applications, 2010 We introduce a new composite iterative scheme by the viscosity approximation method for nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point ...
Jong Soo Jung
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Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings [PDF]
Mathematica Moravica, 2016 In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned ...
Saluja G.S.
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About Some Families of Nonexpansive Mappings with respect to Renorming [PDF]
Journal of Function Spaces, 2016 We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent norms.
Juan Rafael Acosta-Portilla +2 more
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Convergence of Infinite Products of Uniformly Locally Nonexpansive Mappings
MathematicsThe generic convergence of infinite products of nonexpansive mappings was established in a 1999 paper of ours. In the present paper, such results are extended to infinite products of uniformly locally nonexpansive mappings. In particular, the convergence
Simeon Reich, Alexander J. Zaslavski
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The Fixed Point Theory for Some Generalized Nonexpansive Mappings [PDF]
Abstract and Applied Analysis, 2011 We study some aspects of the fixed point theory for a class of generalized nonexpansive mappings, which among others contain the class of generalized nonexpansive mappings recently defined by Suzuki in 2008.
Enrique Llorens Fuster +1 more
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Subinvariant Metric Functionals for Nonexpansive Mappings [PDF]
Numerical Functional Analysis and OptimizationWe investigate the existence of subinvariant metric functionals for commuting families of nonexpansive mappings in noncompact subsets of Banach spaces. Our findings underscore the practicality of metric functionals when searching for fixed points of nonexpansive mappings.
Gutiérrez, Armando W. +1 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 We consider the class of enriched generalized nonexpansive mappings which includes enriched Kannan mappings, nonexpansive enriched Chatterjea mappings and enriched mappings.
E. Simsek, I. Yildirim
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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