Results 11 to 20 of about 9,111 (245)
On a Class of Generalized Nonexpansive Mappings [PDF]
Mathematics, 2020 In our recent work we have introduced and studied a notion of a generalized nonexpansive mapping. In the definition of this notion the norm has been replaced by a general function satisfying certain conditions.
Simeon Reich, Alexander J. Zaslavski
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Iterated nonexpansive mappings [PDF]
Journal of Fixed Point Theory and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomás Domínguez Benavides +1 more
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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
wiley +1 more source
Comments on the cosmic convergence of nonexpansive maps [PDF]
Journal of Fixed Point Theory and Applications, 2021 AbstractThis note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of $$\ell ^{1}$$ ℓ 1 .
Anders Karlsson +2 more
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Rigid sets and nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: We introduce a new class of normed spaces (not necessarily finite dimensional), which contains the finite dimensional normed spaces with polyhedral norm. We study the properties of rigid sets of the spaces of this class and we apply the results to limit sets of the sequences of iterates of nonexpansive maps.
G. DI LENA, MESSANO, BASILIO, D. ROUX
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On the Suzuki nonexpansive-type mappings [PDF]
Annals of Functional Analysis, 2013 It is shown that if $C$ is a nonempty convex and weakly compact subset of a Banach space $X$ with $M(X)>1$ and $T:C\rightarrow C$ satisfies condition $(C)$ or is continuous and satisfies condition $(C_ )$ for some $ \in (0,1)$, then $T$ has a fixed point. In particular, our theorem holds for uniformly nonsquare Banach spaces.
Betiuk-Pilarska, Anna +1 more
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Best proximity pair results for relatively nonexpansive mappings in geodesic spaces [PDF]
, 2013 Given $A$ and $B$ two nonempty subsets in a metric space, a mapping $T : A \cup B \rightarrow A \cup B$ is relatively nonexpansive if $d(Tx,Ty) \leq d(x,y) \text{for every} x\in A, y\in B.$ A best proximity point for such a mapping is a point $x \in A ...
Leon, Aurora Fernandez, Nicolae, Adriana
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On Nonexpansive Mappings [PDF]
Proceedings of the American Mathematical Society, 1964 holds for all p, qEX (for all p, q with d(p, q)
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On Nonexpansive Mappings [PDF]
Proceedings of the American Mathematical Society, 1976 A generalized Hilbert space property is used to analyze nonexpansive mappings in certain settings. In particular it is shown that in l 1 {l_1} and in the important, recently defined, space J 0 {J_0} , a nonexpansive self-mapping of a bounded weak
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Iterative Algorithms for Nonexpansive Mappings [PDF]
Fixed Point Theory and Applications, 2007 AbstractWe suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.
Yonghong Yao, Yeong-Cheng Liou
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