Results 11 to 20 of about 5,923 (300)

The Ruijsenaars Self-Duality Map as a Mapping Class Symplectomorphism [PDF]

, 2013
Contribution to the proceedings of the workshop `Lie Theory and its Applications in Physics IX' (Varna, June 2011), 13 ...
Fehér, L, Klimcik, C
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Duality Mapping and Birkhoff Orthogonality

Annals of the Alexandru Ioan Cuza University - Mathematics, 2013
Abstract. In this note we establish some properties of Birkhoff orthogonality in terms of duality mapping. Particularly, using a slight extension of a Rockafellar result we obtain a new proof of a result earlier established by Blanco and Turnšek concerning the linear operators preserving Birkhoff orthogonality.
T. Precupanu
openaire   +2 more sources

Convergence Theorems for a Maximal Monotone Operator and a 𝑉-Strongly Nonexpansive Mapping in a Banach Space [PDF]

Abstract and Applied Analysis, 2010
Let E be a smooth Banach space with a norm ‖⋅‖. Let 𝑉(𝑥,𝑦)=‖𝑥‖2+‖𝑦‖2−2⟨𝑥,𝐽𝑦⟩ for any 𝑥,𝑦∈𝐸, where ⟨⋅,⋅⟩ stands for the duality pair and J is the normalized duality mapping.
Hiroko Manaka
doaj   +2 more sources

Duality Fixed Point and Zero Point Theorems and Applications [PDF]

Abstract and Applied Analysis, 2012
The following main results have been given. (1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition ...
Qingqing Cheng, Yongfu Su, Jingling Zhang   +2 more
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Fixed Point Theorems for an Elastic Nonlinear Mapping in Banach Spaces

Abstract and Applied Analysis, 2015
Let E be a smooth Banach space with a norm ·. Let V(x,y)=x2+y2-2 x,Jy for any x,y∈E, where ·,· stands for the duality pair and J is the normalized duality mapping. We define a V-strongly nonexpansive mapping by V(·,·).
Hiroko Manaka
doaj   +1 more source

Convergence Theorems for Modified Implicit Iterative Methods with Perturbation for Pseudocontractive Mappings

Mathematics, 2020
In this paper, first, we introduce a path for a convex combination of a pseudocontractive type of mappings with a perturbed mapping and prove strong convergence of the proposed path in a real reflexive Banach space having a weakly continuous duality ...
Jong Soo Jung
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Solution of master equations by fermionic-duality: Time-dependent charge and heat currents through an interacting quantum dot proximized by a superconductor

SciPost Physics, 2023
We analyze the time-dependent solution of master equations by exploiting fermionic duality, a dissipative symmetry applicable to a large class of open systems describing quantum transport.
Lara C. Ortmanns, Maarten R. Wegewijs, Janine Splettstoesser
doaj   +1 more source

On the spectrum of Robin boundary p-Laplacian problem

Moroccan Journal of Pure and Applied Analysis, 2019
We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
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Existence results for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in $p$-uniformly smooth and $q$-uniformly convex Banach spaces.
Messaoud Bounkhel
doaj   +1 more source

An Implicit Algorithm for Finding a Fixed Point of a Q-Nonexpansive Mapping in Locally Convex Spaces

Journal of Mathematics, 2021
In this paper, the notion of the q-duality mappings in locally convex spaces is introduced. An implicit method for finding a fixed point of a Q-nonexpansive mapping is provided.
E. Soori, M.R. Omidi, A.P. Farajzadeh, Yuanheng Wang   +3 more
doaj   +1 more source