Results 21 to 30 of about 9,619 (245)

Logical metatheorems for accretive and (generalized) monotone set-valued operators

Journal of Mathematical Logic, 2023
Accretive and monotone operator theory are central branches of nonlinear functional analysis and constitute the abstract study of certain set-valued mappings between function spaces. This paper deals with the computational properties of these accretive and (generalized) monotone set-valued operators.
openaire   +2 more sources

Monotone and generalized monotone bifunctions and their application to operator theory [PDF]

, 2014
Το θέμα της παρούσας διατριβής είναι η μελέτη των μονότονων και γενικευμένα μονότονων «δισυναρτήσεων», δηλαδή συναρτήσεων F:CxCR, όπου C είναι υποσύνολο του χώρου Banach X, οι οποίες ικανοποιούν τη σχέση f(x,y)+f(y,x)<=0. Κύριος σκοπός είναι η συσχέτιση των ιδιοτήτων των μονότονων δισυναρτήσεων με αντίστοιχες ιδιότητες των πλειότιμων μονότονων ...
openaire   +1 more source

A note on the star order in Hilbert spaces [PDF]

, 2010
We study the star order on the algebra L(H) of bounded operators on a Hilbert space H. We present a new interpretation of this order which allows to generalize to this setting many known results for matrices: functional calculus, semi-lattice properties,
Antezana, Jorge Abel, Cano, Cristina, Mosconi, Irene, Stojanoff, Demetrio   +3 more
core   +1 more source

General monotonicity, interpolation of operators, and applications

, 2014
We continue the work of S. Tikhonov, E. Liflyand, B. Booton, and others, proving the equivalence of L(p,q)-norms of general monotone functions and of their Fourier transforms. The main tool in this work is the interpolation properties of cones of general monotone functions in L(p,q)-norms.
Grigoriev, S. M., Sagher, Y., Savage, T. R.   +2 more
openaire   +2 more sources

General Resolvents for Monotone Operators: Characterization and Extension

, 2008
Monotone operators, especially in the form of subdifferential operators, are of basic importance in optimization. It is well known since Minty, Rockafellar, and Bertsekas-Eckstein that in Hilbert space, monotone operators can be understood and analyzed from the alternative viewpoint of firmly nonexpansive mappings, which were found to be precisely the ...
Bauschke, Heinz H., Wang, Xianfu, Yao, Liangjin   +2 more
openaire   +2 more sources

Hybrid Proximal-Type Algorithms for Generalized Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings [PDF]

Fixed Point Theory and Applications, 2010
AbstractThe purpose of this paper is to introduce and consider new hybrid proximal-type algorithms for finding a common element of the set "Equation missing" of solutions of a generalized equilibrium problem, the set "Equation missing" of fixed points of a relatively nonexpansive mapping "Equation missing", and the set "Equation missing" of zeros of a ...
Ansari QH, Al-Homidan S, Zeng Lu-Chuan
openaire   +4 more sources

Quantum Markov chains, sufficiency of quantum channels, and Renyi information measures

, 2015
A short quantum Markov chain is a tripartite state $\rho_{ABC}$ such that system $A$ can be recovered perfectly by acting on system $C$ of the reduced state $\rho_{BC}$. Such states have conditional mutual information $I(A;B|C)$ equal to zero and are the
Datta, Nilanjana, Wilde, Mark M.
core   +1 more source

An equivalent condition to the Jensen inequality for the generalized Sugeno integral. [PDF]

, 2017
For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral.
Abbaszadeh, Sadegh, de la Sen, Manuel, Ebadian, Ali, Jaddi, Mohsen   +3 more
core   +3 more sources

A general iterative method for two maximal monotone operators and 2-generalized hybrid mappings in Hilbert spaces [PDF]

Fixed Point Theory and Applications, 2013
دع C تكون مجموعة فرعية مغلقة ومحدبة من فضاء هيلبرت الحقيقي H. دع T تكون خريطة هجينة معممة لـ C في حد ذاتها، دع A تكون خريطة معكوسة بقوة رتيبة لـ C إلى H، ودع B و F تكون مشغلات رتيبة قصوى على و على التوالي. الغرض من هذه الورقة هو تقديم مخطط تكراري عام لإيجاد نقطة تكون حلًا فريدًا للتفاوت المتغير الهرمي، حيث تكون مجموعة النقاط الثابتة لـ T، ومجموعات نقاط
Rabian Wangkeeree, Uraiwan Boonkong
openaire   +2 more sources

Composition‐Tuned Enhancement of the Anomalous Nernst Effect in FeCo–Pt Thin Films on Rigid and Flexible Substrates

Advanced Engineering Materials, EarlyView.
Disordered (Fe50Co50)1−xPtx thin films exhibit a pronounced anomalous Nernst effect (ANE) with a strong composition dependence on both rigid and flexible substrates. The transverse thermoelectric response peaks near 22.5 at.% Pt, accompanied by enhanced αxy/σxy scaling, thermal transport, and ANE sensitivity.
Mojtaba Mohammadi, Hiroyuki Awano, Kenji Tanabe   +2 more
wiley   +1 more source