Results 61 to 70 of about 31,881 (213)
Variational Principles for Monotone and Maximal Bifunctions [PDF]
, 2003 2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces.
Chbani, Zaki, Riahi, Hassan
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Monotone Linear Relations: Maximality and Fitzpatrick Functions [PDF]
, 2008 We analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions.
Bauschke, Heinz H. +2 more
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Quantifying coherence of quantum measurements
New Journal of Physics, 2020 In this work we investigate how to quantify the coherence of quantum measurements. First, we establish a resource theoretical framework to address the coherence of measurement and show that any statistical distance can be adopted to define a coherence ...
Kyunghyun Baek +4 more
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Journal of Mathematics, 2021 In this paper, we propose an iterative scheme for a special split feasibility problem with the maximal monotone operator and fixed-point problem in Banach spaces.
Huijuan Jia, Shufen Liu, Yazheng Dang
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Maximality of sums of two maximal monotone operators [PDF]
Proceedings of the American Mathematical Society, 2006 We use methods from convex analysis, relying on an ingenious function of Simon Fitzpatrick, to prove maximality of the sum of two maximal monotone operators on reflexive Banach space under weak transversality conditions.
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An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces
Journal of Inequalities and Applications, 2007 We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
Mastroeni G, Yao JC, Ceng LC
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On the maximal monotone operators in Hadamard spaces
OptimizationIn this paper, some topics of monotone operator theory in the setting of Hadamard spaces are investigated. For a fixed element $p$ in a Hadamard space $X$, the notion of $p$-Fenchel conjugate is introduced and a type of the Fenchel-Young inequality is proved.
Ali Moslemipour +2 more
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On the maximal monotonicity of subdifferential operators
, 2019 We present a simple proof of the maximal monotonicity of the subdifferential operator in general Banach spaces. Using the Fitzpatrick function the Rockafellar surjectivity theorem follows as a corollary.
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Journal of Mathematics, 2013 Let be a real reflexive Banach space and let be its dual. Let be open and bounded such that . Let be maximal monotone with and . Using the topological degree theory developed by Kartsatos and Quarcoo we study the eigenvalue problem where the ...
Boubakari Ibrahimou
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Lectures on maximal monotone operators
, 1993 This is a 30 page set of lecture notes, in Plain TeX, which were prepared for and presented as a series of lectures (10 1/2 hours over two weeks) at the 2nd Summer School on Banach Spaces, Related Areas and Applications in Prague and Paseky, Czech Republic, during August, 1993.
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