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Articles, 5 records found
Articles 5 records found  
1.
19 p, 403.2 KB On Bregman-type distances for convex functions and maximally monotone operators / Burachik, Regina (University of South Australia. School of Information Technology and Mathematical Sciences) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
Given two point to set operators, one of which is maximally monotone, we introduce a new distance in their graphs. This new concept reduces to the classical Bregman distance when both operators are the gradient of a convex function. [...]
2018 - 10.1007/s11228-017-0443-6
Set-Valued and Variational Analysis, Vol. 26, Núm. 2 (2018) , p. 369-384  
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2.
9 p, 291.8 KB A generalization of the strong Fitzpatrick inequality / Elias, Leonardo M. (Universidade Federal do Paraná) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We present a generalization of the strong Fitzpatrick inequality in the context of reflexive Banach spaces, involving a twisted bigger conjugate function. We also introduce a related family of gap functions for maximal monotone inclusion problems.
2017 - 10.1080/02331934.2016.1179738
Optimization, Vol. 6, Num. 6 (2017) , p.917-923  
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3.
10 p, 1022.6 KB Some conditions for maximal monotonicity of bifunctions / Hadjisavvas, Nicolas (King Fahd University of Petroleum and Minerals) ; Jacinto, Flavia M. O. (Universidade Federal do Amazonas) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
We present necessary and sufficient conditions for a monotone bifunction to be maximally monotone, based on a recent characterization of maximally monotone operators. These conditions state the existence of solutions to equilibrium problems obtained by perturbing the defining bifunction in a suitable way.
2016 - 10.1007/s11228-015-0343-6
Set-Valued and Variational Analysis, Vol. 24, Núm. 2 (June 2016) , p. 323-332  
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4.
48 p, 601.3 KB Bilinear weighted Hardy inequality for nonincreasing functions / Krepela, Martin (Charles University (República Txeca). Department of Mathematical Analysis)
2017 - 10.5565/PUBLMAT_61117_01
Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 3-50 (Articles)  
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5.
11 p, 503.4 KB Approximate iterations in Bregman-function-based proximal algorithms / Eckstein, Jonathan
This paper establishes convergence of generalized Bregman-function-based proximal point algorithms when the iterates are computed only approximately. The problem being solved is modeled as a general maximal monotone operator, and need not reduce to minimization of a function. [...]
1998
Mathematical Programming, vol. 83 n. 1 (1998) p. 113-123  
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