On the stability of the parallel sum of maximal monotone operators

Journal of Mathematical Analysis and Applications

Volumn 199, Issue 2, 1996, Pages 478-488

  Moudafi, Abdellatif ^a  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584693     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0155     Document Type: Article

References (14)

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3. 3. H. Attouch, A. Moudafi, and H. Riahi, Quantitative Stability Analysis of Maximal Monotone Operators and Semi-groups of Contractions, Nonlinear Anal. 21, No. 9 (1993), 697-723.
4. 4. H. Attouch and J. B. Wets, Quantitative stability of variational system. The epigraphical distance, II ASA working paper, WP 88-98, Luxemburg, Austria, 1988.
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6. 6. H. Brezis, "Opérateurs maximaux monotones et semi-groupes de contractions dans les Espaces de Hilbert," North-Holland, Amsterdam, 1973.
7. 7. Fitzpatrick and Phelps, Bounded approximants to monotone operators on Banach space, to appear.
8. 8. J. B. Hiriart-Urruty and F. Mazure, Formulations variationnelles de l'addition parallèle et de la soustraction parallèle d'opérateurs semi-définis positifs, C.R. Acad. Sci. Paris Sér. I Math. 302, No. 15 (1986), 527-530.
9. 9. F. Kubo, Conditional expectation and operators derived from network connections, J. Math. Anal. Appl. 80 (1981), 477-489.
10. 10. J. Luque, Convolution of maximal monotone operators, to appear.
11. 11. G. B. Passty, The parallel sum of nonlinear monotone operators, Nonlinear Anal. 10 (1986), 215-227.
12. 12. H. Riahi, "Quelques résultats de stabilité en Analyse épigraphique approche topologique et quantitative, "Thèse, Université de Montpellier, 1989.
13. 13. R. M. Torrejon, Perturbation of nonlinear operators and their parallel sum, Nonlinear Anal. 10 (1986), 483-490.
14. 14. H. Attouch and H. Brézis, Duality for the sum of convex functions in general Banach space, in "Aspects of Mathematics and Its Applications" (J. B. Arroso, Ed.), pp. 125-133, North-Holland, Amsterdam, 1986.