Some properties of monotone type multivalued operators in Banach spaces
Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 325-336

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach spaces.
Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach spaces.
DOI : 10.21136/MB.1993.125926
Classification : 46B10, 47H04, 47H05, 47H06
Keywords: monotone type multivalued operators; accretive operators; duality mapping; Banach space
Kolomý, Josef. Some properties of monotone type multivalued operators in Banach spaces. Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 325-336. doi: 10.21136/MB.1993.125926
@article{10_21136_MB_1993_125926,
     author = {Kolom\'y, Josef},
     title = {Some properties of monotone type multivalued operators in {Banach} spaces},
     journal = {Mathematica Bohemica},
     pages = {325--336},
     year = {1993},
     volume = {118},
     number = {3},
     doi = {10.21136/MB.1993.125926},
     mrnumber = {1239127},
     zbl = {0801.47039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125926/}
}
TY  - JOUR
AU  - Kolomý, Josef
TI  - Some properties of monotone type multivalued operators in Banach spaces
JO  - Mathematica Bohemica
PY  - 1993
SP  - 325
EP  - 336
VL  - 118
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125926/
DO  - 10.21136/MB.1993.125926
LA  - en
ID  - 10_21136_MB_1993_125926
ER  - 
%0 Journal Article
%A Kolomý, Josef
%T Some properties of monotone type multivalued operators in Banach spaces
%J Mathematica Bohemica
%D 1993
%P 325-336
%V 118
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125926/
%R 10.21136/MB.1993.125926
%G en
%F 10_21136_MB_1993_125926

[1] J. Ciorănescu: Aplicaţii de dualitate in analiza funktională neliniare. Ed. Acad. Rep. Soc., Romania, Bucuresti, 1974.

[2] D. F. Cudia: The geometry of Banach spaces: Smoothness. Trans. Amer. Math. Soc. 110 (1964), 284-314. | DOI | MR | Zbl

[3] W.J. Davis W.B. Johnson: A renoming of nonreflexive Banach spaces. Proc. Amer. Math. Soc. 37 (1973), 486-488. | DOI | MR

[4] C. R. De Prima W. V. Petryshyn: Remarks on strict monotoniaty and surjectivity properties of duality mappings defined on real normed linear spaces. Math. Zeitschr. 123 (1971), 49-55. | DOI | MR

[5] J. Diestel: Geometry of Banach space-Selected Topics. Lecture Notes in Math. 485, Springer-Verlag, 1975. | MR

[6] G. Emmanuele: A note about certain geometric properties of the norm of a dual Banach space. Boll. U.M.I. (7) 1-A (1987), 181-185. | MR | Zbl

[7] M. Fabian: On singlevaluedness and strong continuity of maximal monotone mappings. Comment. Math. Univ. Carolinae 18(1977), 19-39. | MR

[8] M. Fabian: Once more on continuity of maximal monotone mappings. Comment. Math. Univ. Carolinae 18 (1977), 105-114. | MR

[9] S. P. Fitzpatrick: Continuity of non-linear monotone operators. Proc. Amer. Math. Soc. 62 (1977), 111-116. | DOI | MR

[10] P. M. Fitzpatrick P. Hess T. Kato: Local boundedness of monotone type operators. Proc. Japan. Acad. Ser. A-Math. Sci. 48 (1972), 275-277. | MR

[11] J. R. Giles: Convex Analysis with Application in the Differentiation of Convex Functions. Pitman, London, 1982. | MR | Zbl

[12] J. R. Giles D. A. Gregory B. Sims: Geometrical implications of upper semicontinuity of the duality mappings on a Banach space. Pacific J. Math. 79 (1978), 99-109. | DOI | MR

[13] J. P. Gosez E. Lami Dozo: Some geometric properties related to the fixed point theory for nonexpansive mappings. Pacific. J. Math. 40 (1972), 565-573. | DOI | MR

[14] T. Kato: Accretive operators and nonlinear equations in Banach spaces. Proc. Symp. Pure Math., Amer. Math. Soc., Providence, R.I. 18 (1970), 138-161. | MR

[15] P. S. Kenderov: Multivalued monotone operators are almost everywhere single-valued. Studia Math. 56 (1976), 199-203. | DOI | MR

[16] P. S. Kenderov: Monotone operators in Asplund spaces. C.R. Acad. Bulgar. Sci. 30 (1977), 263-264. | MR | Zbl

[17] N. Kenmochi: Accretive mappings in Banach spaces. Hiroshima Math. J. 2 (163-177). | DOI | MR

[18] J. Kolomý: Maximal monotone mappings in Banach spaces. Acta Univ. Carolinae 33 (1992), 63-67. | MR

[19] J. Kolomý: On accretive multivalued mappings in Banach spaces. Comment. Math. Univ. Carolinae 31 (1990), 701-710. | MR

[20] J. Kolomý: Maximal monotone and accretive multivalued mappings and structure of Banach spaces. Function Spaces. Proc. Int. Conf. Poznan, 1986 (ed. J. Musielak), Teubner-Texte zur Mathematik 103 (1988), 170-177. | MR

[21] J. Kolomý: Resolvents and selections of accretive mappings in Banach spaces. Proc. 18th Winter School, Srní 1990, Acta Univ. Carolinae 31 (1990), 51-58. | MR

[22] J. Kolomý: A note on Banach spaces and subdifferentials of convex functions. Proc. 20th Winter School, Strobl, Austria 1992, Acta Univ. Carolinae 33 (1992), 73-83. | MR

[23] R. R. Phelps: Convex Functions, Monotone Operators and Differentiability. Lecture Notes in Math. 1364, Springer-Verlag, 1989. | MR | Zbl

[24] J. Prüss: A characterization of uniform convexity and applications to accretive operators. Hiroshima Math. J. 11 (1981), 229-234. | DOI | MR

[25] S. Troyanski: On locally uniformly convex and differentiate norms in certain nonseparable Banach spaces. Studia Math. 37(1971), 173-180. | DOI | MR

[26] L. Veselý: Some new results on accretive multivalued operators. Comment. Math. Univ. Carolinae 30 (1989), 45-55. | MR

Cité par Sources :