Geodesic
On accretive multivalued mappings in Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 701-710

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

MR   Zbl

Classification : 47H04, 47H06, 47H15, 47H17, 47J05, 47J25, 54C60 
Kolomý, Josef. On accretive multivalued mappings in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 701-710. http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a9/
@article{CMUC_1990_31_4_a9,
     author = {Kolom\'y, Josef},
     title = {On accretive multivalued mappings in {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {701--710},
     year = {1990},
     volume = {31},
     number = {4},
     mrnumber = {1091367},
     zbl = {0728.47036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a9/}
}
TY  - JOUR
AU  - Kolomý, Josef
TI  - On accretive multivalued mappings in Banach spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1990
SP  - 701
EP  - 710
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a9/
LA  - en
ID  - CMUC_1990_31_4_a9
ER  - 
%0 Journal Article
%A Kolomý, Josef
%T On accretive multivalued mappings in Banach spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1990
%P 701-710
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a9/
%G en
%F CMUC_1990_31_4_a9

[1] Barbu V.: Semigrupuri de contraciii nelineare in spatii Banach. Ed. Acad. Rep. Soc. Romania, Bucaresti 1974. | MR

[2] Berens H., Hetzelt L.: On accretive operators on $l\sp \infty\sb n$. Pacific J. Math. 125 (1986), 301-315. | MR

[3] Browder F. E.: Semicontractive and semiaccretive nonlinear mappings in Banach spaces. Bull. Amer. Math. Soc. 74 (1968), 660-665. | MR | Zbl

[4] Calvert B., Fitzpatrick S., Solomon W.: Boundedness of approximations in summation of accretive operators. Ann. sti Univ. Al. I. Cuza, Iaşi 33 (1987), 229-234. | MR | Zbl

[5] Ciorănescu I.: Aplicatii da dualitate in analiza funkiionala neliniara. Ed. Acad. Rep. Soc. Romania, Bucuresti 1974. | MR

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

[7] Engl H. W.: Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef-centers. Nonlinear Anal. 1 (1977), 495-501. | MR | Zbl

[8] Fabian M.: On strong continuity of monotone mappings in reflexive Banach spaces. Acta Polytechnica 6 (1977), 85-98. | MR

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

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

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

[12] Gobbo L.: On the asymptotic behavior of the inverse of an m-accretive operator in a Banach space. Rend. Sem. Mat. Univ. Poiitechn. Torino 42 (1984), 47-64. | MR

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

[14] Hudzik H.: Uniform convexity of Musielak-Orlicz spaces with Luxemburg's norm. Comment. Math. Univ. Carolinae 23 (1983), 21-32. | MR | Zbl

[15] Hudzik H.: Strict convexity of Musielak-Orlicz spaces with Luxemburg's norm. Bull. Acad. Pol. Sci. Math. 29 (1981), 137-144. | MR | Zbl

[16] Kamińska A.: On uniform convexity of Orlicz spaces. Proc. Koninklijke Nederl. Akad. Wetensch., Amsterdam, ser. A 85.

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

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

[19] Kido K.: Strong convergence of resolvents of monotone operators in Banach spaces. Proc. Amer. Math. Soc. 103 (1988), 752-758. | MR | Zbl

[20] Köthe G.: Topologische lineare Rdume I. Springer-Verlag, Heicelberg 1960. | MR

[21] Kolomý J.: On mapping and invariance of domain theorem and accretive operators. Boll. U.M.I. 1-B (1987), 235-246. | MR

[22] Kolomý J.: 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

[23] Kolomý J.: Resolvents and selections of accretive mappings in Banach spaces. Proc. 18th Winter School, Srní 1990, Acta Univ. Carolinae (to appear). | MR

[24] Morosanu G.: Asymptotic behavior of resolvents for a monotone mapping in a Hilbert space. Atti Accad. Naz. dei Lincei, Ser. 8, 59 (1976), 565-570. | MR

[25] Reich S.: Approximating zeros of accretive operators. Proc. Amer. Math. Soc. 51 (1975), 381-384. | MR | Zbl

[26] Reich S.: Extension problems for accretive sets in Banach spaces. J. Functional Anal. 26 (1977), 378-395. | MR | Zbl

[27] Reich S.: Strong convergence theorems for resolvents of accretive operators in Banach spaces. J. Math. Anal. Appl. 75 (1980), 287-292. | MR | Zbl

[28] Reich S.: Asymptotic behavior of resolvents in Banach spaces. Atti Accad. Naz. dei Lincei, Ser. 8, 67 (1980), 27-30. | MR

[29] Chen Shutao: Convexity and smoothness of Orlicz spaces, Geometry of Orlicz spaces I. Function Spaces, Proc. Int. Conf. Poznań, 1986 (ed. J. Musielak), Teubner-Texte zur Mathematik 103 (1988), 12-19. | MR

[30] Takahasi W., Ueda Y.: On Reich's strong convergence theorems for resolvents of accretive operators. J. Math. Anal. Appl. 194 (1984), 546-553.

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