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Reich, Simeon:
Some fixed point problems
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 57 (1974), fasc. n.3-4, p. 194-198, (English)
pdf (504 Kb), djvu (778 Kb). | MR 0397487 | Zbl 0329.47019

Sunto

In questa Nota sono elencati dieci problemi, ritenuti dall'Autore non risolti, sui punti fissi di spazi metrici, normati e localmente convessi.
Referenze Bibliografiche
[1] A. ALESINA, S. MASSA and D. ROUX (1973) - Punti uniti di multifunzioni con condizioni di tipo Boyd-Wong, «Boll. Un. Mat. Ital.», 8, 29-34. | MR 341203 | Zbl 0274.54036
[2] L. P. BELLUCE, W. A. KIRK and E. F. STEINER (1968) - Normal structure in Banach spaces, «Pacific J. Math.», 26, 433-440. | MR 233178 | Zbl 0164.15001
[3] D. W. BOYD and J. S. W. WONG (1969) - On nonlinear contractions, «Proc. Amer. Math. Soc.», 20, 458-464. | fulltext (doi) | MR 239559 | Zbl 0175.44903
[4] M. S. BROSDKII and P. D. MILMAN (1948) - On the center of a convex set, «Dokl. Akad. Nauk SSSR», 59, 837-840. | MR 24073
[5] F. E. BROWDER (1965) - Nonexpansive nonlinear operators in a Banach space, «Proc. Nat. Acad. Sci. U. S. A.», 54, 1041-1044. | fulltext (doi) | MR 187120 | Zbl 0128.35801
[6] F. E. BROWDER (1968) - The fixed point theory of multi-valued mappings in Topological vector spaces, «Math. Ann.», 177, 283-301. | fulltext EuDML | fulltext (doi) | MR 229101 | Zbl 0176.45204
[7] F. E. BROWDER (1968) - Semicontractive and semiaccretive nonlinear mappings in Banach spaces, «Bull. Amer. Math. Soc.», 74, 660-665. | fulltext (doi) | MR 230179 | Zbl 0164.44801
[8] R. E. BRUCK Jr. - A common fixed point theorem for a commuting family of nonexpansive mappings, to appear. | MR 361945
[9] J. BRYANT and L. F. GUSEMAN Jr. (1974) - Nonlinear Fixed Point Theory Bibliography, Dep. of Math., Texas A and M University, College Station, Texas.
[10] G. DARBO (1955) - Punti uniti in trasformazioni a codominio non compatto, «Rend. Sem. Mat. Univ. Padova», 24, 84-92. | fulltext EuDML | MR 70164 | Zbl 0064.35704
[11] K. FAN (1969) - Extensions of two fixed point theorems of F. E. Browder, «Math. Z.», 112, 234-240. | fulltext EuDML | fulltext (doi) | MR 251603 | Zbl 0185.39503
[12] M. A. GERAGHTY (1973) - On contractive mappings, «Proc. Amer. Math. Soc.», 40, 604-608. | fulltext (doi) | MR 334176 | Zbl 0245.54027
[13] M. A. GERAGHTY - An improved criterion for fixed points of contraction mappings, to appear. | fulltext (doi) | MR 370547
[14] K. GOEBEL and W. A. KIRK (1973) - A fixed point theorem for transformations whose iterates have uniform Lipschitz constant, «Studia Math.», 47, 135-140. | fulltext EuDML | fulltext (doi) | MR 336468 | Zbl 0265.47044
[15] B. HALPERN (1967) - Fixed points of nonexpanding maps, «Bull. Amer. Math. Soc.», 73, 957-961. | fulltext (doi) | MR 218938 | Zbl 0177.19101
[16] B. HALPERN and G. BERGMAN (1968) - A fixed point theorem for inward and outward maps, «Trans. Amer. Math. Soc.», 130, 353-358. | fulltext (doi) | MR 221345 | Zbl 0153.45602
[17] S. KANIEL (1965) - Quasi-compact non-linear operators in Banach space and applications, «Arch. Rational Mech. Anal.», 20, 259-278. | fulltext (doi) | MR 187121 | Zbl 0134.32502
[18] S. KANIEL (1971) - Construction of a fixed point for contractions in Banach space, «Israel J. Math.», 9, 535-540. | fulltext (doi) | MR 284886 | Zbl 0222.47022
[19] W. A. KIRK (1965) - A fixed point theorem for mappings which do not increase distances, «Amer. Math. Monthly», 72, 1004-1006. | fulltext (doi) | MR 189009 | Zbl 0141.32402
[20] W. A. KIRK - Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions, to appear. | fulltext (doi) | MR 380527
[21] K. KURATOWSKI (1930) - Sur les espaces complets, «Fund. Math.», 15, 301-309. | fulltext EuDML | MR 28007 | Zbl 56.1124.04
[22] T.-C. LIM (1974) - Characterizations of normal structure, «Proc. Amer. Math. Soc.», 43, 313-319. | fulltext (doi) | MR 361728
[23] T.-C. LIM - A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space, to appear. | fulltext (doi) | MR 394333
[24] R. H. MARTIN Jr. (1973) - Differential equations on closed subsets of a Banach space, «Trans. Amer. Math. Soc.», 179, 399-414. | fulltext (doi) | MR 318991
[25] R. H. MARTIN Jr. - Approximation and existence of solutions to ordinary differential equations in Banach spaces, to appear. | MR 352641
[26] S. B. NADLER Jr. (1969) - Multi-valued contraction mappings, «Pacific J.Math.», 30, 475-488. | MR 254828 | Zbl 0187.45002
[27] S. REICH (1972) - Fixed points of contractive functions, «Boll. Un. Mat. Ital.», 5, 26-42. | MR 309095 | Zbl 0249.54026
[28] S. REICH (1972) - Fixed points in locally convex spaces, «Math. Z.», 125, 17-31. | fulltext EuDML | fulltext (doi) | MR 306989 | Zbl 0216.17302
[29] S. REICH (1972) - Remarks on fixed points, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis. mat. natur.», 52, 689-697. | MR 331139 | Zbl 0256.47043
[30] S. REICH (1972) - Remarks on fixed point, II, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis. mat. natur.», 53, 250-254. | MR 435953
[31] S. REICH (1973) - Fixed points of condensing functions, «J. Math. Anal. Appl.», 41, 460-467. | fulltext (doi) | MR 322609 | Zbl 0252.47062
[32] S. REICH (1973) - Asymptotic behavior of contractions in Banach spaces, «J. Math. Anal. Appl.», 44, 57-70. | fulltext (doi) | MR 328689 | Zbl 0275.47034
[33] S. REICH - On fixed point theorems obtained from existence theorems for differential equations, in preparation. | Zbl 0328.47034
[34] A. TYCHONOFF (1935) - Ein Fixpunkisatz, «Math. Ann.», 111, 767-776. | fulltext EuDML | fulltext (doi) | MR 1513031 | Zbl 0012.30803

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