Reich: Remarks on fixed points, II

Reich, Simeon:
Remarks on fixed points, II
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 53 (1972), fasc. n.3-4, p. 250-254, (English)
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Questa Nota, che fa seguito ad una precedente, contiene nuovi risultati sulle trasformazioni non espansive negli spazi di Banach. Si segnalano i Teoremi 1.1, 2.6 e 2.7.

Referenze Bibliografiche

[1] NADIM A. ASSAD and W. A. KIRK, Fixed point theorems for set-valued mappings of contractive type, to appear. | MR 341459 | Zbl 0239.54032

[2] RONALD E. BRUCK, Jr., Nonexpansive retracts of Banach spaces, «Bull. Amer. Math. Soc.», 76, 384-386 (1970). | fulltext (doi) | MR 256135 | Zbl 0224.47034

[3] RONALD E. BRUCK, Jr., Properties of fixed point sets of nonexpansive mappings in Banach spaces, to appear. | MR 2611620 | Zbl 0265.47043

[4] RONALD E. BRUCK, Jr., Nonexpansive projections on subsets of Banach spaces, to appear. | MR 341223 | Zbl 0274.47030

[5] DENNIS F. CUDIA, The geometry of Banach spaces. Smoothness, «Trans. Amer. Math. Soc.», 110, 284-314 (1964). | fulltext (doi) | MR 163143 | Zbl 0123.30701

[6] M. M. DAY, R. C. JAMES and S. SWAMINATHAN, Normed linear spaces that are uniformly convex in every direction, «Canad. J. Math.», 23, 1051-1059 (1971). | fulltext (doi) | MR 287285 | Zbl 0229.46020

[7] MICHAEL EDELSTEIN, The construction of an asymptotic center with a fixed point property, «Bull. Amer. Math. Soc.», 78, 206-208 (1972). | fulltext (doi) | MR 291917 | Zbl 0231.47029

[8] JUAN A. GATICA and W. A. KIRK, Fixed point theorems for Lifschitzian pseudo-contractive mappings, to appear. | fulltext (doi) | MR 306993 | Zbl 0254.47076

[9] JUAN A. GATICA and W. A. KIRK, Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings, to appear. | fulltext (doi) | MR 331136 | Zbl 0277.47034

[10] L. A. KARLOVITZ, The construction and application of contractive retractions in two-dimensional normed linear spaces, to appear. | fulltext (doi) | MR 308755 | Zbl 0262.46020

[11] W. A. KIRK, A fixed point theorem for mappings which do not increase distances, «Amer. Math. Monthly», 72, 1004-1006 (1965). | fulltext (doi) | MR 189009 | Zbl 0141.32402

[12] W. A. KIRK, On nonlinear mappings of strongly sernieontractive type, «J. Math. Anal. Appl.», 27, 409-412 (1969). | fulltext (doi) | MR 244814 | Zbl 0183.15103

[13] W. A. KIRK, Mappings of generalized contractive type, «J. Math. Anal. Appl.», 32, 567-572 (1970). | fulltext (doi) | MR 271794 | Zbl 0213.14901

[14] A. PAZY, Asymptotic behavior of contractions in Hilbert space, «Israel J. Math.», 9, 235-240 (1971). | fulltext (doi) | MR 282276 | Zbl 0225.54032

[15] W. V. PETRYSHYN, A new fixed point theorem and its applications, «Bull. Amer. Math. Soc.», 78, 225-229 (1972). | fulltext (doi) | MR 291920 | Zbl 0231.47030

[16] S. REICH, Fixed points of condensing functions, «J. Math. Anal. Appl.», to appear. | fulltext (doi) | MR 322609 | Zbl 0252.47062

[17] S. REICH, Fixed points in locally convex spaces, «Math. Z.», 125, 17-31 (1972). | fulltext EuDML | fulltext (doi) | MR 306989 | Zbl 0216.17302

[18] S. REICH, Fixed points of non-expansive functions, «J. London Math. Soc.», to appear. | fulltext (doi) | MR 326511 | Zbl 0268.47058

[19] S. REICH, Remarks on fixed points, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», to appear. | MR 435953 | Zbl 0256.47043

[20] S. REICH, Asymptotic behavior of contractions in Banach spaces, «J. Math. Anal. Appl.», to appear. | fulltext (doi) | MR 328689 | Zbl 0275.47034

[21] V. ZIZLER, Some notes on various rotundity and smoothness properties of separable Banach spaces, «Comment. Math. Univ. Carolinae», 10, 195-206 (1969). | fulltext EuDML | MR 246095 | Zbl 0177.40702

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Referenze Bibliografiche