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Reich, Simeon

Fixed points of condensing functions. (English) Zbl 0252.47062

J. Math. Anal. Appl. 41, 460-467 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Reviews
Cited in 57 Documents

MSC:

47H10 Fixed-point theorems
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References:

[1] Browder, F. E., Fixed point theorems for nonlinear semicontractive mappings in Banach spaces, Arch. Rat. Mech. Anal., 21, 259-269 (1966) · Zbl 0144.39101
[2] Browder, F. E., A new generalization of the Schauder fixed point theorem, Math. Am., 174, 285-290 (1967) · Zbl 0176.45203
[3] Browder, F. E., Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc., 74, 660-665 (1968) · Zbl 0164.44801
[4] Darbo, G., Punti uniti in trasformazioni a codominio non compatto, (Rend. Sem. Mat. Univ. Padova, 24 (1955)), 84-92 · Zbl 0064.35704
[5] Edmunds, D. E., Remarks on nonlinear functional equations, Math. Ann., 174, 233-239 (1967) · Zbl 0152.34701
[6] Edmunds, D. E.; Webb, J. R.L, Nonlinear operator equations in Hilbert spaces, J. Math. Anal. Appl., 34, 471-478 (1971) · Zbl 0188.20903
[7] Fan, K., Extensions of two fixed point theorems of F. E. Browder, Math. Z., 112, 234-240 (1969) · Zbl 0185.39503
[8] deFigueiredo, D. G., Topics in nonlinear functional analysis, Univ. of Maryland Lec. Ser. (1967), College Park, MD
[9] Halpern, B. R.; Bergman, G. M., A fixed-point theorem for inward and outward maps, Trans. Amer. Math. Soc., 130, 353-358 (1968) · Zbl 0153.45602
[10] Halpern, B., Fixed point theorems for set-valued maps in infinite dimensional spaces, Math. Ann., 189, 87-98 (1970) · Zbl 0191.14701
[11] Kirk, W. A., On nonlinear mappings of strongly semicontractive type, J. Math. Anal. Appl., 27, 409-412 (1969) · Zbl 0183.15103
[12] Kuratowski, C., Sur les espaces complets, Fund. Math., 15, 301-309 (1930) · JFM 56.1124.04
[13] Dozo, E. Lami, Opérateurs nonexpansifs, \(P\)-compacts et propriétés géométriques de la norme, (Doctoral dissertation (1970), Université Libre de Bruxelles)
[14] Nashed, M. Z.; Wong, J. S.W, Some variants of a fixed point theorem of Krasnosel’skii and applications to nonlinear integral equations, J. Math. Mech., 18, 767-777 (1969) · Zbl 0181.42301
[15] Nussbaum, R. D., The fixed point index and fixed point theorems for \(k\)-set-contractions, (Doctoral dissertation (1969), The University of Chicago) · Zbl 0174.45402
[16] Opial, Z., Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73, 591-597 (1967) · Zbl 0179.19902
[17] Petryshyn, W. V., Fixed point theorems involving \(P\)-compact, semicontractive, and accretive operators not defined on all of a Banach space, J. Math. Anal. Appl., 23, 336-354 (1968) · Zbl 0167.15003
[18] Reinermann, J., Fixpunktsätze vom Krasnosel’skii-Typ, Math. Z., 119, 339-344 (1971) · Zbl 0204.45802
[19] Schaefer, H., Über die Methode der a priori-Schranken, Math. Ann., 129, 415-416 (1955) · Zbl 0064.35703
[20] Webb, J. R.L, Fixed point theorems for nonlinear semicontractive operators in Banach spaces, J. London Math. Soc., 1, 683-688 (1969), (2) · Zbl 0185.39502
[21] Zabreiko, P. P.; Kachurovskii, R. I.; Krasnosel’skii, M. A., On a fixed point principle for operators in a Hilbert space, Functional Anal. Appl., 1, 168-169 (1967) · Zbl 0167.15001
[22] Zabreiko, P. P.; Krasnosel’skii, M. A., A method for producing new fixed point theorems, Soviet Math. Dokl., 8, 1297-1299 (1967) · Zbl 0165.49101
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