Petryshyn, W. V.; Fitzpatrick, P. M. Fixed-point theorems for multivalued noncompact inward maps. (English) Zbl 0287.47038 J. Math. Anal. Appl. 46, 756-767 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 25 Documents MSC: 47H10 Fixed-point theorems 54C60 Set-valued maps in general topology 54H25 Fixed-point and coincidence theorems (topological aspects) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bohnenblust, H. F.; Karlin, S., On a theorem of Ville, “Contributions to the Theory of Games”, ((1950), Princeton University Press), 155-160 · Zbl 0041.25701 [2] Browder, F. E., Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc., 74, 660-665 (1968) · Zbl 0164.44801 [3] Browder, F. E., The fixed point theory for multivalued mappings in topological vector spaces, Math. Ann., 177, 283-301 (1968) · Zbl 0176.45204 [4] Danes, J., Some fixed point theorems, Comment. Math. Univ. Carolinae, 2, 223-235 (1968) · Zbl 0165.49201 [5] Glicksberg, I. L., A further generalization of the Kakutani fixed point theorems with applications to Nash equilibrium points, (Proc. Amer. Math. Soc., 3 (1952)), 170-174 · Zbl 0046.12103 [6] Halpern, B., Fixed-point theorems for outward maps, (Doctoral Thesis (1965), U.C.L.A) · Zbl 0191.14701 [7] Halpern, B., Fixed point theorems for set-valued maps in infinite dimensional spaces, Math. Ann., 189, 87-98 (1970) · Zbl 0191.14701 [8] Himmelberg, C. J.; Porter, J. R.; Van Vleck, F. S., Fixed point theorems for condensing multifunctions, (Proc. Amer. Math. Soc., 23 (1969)), 635-641 · Zbl 0195.14902 [9] Fan, K., Fixed point and minimax theorems in locally convex topological linear spaces, (Proc. Nat. Acad. Sci. U.S.A., 38 (1952)), 121-126 · Zbl 0047.35103 [10] Fan, K., Extensions of two fixed point theorems of F. E. Browder, Math. Z., 112, 234-240 (1969) · Zbl 0185.39503 [11] Dozo, L., Opérateurs non-expansifs, \(P\)-compacts et propriétés géométriques de la norme, (Doctoral Thesis (1969-1970), Université Libre De Bruxelles) [12] Lifsic, E. A.; Sadovskii, B. N., A fixed point theorem for generalized condensing operators, Dokl. Akad. Nauk SSR, 183, 278-279 (1968) · Zbl 0176.12301 [13] Nussbaum, R. D., The fixed point index for local condensing maps, Ann. Mat. Pura Appl., 89, 217-258 (1971) · Zbl 0226.47031 [14] Petryshyn, W. V., Fixed point theorems for various classes of 1-set contractive and 1-ball contractive mappings in Banach spaces, Trans. Amer. Math. Soc., 182, 323-352 (1973) · Zbl 0277.47033 [15] Petryshyn, W. V.; Fitzpatrick, P. M., Degree theory for noncompact multivalued vector fields, Bull. Amer. Math. Soc., 79, 609-613 (1973) · Zbl 0267.47033 [16] W. V. Petryshyn and P. M. FitzpatrickTrans. Amer. Math. Soc.; W. V. Petryshyn and P. M. FitzpatrickTrans. Amer. Math. Soc. · Zbl 0297.47049 [17] Reich, S., Fixed points in locally convex spaces, Math. Z., 125, 17-31 (1972) · Zbl 0216.17302 [18] Reinermann, J., Fixpunktsätze vom Krasnolskii-Typ, Math. Z., 119, 339-344 (1971) · Zbl 0204.45802 [19] Sadovsky, B. N., Ultimately compact and condensing mappings, Uspehi Mat. Nauk., 27, 81-146 (1972) · Zbl 0232.47067 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.