Fitzpatrick, P. Michael A generalized degree for uniform limits of A-proper mappings. (English) Zbl 0215.21304 J. Math. Anal. Appl. 35, 536-552 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 Documents MSC: 47H11 Degree theory for nonlinear operators 55M25 Degree, winding number PDF BibTeX XML Cite \textit{P. M. Fitzpatrick}, J. Math. Anal. Appl. 35, 536--552 (1971; Zbl 0215.21304) Full Text: DOI OpenURL References: [1] Petryshyn, W.V, On the approximation-solvability of non-linear operators, Math. ann., 177, 156-164, (1968) · Zbl 0162.20301 [2] Petryshyn, W.V, On the projectional solvability and the Fredholm alternative for equations involving A-proper operators, Arch. rat. mech. anal., 30, 270-284, (1968) · Zbl 0176.45902 [3] Petryshyn, W.V, Some examples concerning the distinctive features of bounded linear A-proper mappings and Fredholm mappings, Arch. rat. mech. anal., 33, 331-374, (1969) · Zbl 0187.06204 [4] Petryshyn, W.V, Non-linear equations involving non-compact operators, () · Zbl 0232.47070 [5] Browder, F.E; Petryshyn, W.V, The topological degree and the Galerkin approximations for non-compact operators in Banach spaces, Bull. amer. math. soc., 74, 641-646, (1968) · Zbl 0164.17003 [6] Browder, F.G; Petryshyn, W.V, Approximation methods and the generalized topological degree for non-linear mappings in a Banach space, J. functional anal., 3, 217-245, (1969) · Zbl 0177.42702 [7] Leray, J; Schauder, J, Topologie et équations functionnelles, Ann. sci. scale norm. sup. Paris, 51, 45-73, (1934) · JFM 60.0322.02 [8] Brezis, H, Équations et inéquations non-linéaires dans LES espaces vectoriels en dualité, Ann. inst. Fourier, Grenoble, XVIII, 115-175, (1968) · Zbl 0169.18602 [9] Lions, J.L, Quelques méthodes de résolution des problèmes aux limites non-linéaires, (1969), Dunod Paris · Zbl 0189.40603 [10] {\scW. V. Petryshyn and P. M. Fitzpatrick}, New existence theorems for non-linear equations of Hammerstein type, to appear. · Zbl 0236.47057 [11] Browder, F.E, Nonlinear operators and nonlinear equations of evolution in Banach spaces, () · Zbl 0176.45301 [12] Kadec, M.I, Spaces isomorphic to a locally uniformly convex space (Russian), Izv. vyss. uceban. zaved mat., 13, 51-57, (1959) · Zbl 0092.11401 [13] Asplund, E, Averaged norms, Israel J. math., 5, 227-233, (1967) · Zbl 0153.44301 [14] Minty, G.J, Monotone (nonlinear) operators in Hilbert space, Duke math. J., 29, 1038-1041, (1962) · Zbl 0124.07303 [15] Browder, F.E, Mapping theorems for non-compact non-linear operators in Banach spaces, (), 337-342 · Zbl 0133.08101 [16] Browder, F.E, Remarks on nonlinear functional equations, III, Illinois J. math., 9, 617-622, (1965) · Zbl 0131.13501 [17] Petryshyn, W.V, Invariance of domain theorem for locally A-proper mappings and its implications, J. functional anal., 5, 137-160, (1970) · Zbl 0197.40501 [18] {\scW. V. Petryshyn}, Antipodes theorem for A-proper mappings and its applications to mappings of modified type (S) or (S)+, and to mappings with the PM-property, to appear. · Zbl 0218.47029 [19] Nussbaum, R, The fixed point index and the fixed point theorems for k-set contractions, () · Zbl 0174.45402 [20] Browder, F.E, Nonlinear accretive mappings in Banach spaces, Bull. amer. math. soc., 73, 470-476, (1967) · Zbl 0159.19905 [21] {\scW. V. Petryshyn}, Surjectivity theorems for A-proper and pseudo-A-proper mappings, to appear. · Zbl 0203.46001 [22] {\scW. V. Petryshyn}, On nonlinear equations involving pseudo-A-proper mappings and their uniform limits, with applications, to appear. · Zbl 0261.47039 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.