Normal solvability and $\phi $-accretive mappings of Banach spaces

Author:
Felix E. Browder

Journal:
Bull. Amer. Math. Soc. **78** (1972), 186-192

MSC (1970):
Primary 47H15; Secondary 47H05

DOI:
https://doi.org/10.1090/S0002-9904-1972-12907-0

MathSciNet review:
0306992

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References | Similar Articles | Additional Information

**1.**Errett Bishop and R. R. Phelps,*The support functionals of a convex set*, Proc. Sympos. Pure Math., Vol. VII, Amer. Math. Soc., Providence, R.I., 1963, pp. 27–35. MR**0154092****2.**Felix E. Browder,*Nonlinear operators and nonlinear equations of evolution in Banach spaces*, Nonlinear functional analysis (Proc. Sympos. Pure Math., Vol. XVIII, Part 2, Chicago, Ill., 1968) Amer. Math. Soc., Providence, R. I., 1976, pp. 1–308. MR**0405188****3.**Felix E. Browder,*On the Fredholm alternative for nonlinear operators*, Bull. Amer. Math. Soc.**76**(1970), 993–998. MR**265999**, https://doi.org/10.1090/S0002-9904-1970-12527-7**4.**Felix E. Browder,*Normal solvability for nonlinear mappings into Banach spaces*, Bull. Amer. Math. Soc.**77**(1971), 73–77. MR**270223**, https://doi.org/10.1090/S0002-9904-1971-12608-3**5.**Felix E. Browder,*Normal solvability and the Fredholm alternative for mappings into infinite dimensional manifolds*, J. Functional Analysis**8**(1971), 250–274. MR**0288638**, https://doi.org/10.1016/0022-1236(71)90012-7**6.***Nonlinear functional analysis*, Proceedings of Symposia in Pure Mathematics, Vol. XVIII, Part 1. Edited by Felix E. Browder, American Mathematical Society, Providence, R.I., 1970. MR**0266722****7.**F. E. Browder,*Normal solvability for nonlinear mappings and the geometry of Banach spaces*, Problems in non-linear analysis (C.I.M.E., IV Ciclo, Varenna, 1970), Edizioni Cremonese, Rome, 1971, pp. 37–66. MR**0438201****8.**F. E. Browder,*Normal solvability and existence theorems for nonlinear mappings in Banach spaces*, Problems in non-linear analysis (C.I.M.E., IV Ciclo, Varenna, 1970), Edizioni Cremonese, Rome, 1971, pp. 17–35. MR**0467430****9.**M. Edelstein,*On nearest points of sets in uniformly convex Banach spaces*, J. London Math. Soc.**43**(1968), 375–377. MR**226364**, https://doi.org/10.1112/jlms/s1-43.1.375**10.**S. I. Pohožaev,*Normal solvability of nonlinear equations*, Dokl. Akad. Nauk SSSR**184**(1969), 40–43 (Russian). MR**0240686****11.**S. I. Pohožaev,*Nonlinear operators which have a weakly closed range of values, and quasilinear elliptic equations*, Mat. Sb. (N.S.)**78 (120)**(1969), 237–259 (Russian). MR**0239274****12.**S. I. Pohožaev,*Normal solvability of nonlinear equations in uniformly convex Banach spaces*, Funkcional. Anal. i Priložen.**3**(1969), no. 2, 80–84 (Russian). MR**0247540**

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DOI:
https://doi.org/10.1090/S0002-9904-1972-12907-0