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Browder, F. E.

Fixed point theorems for nonlinear semicontractive mappings in Banach spaces. (English) Zbl 0144.39101

Arch. Ration. Mech. Anal. 21, 259-269 (1966).
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Cited in 45 Documents

Keywords:

functional analysis
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\textit{F. E. Browder}, Arch. Ration. Mech. Anal. 21, 259--269 (1966; Zbl 0144.39101)
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References:

[1] Beurling, A., & A.E. Livingston, A theorem on duality mappings in Banach spaces. Arkiv Mat. 4, 405–411 (1962). · Zbl 0105.09301
[2] Brodski, M.S., & D.P. Milman, On the center of a convex set. Dokladi Akad. Nauk SSSR (N. S.) 59, 837–840 (1948).
[3] Browder, F.E., Nonlinear elliptic boundary value problems. Bull. Amer. Math. Soc. 29, 862–874 (1963). · Zbl 0127.31901
[4] Browder, F.E., On a theorem of Beurling and Livingston. Canadian Jour. Math. 17, 367–372 (1965). · Zbl 0132.10602
[5] Browder, F.E., Multivalued monotone nonlinear mappings and duality mappings in Banach spaces. Transact. Amer. Math. Soc. 118, 338–351 (1965). · Zbl 0138.39903
[6] Browder, F.E., Existence and uniqueness theorems for solutions of nonlinear boundary value problems. Proceedings Amer. Math. Soc. Symposium on Applied Math. 17, 24–49 (1965).
[7] Browder, F.E., Existence of periodic solutions for nonlinear equations of evolution. Proc. Nat. Acad. Sci. 53, 1100–1103 (1965). · Zbl 0135.17601
[8] Browder, F.E., Fixed point theorems for non-compact mappings in Hilbert space. Proc. Nat. Acad. Sci. 53, 1272–1276 (1965). · Zbl 0125.35801
[9] Browder, F.E., Mapping theorems for noncompact nonlinear operators in Banach spaces. Proc. Nat. Acad. Sci. 54, 337–342 (1965). · Zbl 0133.08101
[10] Browder, F.E., Nonexpansive nonlinear operators in a Banach space. Proc. Nat. Acad. Sci. 54, 1041–1044 (1965). · Zbl 0128.35801
[11] Marr, R. de, Common fixed points for commuting contraction mappings. Pacific Jour. Math. 13, 1139–1141 (1963). · Zbl 0191.14901
[12] Edelstein, M., On fixed and periodic points under contractive mappings. Jour. London Math. Soc. 37, 74–79 (1962). · Zbl 0113.16503
[13] Edelstein, M., On nonexpansive mappings of Banach spaces. Proc. Cambridge Phil. Soc. 60, 439–447 (1964). · Zbl 0196.44603
[14] Kirk, W.A., A fixed point theorem for mappings which do not increase distance (to appear). · Zbl 0141.32402
[15] Lumer, G., & R.S. Phillips, Dissipative operators in Banach spaces. Pacific Jour. Math. 11, 679–698 (1961). · Zbl 0101.09503
[16] Minty, G.J., On a ”monotonicity” method for the solution of nonlinear equations in Banach spaces. Proc. Nat. Acad. Sci. 50, 1038–1041 (1963). · Zbl 0124.07303
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