Construction of fixed points of nonlinear mappings in Hilbert space

Belluce, 1966, Fixed point theorems for families of contraction mappings, Pacific J. Math., 10.2140/pjm.1966.18.213

Brodskii, 1948, On the center of a convex set, Dokl. Akad. Nauk SSSR (M. S.), 59, 837

Browder, 1963, The solvability of nonlinear functional equations, Duke Math. J., 30, 557, 10.1215/S0012-7094-63-03061-8

Browder, 1963, Variational boundary value problems for quasilinear elliptic equations of arbitrary order, 50, 31

Browder, 1963, Variational boundary value problems for quasilinear elliptic equations. II, 50, 592

Browder, 1963, Variational boundary value problems for quasilinear elliptic equations. III, 50, 794

Browder, 1963, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc., 69, 862, 10.1090/S0002-9904-1963-11068-X

Browder, 1965, Existence and uniqueness theorems for solutions of nonlinear boundary value problems, 17, 24

Browder, 1965, Existence of periodic solutions for nonlinear equations of evolution, 53, 1100

Browder, 1965, Fixed point theorems for noncompact mappings in Hilbert space, 53, 1272

Browder, 1965, Mapping theorems for noncompact nonlinear operators in Banach space, 54, 337

Browder, 1966, Nonlinear operators in Banach spaces, Math. Ann., 162, 280, 10.1007/BF01360916

Browder, 1966, Nonexpansive nonlinear operators in a Banach space, 54, 1041

Browder, 1966, Fixed point theorems for nonlinear semicontractive mappings in Banach spaces, Arch. Rat. Mech. Anal., 21, 259, 10.1007/BF00282247

Browder, 1966

Browder, 1966, On the unification of the calculus of variations and the theory of monotone nonlinear operators in Banach spaces, 56, 419

Browder, 1966, Existence and approximation of solutions of nonlinear variational inequalities, 56, 1080

Browder, 1967, Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces, Arch. Rat. Mech. Anal., 24, 82, 10.1007/BF00251595

F. E. Browder. Periodic solutions of nonlinear equations of evolution in infinite dimensional spaces. Proc. Maryland Symp. Diff. Eqs., to appear.

F. E. Browder. Nonlinear equations of evolution and the method of steepest descent in Banach spaces. To appear.

Browder, 1967, Nonlinear accretive operators, Bull. Amer. Math. Soc., 73, 470, 10.1090/S0002-9904-1967-11786-5

F. E. Browder. Approximation-solvability of nonlinear functional equations in normed linear spaces. To appear.

Browder, 1966, J-monotone nonlinear operators in Banach spaces, Konkl. Nederl. Akad. Wetensch., 69, 412, 10.1016/S1385-7258(66)50048-8

Browder, 1966, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc., 72, 571, 10.1090/S0002-9904-1966-11544-6

C. De Prima. Nonexpansive mappings in convex linear topological spaces. To appear.

Delph, 1964, On nonlinear integral equations of the Hammerstein type, 99

Edelstein, 1961, An extension of Banach's contraction principle, 12, 7

Edelstein, 1963, On predominantly contractive mappings, J. London Math. Soc., 38, 81, 10.1112/jlms/s1-38.1.81

Edelstein, 1962, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37, 74, 10.1112/jlms/s1-37.1.74

Edelstein, 1964, On nonexpansive mappings in Banach spaces, 60, 439

Edelstein, 1966, A remark on a theorem of M. A Krasnoselski, Amer. Math. Month., 509, 10.2307/2315474

de Figueiredo, 1967, On the radial projection in normed spaces, Bull. Amer. Math. Soc., 73, 364, 10.1090/S0002-9904-1967-11753-1

Göhde, 1966, Zum Prinzip der kontraktiven Abbildung, Math. Nachr., 30, 251, 10.1002/mana.19650300312

Kachurovsky, 1960, On monotone operators and convex functionals, Uspekhi Mat., 15, 213

Kirk, 1965, A fixed point theorem for mappings which do not increase distance, Amer. Math. Month., 72, 1004, 10.2307/2313345

Kolodner, 1963, Constructive methods for the Hammerstein equation in Hilbert space, University of New Mexico Technical Report No. 35

Koshelev, 1962, On the convergence of the method of successive approximations for quasilinear elliptic equations, Dokl. Akad. Nauk SSSR, 142, 1007

Krasnoselski, 1955, Two remarks about the method of successive approximations, Uspekhi Mat. Nauk, 19, 123

Minty, 1962, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29, 341, 10.1215/S0012-7094-62-02933-2

Minty, 1963, On a “monotonicity” method for the solution of nonlinear equations in Banach spaces, 50, 1038

Moreau, 1965, Proximité et dualité dans un éspace hilbertien, Bull. Soc. Mat. France, 93, 273, 10.24033/bsmf.1625

Opial, 1967, Weak convergence of the successive approximations for nonexpansive mappings in Banach spaces, Bull. Amer. Math. Soc., 73, 591, 10.1090/S0002-9904-1967-11761-0

Petryshyn, 1966, Construction of fixed points of demicompact mappings in Hilbert space, J. Math. Anal. Appl., 14, 276, 10.1016/0022-247X(66)90027-8

Petryshyn, 1966, On the extension and the solution of nonlinear operator equations, Illinois J. Math., 10, 255, 10.1215/ijm/1256055108

W. V. Petryshyn. Projection methods in nonlinear numerical functional analyseis. J. Math. Mech., to appear.

Schaefer, 1957, Über die Methode sukzessiver Approximationen, J. Deutsch. Math. Verein., 59, 131

Semeonov, 1964, On certain methods in the solution of nonlinear problems in the me chanics of deformed bodies, Prikl. Math. Mekh., 28, 418

Vainberg, 1961, On the convergence of the method of steepest descent for nonlinear equations, Sibir. Mat. J., 2, 201

Zarantonello, 1960, Solving functional equations by contractive averaging, Mathematics Research Center Technical Report No. 160

Zarantonello, 1964, The closure of the numerical range contains the spectrum, Bull. Amer. Math. Soc., 70, 771, 10.1090/S0002-9904-1964-11237-4