An iterative solution of a variational inequality for certain monotone operators in Hilbert space

Bulletin of the American Mathematical Society

Volumn 81, Issue 5, 1975, Pages 890-892

  Bruck, Ronald E ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966250602     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9904-1975-13874-2     Document Type: Article

References (11)

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4. F. E. Browder, Nonlinear variational inequalities and maximal monotone mappings in Banach spaces, Math. Ann. 183 (1969), 213-231. MR 42 #6661.
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6. R. E. Bruck, Jr., Asymptotic convergence of nonlinear contraction semigroups in Hilbert space, J. Functional Analysis 18 (1975), 15-26.
7. R. E. Bruck, Jr., The iterative solution of the equation y G x + Tx for a monotone operator T in Hilbert space, Bull. Amer. Math. Soc. 79 (1973), 1258-1261. MR 48 #7034.
8. R. E. Bruck, Jr., A strongly convergent iterative solution of 0 G U(x) for a maximal monotone operator U in Hilbert space, J. Math. Anal. Appl. 48 (1974), 114-126.
9. A. A. Goldstein, Convex programming in Hilbert space, Bull. Amer. Math. Soc. 70 (1964), 709-710. MR 29 #3262.
10. J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod; Gauthier-Villars, Paris, 1969. MR 41 #4326.
11. Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597. MR 35 #2183.