APPROXIMATION OF NONLINEAR OPERATOR EQUATIONS^*

REFERENCES

• Belluce , L. P. and Kirk , W. A. 1969 . Fixed points theorems for certain classes of nonexpansive mappings . Proc. Amer. Math. Soc. , 20 : 141 – 146 .
   Web of Science ®Google Scholar
• Binh , Tran Quoc and Chuong , Nguyen Minh . 1996 . On a fixed point theorem . Functional Analysis Appl. , 30 : 220 – 221 . (English Transl)
   Web of Science ®Google Scholar
• Binh , Tran Quoc and Chuong , Nguyen Minh . 1996 . On a fixed point theorem for nonexpansive nonlinear operators . Acta Mathematica Vietnamica , 30 : 1 – 8 .
   Google Scholar
• Chuong , Nguyen Minh , Anh , Tran Thi Lan and Binh , Tran Quoc . Projection-iteration methods for solving nonlinear operator equations , Preprint ICTP, Miramare-Trieste-Italy, IC/89/305:1–24
   Google Scholar
• Chuong , Nguyen Minh , Mamedov , Yu. D. and Ninh , Khuat Van . 1992 . Approximate solutions for operator equations . Sci. and Techn., Hanoi , MR 96j:47060
   Google Scholar
• Edelstein , M. E. 1962 . On fixed and periodic points under contractive mappings . J. London Math. Soc. , 37 : 74 – 79 .
   Google Scholar
• Kirk , W. A. 1965 . A fixed point theorem for mappings which do not increase distances . Amer. Math. Monthly , 72 : 1004 – 1006 .
   Web of Science ®Google Scholar
• Kurpel , N. S. 1976 . Projection-iterative methods for solutions of operator equations . Transl. Math. Monographs , 46 Amer. Math. Soc. Providence, R. I
   Google Scholar
• Liskovetz , O. A. 1973 . Variational methods for solving nonstable problems . Nauka Technica, Minsk (in Russian) , MR 57b: 7286
   Google Scholar
• Petryshyn , W. V. and Williamson , T. E. Jr. 1973 . Strong and weak convergence of the sequence of successive approximation for quasi-nonexpansive mappings . J. Math. Anal. Appl. , 43 : 459 – 497 .
   Web of Science ®Google Scholar
• Petryshyn , W. V. and Williamson , T. E. Jr. 1972 . A necessary and sufficient condition for the convergence of a sequence of iterates for quasi-nonexpansive mappings . Bulletin of the American Mathematical Society , 78 : 1027 – 1031 .
   Web of Science ®Google Scholar
• Sokolov , Yu. D. 1953 . On a problem of theory of unsteady motion of groundwater . Ukrai. Math. J. , 5 : 159 – 170 . MR 15h: 476
   Google Scholar
• Sokolov , Yu. D. 1954 . On theory of plane unsteady filtration of groundwater . Ukrai. Math. J. , 6 : 218 – 232 . MR 18b: 91
   Google Scholar
• Vainberg , M. M. 1973 . Variational method and method of monotone operator in the theory of non-linear equations London : Transl Jerusalem .
   Google Scholar