ITERATIVE CONSTRUCTION OF FIXED POINTS OF A DISSIPATIVE TYPE OPERATOR

Article Sidebar

PDF
Published: Sep 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4543
Keywords:
iterative process for a multifunction uniformly smooth Banach space fixed point

Main Article Content

XINLONG WENG
Department of Mathematics, Marshall University, Huntington, West Virginia 25755, U.S.A.

Abstract




ITERATIVE CONSTRUCTION OF FIXED POINTS OF A DISSIPATIVE TYPE OPERATOR




Article Details

How to Cite
WENG, X. (1992). ITERATIVE CONSTRUCTION OF FIXED POINTS OF A DISSIPATIVE TYPE OPERATOR. Tamkang Journal of Mathematics, 23(3), 205–212. https://doi.org/10.5556/j.tkjm.23.1992.4543
Issue
Vol. 23 No. 3 (1992)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

F. E. Browder and W. V. Petryshyn, "Construction of fixed points of nonlinear mappings in Hilbert space", J. Math. Anal. Appl. 20 (1967), 197-228

J. C. Dunn, "On recursive averaging processes and Hilbert space extensions of the con­ traction mapping principle", J. Franklin Inst 295 (1973), 117-133

B. E. Rhoades, "Fixed point iterations using infinite matrices", Trans. Amer. Math. Soc. 196 (1974), 161-176

W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc. 4 (1953), 506-510

S. Ishikawa, "Fixed points by a new iteration method", Proc. Amer. Math. Soc. 44 (1974), 147-150

B. E. Rhoades, "Fixed point iterations using infinite matrices, 11", in Constructive and Computational Methods for Differential and Integral Equations, Vol. 430, pp. 390-395 (1974)

B. E. Rhoades, "Fixed point iterations using infinite matrices, III", in Proceedings of the Conference on Computing Fixed Points with Applications, (1974)

B. E. Rhoades, "Comments on two fixed point iteration methods", J. Math. Anal. Appl., (1975)

H. D. Block, "Estimates of error for two modifications of the Robbins-Monro stochastic approximation process", Ann. Math. Statist. 28 (1957), 1003-1010

R. E. Bruck, Jr., "The iterative solution of the equation Y E x +Tx for a monotone operator T in Hilbert space", Bull. Amer. Math. Soc. 79 (1973), 1258-1261

R. E. Bruck, Jr., "A strongly convergent iterative solution of O E U(x) for a maximal monotone operator U in Hilbert space", J. Math. Anal Appl. 48 (1974), 114-126

R. E. Burck, Jr., "Ali iterative solution of a variational inequality for certain monotone operators in Hilbert space", Bull. Amer. Math. Soc. 81 (1975), 890-892

V. F. Demyanov and A. M. Rulbinov, "Approximate Methods in Optimization Problems", American Elsevier, New York, 1970

E. G. Gilbert, "An iterative procedure for computing the minimum of a quadratic form on a convex set", J. SIAM Contral 4 (1966), 61-80

R. T. Rockafellar, "Convex Analysis", Princeton Univ. Press, Princeton N. 1., 1970

J. C. Dunn, "Iterative construction of fixed points for multivalued operators of the mono­tone type", Journal of Functional Analysis 27 (1978), 38-50

C. E. Chidume, "Iterative construction of fixed points for multivalued operators of the monotone type", Applicable Analysis 23 (1986) 209-218

S. Reich, "An iterative procedure for constructing zeros of accretive sets in Banach spaces", Journal of Nonlinear Analysis 2 (1978), 85-92

S. Reich, "Constructive techniques for accretive and monotone operators", Applied Nonlinear Analysis, Arlington, TX (1979)

T. Kato, "Nonlinear semigroups and evolution equations", J. Math. Soc. Japan 19 No.4,(1967) 509-519

Ya. I. Al'ber and A. I. Notik, "Geometric properties of Banach spaces and approximate methods for solving nonlinear operator equations Soviet Math", Dokl. 29 No.3 (1984) 611-615