模糊(Fuzzy)映象的广义补余问题*
Generalized Complementarity Problems for Fuzzy Mappings
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Abstract: In this paper we introduce a new class of generalized complementarity problems for the fuzzy mappings and construct a new iterative algorithm. We also discuss the existence of solutions for the generalized complementarity problems and the convergence of iterative sequence.
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Key words:
- fuzzy mapping /
- generalized complementarity problem /
- algorithm
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[1] Lemke, C. E., Bimatrix equilibrium points and mathematical programming, Management Sci., 11(1965), 681-689. [2] Cottle,R. W. and G. B. Dantzig, Complementarity pivot theory of mathematical programming, Linear Algebra Appl, 1(1968), 103-125. [3] Lin, Y. and C. W. Cryer, An alternating direction implicit algorithm for the solution of linear complementraity problems arising from free boundary problems, Appl. Math. Optim., 13 (1985), 1-17. [4] Cottle, R. W., Complementarity and variational problems, Sympos. Math., 19(1976), 177-208. [5] Crank, J., Free and Moving Boundary Problems, Oxford Univ. Press, London (1984). [6] Noor, M. A., Iterative methods for a class of complementarity problems, J Math. Anal. Appl., 133(1988), 366-382. [7] Noor, M. A., Fixed point approach for complementarity problems, J. Math. Anal. Appl., 133 (1988), 437-448. [8] Nadler, S. B., Jr., Multi-valued contraction mappings, Pacific J. Math., 30 (1969), 475-448. [9] Varga, R. S., Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ(1962). [10] Chang Shih-sen, Fixed degree for fuzzy mappings and a generalization of Ky Fan's theorem, Fuzzy and Systems, 24(1987), 103-112. [11] Chang Shih-sen and Zhu Yuan-guo, On variational inequalities for fuzzy mappings, Fuzzy Sets and Systems, 30(1989).
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