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In a recent paper, M. Balaj [B] established an alternative principle. The principle was applied to a matching theorem of Ky Fan type, an analytic alternative, a minimax inequality, and existence of solutions of a vector equilibrium theorem. Based on the first author's fixed point theorems, in the present paper, we obtain generalizations of the main result of Balaj [B] and their applications.
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참고문헌 (12)
참고문헌 신청
M. Balaj / Alternative principles and their applications / J. Glob. Optim
K. Fan / 1984 / Some properties of convex sets reated to fixed point theorem / Math. Ann 266:519~537
M. Lassonde / 1990 / Fixed points of Kakutani factorizable multifunctions / J. Math. Anal. Appl 152:46~60
E. Michael / 1956 / Continuous selections / I, Ann. Math 63(2):361~381
E. Michael / 1959 / A theorem on semi-continuous set-valued functions / Duke Math. J 26:647~651
K. Fan / 1984 / Some properties of convex sets reated to fixed point theorem / Math. Ann 266:519~537
M. Lassonde / 1990 / Fixed points of Kakutani factorizable multifunctions / J. Math. Anal. Appl 152:46~60
E. Michael / 1956 / Continuous selections / I, Ann. Math 63(2):361~381
E. Michael / 1959 / A theorem on semi-continuous set-valued functions / Duke Math. J 26:647~651
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