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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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In this paper we give two matching theorems of Ky Fan type concerning open or closed coverings of nonempty convex sets in a topological vector space. One of them will permit us to put in evidence, when X and Y are convex sets in topological vector spaces, a new subclass of KKM(X,Y) different by any admissible class [기호]_c(X,Y). For this class of set-valued mappings we establish a KKM-type theorem which will be then used for obtaining existence theorems for the solutions of two types of simultaneous relation problems.
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참고문헌 (27)
참고문헌 신청
C. R. Chen / 2009 / Solution semicontinuity of parametric generalized vector equilibrium problems / J. Global Optim 45 (2) : 309 ~ 318
D. T. Luc / 2008 / An abstract problem in variational analysis / J. Optim. Theory Appl 138 (1) : 65 ~ 76
D. T. Luc / 2010 / Existence of solutions in variational relation problems without convexity / J. Math. Anal. Appl 364 (2) : 544 ~ 555
J. C. Jeng / 2002 / Characterization of maps having the KKM property / Soochow J. Math 28 (3) : 329 ~ 338
J. Y. Fu / 2002 / Generalized vector equilibrium problems with set-valued map- pings / Math. Methods Oper. Res 56 (2) : 259 ~ 268
D. T. Luc / 2008 / An abstract problem in variational analysis / J. Optim. Theory Appl 138 (1) : 65 ~ 76
D. T. Luc / 2010 / Existence of solutions in variational relation problems without convexity / J. Math. Anal. Appl 364 (2) : 544 ~ 555
J. C. Jeng / 2002 / Characterization of maps having the KKM property / Soochow J. Math 28 (3) : 329 ~ 338
J. Y. Fu / 2002 / Generalized vector equilibrium problems with set-valued map- pings / Math. Methods Oper. Res 56 (2) : 259 ~ 268
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