지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
We introduce a new concept of abstract convex spaces and
a multimap class K having certain KKM property. From a basic KKM
type theorem for a K-map defined on an abstract convex space without
any topology, we deduce ten equivalent formulations of the theorem. As
applications of the equivalents, in the frame of abstract convex topological
spaces, we obtain Fan-Browder type fixed point theorems, almost
fixed point theorems for multimaps, mutual relations between the map
classes K and B, variational inequalities, the von Neumann type minimax
theorems, and the Nash equilibrium theorems.
목차
등록된 정보가 없습니다.
참고문헌 (26)
참고문헌 신청
A. Amini / 2006 / Fixed point theorems for the class S-KKM mappings in abstract convex spaces / NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 66 : 14 ~ 21
A. Borglin / 1976 / Existence of equilibrium actions and of equilibrium / Journal of Mathematical Economics 3 (3) : 313 ~ 316
B. Knaster / 1929 / Ein Beweis des Fixpunktsatzes f¨urn-Dimensionale Simplexe / Fundamenta Mathematicae 14 : 132 ~ 137
C. D. Horvath / 1987 / Some results on multivalued mappings and inequalities without convexity, Nonlinear and Convex Analysis / Proc. in honor of Ky Fan : 99 ~ 106
C. D. Horvath / 1990 / Convexite generalisee et applications, Sem. Math. Super / Press. Univ. Montreal : 79 ~ 99
A. Borglin / 1976 / Existence of equilibrium actions and of equilibrium / Journal of Mathematical Economics 3 (3) : 313 ~ 316
B. Knaster / 1929 / Ein Beweis des Fixpunktsatzes f¨urn-Dimensionale Simplexe / Fundamenta Mathematicae 14 : 132 ~ 137
C. D. Horvath / 1987 / Some results on multivalued mappings and inequalities without convexity, Nonlinear and Convex Analysis / Proc. in honor of Ky Fan : 99 ~ 106
C. D. Horvath / 1990 / Convexite generalisee et applications, Sem. Math. Super / Press. Univ. Montreal : 79 ~ 99
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Remarks on the KKM property for open-valued multimaps on generalized convex spaces
대한수학회지
2005 .01
-
ELEMENTS OF THE KKM THEORY FOR GENERALIZED CONVEX SPACE
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
2000 .01
-
ON AN R-E-KKM THEOREM AND ITS APPLICATIONS
충청수학회지
2014 .01
-
A SIMPLE PROOF OF THE SION MINIMAX THEOREM
대한수학회보
2010 .01
-
Applications of results on abstract convex spaces to topological ordered spaces
대한수학회보
2013 .01
-
Almost fixed point theorems of the Zima type
대한수학회지
2004 .01
-
Matching theorems and simultaneous relation problems
대한수학회보
2011 .01
-
ON A GENERALIZED E-KKM THEOREM
충청수학회지
2013 .01
-
COMMENTS ON GENERALIZED R-KKM TYPE THEOREMS
대한수학회논문집
2010 .01
-
COMMENTS ON HOU JICHENG’S “ON SOME KKM TYPE THEOREMS”
대한수학회논문집
2010 .01
-
COINCIDENCE THEOREMS FOR NONCOMPACT RC-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONS
대한수학회보
2012 .01
-
Fixed-point theory for k-set contraction
대한수학회지
2004 .01
-
INCLUSION AND INTERSECTION THEOREMS WITH APPLICATIONS IN EQUILIBRIUM THEORY IN G-CONVEX SPACES
대한수학회지
2010 .01
-
Generalized KKM-type theorems for best proximity points
대한수학회보
2016 .01
-
Quasi-variational, minimax inequalities, and collectively fixed point results
대한수학회보
2005 .01
-
A Maximal Element of Condensing Multimaps
충청수학회지
1993 .01
-
COMMENTS ON DING'S EXAMPLES OF FC-SPACES AND RELATED MATTERS
대한수학회논문집
2012 .01
-
EXTENSIONS OF MINIMIZATION THEOREMS AND FIXED POINT THEOREMS ON A D*-METRIC SPACE
순수 및 응용수학
2011 .01
-
Fixed point theorems in fuzzy metric spaces for mappings with some contractive type conditions
한국수학논문집
2018 .01
-
Mixed vector equilibrium-like problems in Banach spaces
East Asian Mathematical Journal
2009 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0