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Remarks on the KKM property for open-valued multimaps on generalized convex spaces

Hoonjoo Kim|Sehie Park
대한수학회 (The Korean Mathematical Society)|2005.01|대한수학회지 (Journal of the KMS)|제42권 제1호|pp. 101-110

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Abstract

Let (X;D; ¡) be a G-convex space and Y a Hausdor?? space. Then A· c (X; Y ) ½ KO(X; Y ), where A· c is an admissible class (due to Park) and KO denotes the class of multimaps having the KKM property for open-valued multimaps. This new result is used to obtain a KKM type theorem, matching theorems, a ¯xed point theorem, and a coincidence theorem.

참고문헌 (12)

  1. "Applications of two matching theorems in generalized convex spaces", 7, pp.123~130 (2002)
  2. "Foundations of the KKM theory via coincidences of composites of uppersemicontinuous maps", 31, pp.493~519 (1994)
  3. "Coincidence theorems for the better admissible multimaps and their applications", 30, pp.4183~4191 (1997)
  4. "xed point theory of multimaps on topological vector spaces", 36, pp.829~832 (1999)
  5. "Elements of the KKM theory for generalized convex spaces", 7, pp.1~28 (2000)
  6. "Remarks on topologies of generalized convex spaces", 5, pp.67~79 (2000)
  7. "New topological versions of the Fan{Browder ?xed point theorem", 47, pp.595~606 (2001)
  8. "Fixed point theorems in locally G-convex spaces", 48, pp.869~879 (2002)
  9. "J. Nonlinear Convex Anal. and minimax theorems on generalized convex spaces", 4, pp.151~164 (2003)
  10. "Coincidences of composites of u.s.c. maps on H-spaces and applications", 32, pp.251~264 (1995)
  11. "Foundations of the KKM theory on generalized convex spaces", 209, pp.551~571 (1997)
  12. "ed approach to generalized KKM maps in generalized convex spaces", 2, pp.157~166 (2001)

관련 논문AI추천

COMMENTS ON GENERALIZED R-KKM TYPE THEOREMS박세희대한수학회 · 대한수학회논문집2010 · 제25권 제2호Generalized KKM maps, maximal elements and almost fixed points김훈주, 박세희대한수학회 · 대한수학회지2007 · 제44권 제2호Fixed point theorems, section properties and minimax inequalities on $K$-$G$-convex spacesMircea Balaj대한수학회 · 대한수학회지2002 · 제39권 제3호Elements of the KKM theory on abstract convex spaces박세희대한수학회 · 대한수학회지2008 · 제45권 제1호Generalized KKM-type theorems for best proximity pointsHoonjoo Kim대한수학회 · 대한수학회보2016 · 제53권 제5호An extension of generalized vector quasi-variational inequality금상호, 김원규대한수학회 · 대한수학회논문집2006 · 제21권 제2호

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