Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

ALMOST FIXED POINT THEOREMS OF THE ZIMA TYPE

  • Kim, Jeong-Heon (Department of Mathematics Soongsil University) ;
  • Park, Se-Hie (National Academy of Sciences Korea and School of Mathematical Sciences Seoul National University)
  • Published : 2004.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, from the KKM theorem, we deduce almost fixed point theorems for convex-valued u.s.c. (or l.s.c.) multimaps satisfying certain conditions originated from Zima [19]. From these results, we obtain various fixed point theorems which extend a number of known results.

Keywords

References

  1. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. v.6 A short proof of a fixed point theorem in not necessarily locally convex spaces I. D. Arandelovic
  2. Math. Ann. v.142 A generalization of Tychonoff`s fixed point theorem K. Fan https://doi.org/10.1007/BF01353421
  3. Symposium on Infinite Dimensional Topology, Ann. of Math. Stud. no.69 Covering properties of convex sets and fixed point theorems in topological vector spaces K. Fan
  4. Nonlinear Anal. TMA v.5 Some fixed point and almost fixed point theorems for multivalued mappings in topological vector spaces O. Hadzic https://doi.org/10.1016/0362-546X(81)90060-2
  5. Bull. Acad. Polon. Sci. v.30 On Kakutani`s fixed point theorem in topological vector spaces O. Hadzic
  6. Lecture Notes in Math v.948 Fixed point theorems in not necessarily locally convex topological vector spaces O. Hadzic
  7. Fixed Point Theory in Topological Vector Spaces O. Hadzic
  8. Demonstratio Math. v.20 Some fixed point and coincidence point theorems for multivalued mappings in topological vector spaces O. Hadzic
  9. Indian J. Pure Appl. Math. v.27 Two almost fixed point theorems for multivalued mappings in topological vector spaces O. Hadzic
  10. Review of Research, Fac. Sci. v.10 Some fixed point theorems for multivalued mappings in topological vector spaces O. Hadzic;L. Gajic
  11. Math. Operationsforsch. u. Statist., ser. Optimization v.15 Some applacations of fixed point theorem for multivalued mappings on minimax problems in topological vector spaces O. Hadzic;L. Gajic https://doi.org/10.1080/02331938408842923
  12. J. Math. Anal. Appl. v.38 Fixed points of compact multifunctions C. J. Himmelberg https://doi.org/10.1016/0022-247X(72)90128-X
  13. Fund. Math. v.14 Ein Beweis des Fixpunktsatzes fur n- Dimensionale Simplexe B. Knaster;K. Kuratowski;S. Mazurkiewicz https://doi.org/10.4064/fm-14-1-132-137
  14. C.R. Acad. Sci. Paris Ser. I Math. v.310 Sur le principe KKM M. Lassonde
  15. Vietnam J. Math. v.27 Ninety years of the Brouwer fixed point theorem S. Park
  16. Topol. Methods Nonlinear Anal. v.16 The knaster-Kuratowski-Mazurkiewicz theorem and almost fixed points S. Park
  17. Acta Math. Vietnam v.25 Remarks on the Himmelberg-Idzik fixed point theorem S. Park;D.H. Tan
  18. Note Mat. v.12 Compact convex sets in non-locally convex linear spaces H. Weber
  19. Comment. Math. Prace Mat. v.19 On the Schauder`s fixed point theorem with respect to para-normed space K. Zima

Cited by

  1. Fixed point theory of multimaps in abstract convex uniform spaces vol.71, pp.7-8, 2009, https://doi.org/10.1016/j.na.2009.01.081
  2. A Unified Fixed Point Theory in Generalized Convex Spaces vol.23, pp.8, 2007, https://doi.org/10.1007/s10114-007-0947-3