Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

FIXED POINTS OF BETTER ADMISSIBLE MAPS ON GENERALIZED CONVEX SPACES

  • Park, Se-Hie (Department of Mathematics, Seoul National University)
  • Published : 2000.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

We obtain generalized versions of the Fan-Browder fixed point theorem for G-convex spaces. We define the class B of better admissible multimaps on G-convex spaces and show that any closed compact map in b fro ma locally G-convex uniform space into itself has a fixed point.

Keywords

References

  1. J. Math. Anal. Appl. v.222 Abstract convexity and fixed points. H-Ben-EI-Mechaiekh;S. Chebbi;M. Florenzano;J. Llinares
  2. Math. Ann. v.177 The fixed point theory of multivalued mappings in topological vector spaces F.E. Browder
  3. J. Math. Anal. Appl. v.203 KKM Property and fixed point theorems T.-H. Chang;C.-L. Yen
  4. J. Math. Anal. Appl. v.38 Fixed points of compact multifunctions C.J. Himmelberg
  5. J. Math. Anal. Appl. v.156 Contractibility and generalized convexity C.D. Horvath
  6. Ann. Fac. Sci. Toulouse v.2 Extension and selection theorems in topological spaces with a generalized convexity structure
  7. J. Korean Math. Soc. v.35 Fixed point theorems on generalized convex spaces H. Kim
  8. Numer. Funct. Anal. Optimiz v.4 Krasnoselskii's iteration process in hyperbolic spaces W.A. Kirk
  9. Acta Univ. Carolinae-Math. et Phys. v.38 no.2 The Schauder fixed point theorem W. Kulpa
  10. Discuss. Math. Differential Incl. v.18 Coincidence theorems for set-valued maps with G-KKM property on generalized convex spaces L.-J. Lin;C.-J. Ko;S. Park
  11. Fixed Point Theory and Applications Some coincidence theorems on a cyclic multifunctions and applications to KKM theory Sehie Park;K.-K. Tan(ed.)
  12. Lect. Notes Ser. v.28 Eighty years of the Brouwer fixed point theorem, Antipodal Points and Fixed Points J. Jaworowski;W.A. Kirk;S. Park
  13. World Congress of Nonlinear Analysts '96-Proceedings;Nonlinear Anal. v.30 Coincidence theorems for the better admissible multimaps and their applications V. Lakshimikantham(ed.)
  14. Math. Sci. Res. Hot Line v.1 no.9 Fixed points of the better admissible multimaps
  15. J. Korean Math. Soc. v.35 A unified fixed point theory of multimaps on topological vector spaces
  16. ibid v.36 Corrections
  17. Nonlinear Funct. Anal. Appl. v.2 Five episodes related to generalized convex spaces
  18. Numer. Funct. Anal. Optimiz. v.25 Continuous selection theorems in generalized conver spaces
  19. Fixed Point Theory and Applications New subclasses of generalized convex spaces Y.J. Cho(ed.)
  20. Fixed Point Theory and Applications Remarks on fixed point theorems for generalized convex spaces Y.J. Cho(ed.)
  21. J. Math. Anal. Appl. v.235 Fixed points of lower semicontinuous multimaps in LC-metric spaces
  22. Vietnam J. Math. v.27 Ninety years of the Brouwer fixed point theorem
  23. Korean J. Comput. Appl. Math. v.7 Elements of the KKM theory for generalized convex spaces
  24. Nonlinear Anal., to appear. Fixed point theorems in locally G-convex spaces
  25. to appear Remarks on topologies of generalized convex spaces
  26. J. Korean Math. Soc. v.32 Coincidences of composites of u.s.c. maps on H-spaces and applications S. Park;H. Kim
  27. Proc. Coll. Natur. Sci. Seoul Nat. Univ. v.18 Admissible classes of multifunctions on generalized convex spaces
  28. J. Math. Anal. Appl. v.197 Coincidence theorems for admissible multifunctions on generalized convex spaces
  29. J. Math. Anal. Appl. v.209 Foundations of the KKM theory on generalized convex spaces
  30. Ind. J. Pure Appl. Math. v.29 Generalizations of the KKM type theorems on generalized convex spaces
  31. J. Korean Math. Soc. v.36 Coincidence theorems in a product of generalized convex spaces and applications to equilibria
  32. Nonlinear Anal. Forum v.5 Generalized KKM maps on generalized convex spaces
  33. Nonlinear Anal. v.15 Nonexpansive iteration in hyperbolic spaces S. Reich;I. Shafrir
  34. Nonlinear Funct. Anal. Appl. v.1 Fixed point theorems on G-convex spaces and applications K.-K. Tan;X.-L. Zhang
  35. Nonlinear Anal. v.29 Fixed points theorems in locally H-convex uniform spaces E. Tarafdar
  36. Bull. Australian Math. Soc. v.58 Fixed points of upper semicontinuous mappings in locally G-convex spaces G. X.-Z. Yuan