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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.2
- 발행연도
- 2019.1
- 수록면
- 327 - 337 (11page)
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In this paper, we first prove a generalization of Fan-Browder type fixed point theorem for multimaps on a geodesic convex subset in a Hadamard manifold due to Kim [5], and next we will prove general existence theorems of Nash equilibrium for generalized gamesG with geodesic convex values in Hadamard manifolds.
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참고문헌 (13)
참고문헌 신청
K. C. Border / 1985 / Fixed Point Theorems with Applications to Economics and Game Theory / Cambridge University Press
F. E. Browder / 1968 / The fixed point theory of multi-valued mappings in topological vector spaces / Math. Ann 177:283~301
V. Colao / 2012 / Equilibrium problems in Hadamard manifolds / J. Math. Anal. Appl 388:61~77
G. Debreu / 1952 / A social equilibrium existence theorem / Proc. Nat. Acad. Sci. U. S. A 38:886~893
W. K. Kim / 2018 / Fan-Browder type fixed point theorems and applications in Hadamard manifolds / Nonlinear Funct. Anal. Appl 23:117~127
F. E. Browder / 1968 / The fixed point theory of multi-valued mappings in topological vector spaces / Math. Ann 177:283~301
V. Colao / 2012 / Equilibrium problems in Hadamard manifolds / J. Math. Anal. Appl 388:61~77
G. Debreu / 1952 / A social equilibrium existence theorem / Proc. Nat. Acad. Sci. U. S. A 38:886~893
W. K. Kim / 2018 / Fan-Browder type fixed point theorems and applications in Hadamard manifolds / Nonlinear Funct. Anal. Appl 23:117~127
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