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In this paper, we introduce a fixed point index of weakly
inward 1-set-contraction mappings. With the aid of the new index, we
obtain some new fixed point theorems, nonzero fixed point theorems
and multiple positive fixed points for this class of mappings. As an
application of nonzero fixed point theorems, we discuss an
eigenvalue problem.
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참고문헌 (23)
참고문헌 신청
B. Halpern / 1968 / A fixed-point theorem for inward and outward maps / Transactions of the American Mathematical Society 130 : 353 ~ 358
D. Guo / 1988 / Nonlinear Problems in Abstract Cones / Academic Press, Inc.
G. Li / 1988 / The fixed-point index and the fixed-point theorems of 1-set-contraction mappings / Proc. Amer. Math. Soc. : 1163 ~ 1170
G. Li / 2006 / Fixed point theorems of 1-set-contractive operators in Banach spaces / Applied Mathematics Letters 19 (5) : 403 ~ 412
H. Amann / 1976 / Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces / SIAM Review 18 (4) : 620 ~ 709
D. Guo / 1988 / Nonlinear Problems in Abstract Cones / Academic Press, Inc.
G. Li / 1988 / The fixed-point index and the fixed-point theorems of 1-set-contraction mappings / Proc. Amer. Math. Soc. : 1163 ~ 1170
G. Li / 2006 / Fixed point theorems of 1-set-contractive operators in Banach spaces / Applied Mathematics Letters 19 (5) : 403 ~ 412
H. Amann / 1976 / Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces / SIAM Review 18 (4) : 620 ~ 709
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