Fixed Point Theorems of Mixed Monotone Operator

Abstract

Abstract: Using the cone theory and non-symmetric iteration method,the author studies the existence and uniqueness of solutions to a class of anti-monotone operator equations in Banach spaces.And the iteration sequences which converge to solution of operator equations and the error
estimates are also given.The results presented improve and generalize some corresponding results for mixed monotone operator.

Key words: non-symmetric iteration, anti-mixed monotone operator, normal cone, fixed point

LUAN Shi-Xia, SUN Qin-Fu, ZHAO Yan-Ling. Fixed Point Theorems of Mixed Monotone Operator[J]. journal6, 2008, 29(1): 7-9.

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Fixed Point Theorems of Mixed Monotone Operator

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