New Fixed Point Theorems for a Class of Non-Mixed Monotone Operators

Abstract

Abstract: By using the cone theory and non-symmetry iteration method,the existence and uniqueness of solutions of non-mixed monotone operator equations without monotonicity,continuity and compactness conditions are studied,and the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results improve and generalize some known results of mixed monotone operator equation.

Key words: cone and partial, normal cone, mixed monotone operator equations, fixed point

SUN Qin-Fu, GAO Tao, LIU Yuan-Jian, ZHAO Yan-Ling. New Fixed Point Theorems for a Class of Non-Mixed Monotone Operators[J]. journal6, 2008, 29(3): 5-7.

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New Fixed Point Theorems for a Class of Non-Mixed Monotone Operators

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