一类非紧减算子方程解的存在性

The existence of the solutions of some noncompact decreasing operator equations

利用锥与半序理论无需考虑任何紧性或连续性条件 ,研究了一类具有凹 (凸 )性的减算子方程Ax =x解的存在性 .所得结果改进和推广了凹 (凸 )

By using the cone and partial ordering theory without regarding any continuity and compactness conditions,In this paper it studiws the existence of the solution of the concave (convex)decreasing operator Equation A x=x.The results presented here improve and generalize some corresponding results for concave(convex)decreasing operator equations.