【摘要】 利用锥理论和单调迭代方法,本文在更广泛的条件下得到了一般Banach空间中的混合单调算子方程组解的存在唯一性定理,进一步得到了混合单调、增、减算子新的不动点的存在唯一性定理。本文结果一方面改进并推广了最近的一些已知结果,另一方面本文所给的条件在实际应用中更便于检验。最后给出了一个应用,以检验本文所得结果。更多还原

【Abstract】 By using the monotone iterative method and theory of cone, the existence and uniqueness of solutions for mixed monotone operator equations in Banach space are studied under more general conditions. Moreover, some new results about mixed monotone, increasing and decreasing operators are obtained. On the one hand, many recent results have been generalized and improved by our results, on the other hand, the conditions listed in this paper are easier to test. Finally, an application is given.更多还原