Parametric solution of legendre ' s equation 方程的參數(shù)解
One is , based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory , to research the existence of solutions , global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping . two is to consider the convexity , closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory . three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions 研究分有三個方面:一是借助于偏序理論在有限維歐氏空間中解決了上述公開問題,在此基礎(chǔ)上利用集值映射的-預(yù)解算子,研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數(shù)唯一解的靈敏性,并提出了一類變參數(shù)三步迭代算法;二是借助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數(shù)解集的靈敏性;三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性并提出了一類求解廣義集值變分包含問題的直接變參數(shù)三步迭代算法。