【摘要】 Ｃａｒｉｓｔｉ不动点定理不要求映象连续，故它在许多领域都能应用，在系统工程中，它被成功地应用于散逸动态系统的理论。１９８７年，史树中证明了它与Ｅｋｅ－ｌａｎｄ变分原理的等价性，１９８９年，张石生等提出集值的Ｃａｒｉｓｔｉ不动点定理，１９９４年，Ｊ．Ｓ．Ｕｍｅ等提出了这个定理的一些新推广。该文提出Ｃａｒｉｓｔｉ型混合不动点的新概念，建立了２个混合不动点定理和２个集值映象序列的公共混合不动点定理，该文的定理概括和推广了Ｃａｒｉｓｔｉ定理及其近期的重要推广，并能在系统工程中应用。更多还原

【Abstract】 Because the Caristis’s fixed point theorem does not require the continuity of the mapping,it finds applications in many fields,for system engineering,this theorem has been successfully applied in theorem of dissipative dynamical system.In 1987,S.L.Shi proved the iquvalence between this theorem and Ekeland’s variation principle,in 1989,S.S.Chang,etc,put forward set valued Caristi’s fixed point theorem,in 1994,J.S.Ume,etc,put forward some farther generalization of this theorem.This paper put forward the concept of Caristi type hybrid fixed point, gave two hybrid fixed point theorems and two common hybrid fixed point theorems of sequnces of set valued mappings,the theorems unity and extend Caristi’s theorem and some recent important generalizations,moreover they can be applied in system engineering.更多还原