CAJ | 학술논문

通过研究A-增生算子的性质,延伸了关于H-增生算子的预解算子概念到新的A-增生算子.通过进一步运用A-增生算子的预解算子技巧,考虑了一类新的关于A-增生算子的广义变分包含,并提出了一种Mann-型迭代算法来逼近此类广义变分包含的解.最后证明了新的一类广义变分包含解的存在性和唯一性,并讨论了由此Mann-型迭代算法产生的迭代序列的收敛特征.
통과연구A-증생산자적성질,연신료관우H-증생산자적예해산자개념도신적A-증생산자.통과진일보운용A-증생산자적예해산자기교,고필료일류신적관우A-증생산자적엄의변분포함,병제출료일충Mann-형질대산법래핍근차류엄의변분포함적해.최후증명료신적일류엄의변분포함해적존재성화유일성,병토론료유차Mann-형질대산법산생적질대서렬적수렴특정.
By studying the properties of A-accretive operator, the author extends the concept of resolvent operator associ-ated with the H-accretive operator to the new A-accretive operator. Furthermore the author considers a new class of generalized variational inclusions involving A-accretive operator and proposes a Mann-type iterative algorithra for approximating the solution of this class of generalized variational inclusions by using the resolvent operator technique for A-accretive operator. Finally, the exist-ence and uniqueness of the new class of generalized variational inclusions are proved and the convergence criteria of the iterative sequences generated by the Mann-type iterative algorithm is discussed.