【摘要】 讨论了一类а-t型凹凸混合单调算子,给出了其存在唯一不动点的充分必要条件,涵盖了相关文献的部分工作,弥补了以往只给出充分条件的局限性,对文献中的相关工作做了本质性的改进;同时,本文在算子非紧非连续,锥非正规的假设条件下,建立了一般混合单调算子的不动点唯一存在定理,推广了已有的结果.更多还原

【Abstract】 A class of mixed monotone operators with а-type convexity and concavity has been discussed.The necessary and sufficient condition for existence and unigueness of the fixed poimts is given,which generalized the results in relevant literatures.Some fixed poimt the orems of general mixedmonotne operators are established without the cone to be normal,which extend the previows results.更多还原