一类新混合-似变分不等式解的存在性和唯一性  

Existence and Uniqueness of Solutions for a New Mixed Variational-Like Inequality

作　　者：李舜 谢祥俊[2] LI Shun;XIE Xiangjun(Chengdu Technological University,Chengdu 611730 China;School of Science,Southwest Petroleum Univercity,Chengdu 610500 China)

机构地区：[1]成都工业学院,四川成都611730 [2]西南石油大学理学院,四川成都610500

出　　处：《西华大学学报（自然科学版）》2021年第2期110-112,共3页Journal of Xihua University:Natural Science Edition

摘　　要：引入τ-η-g-余强制、ξ-η-g-松弛Lipschitz连续等概念,应用不动点技巧,研究了一类新混合-似变分不等式,证明了此类不等式解的存在、唯一性。This paper introduces the concepts of τ-η-g-cocoercive mapping and ξ-η-g-relaxed Lipschitz continuity, and further combines the fixed-point theorem to study a mixed variational-like inequality. Then the existence and uniqueness of the solution for this equality are proved.

关 键 词：混合-似变分不等式 τ-η-g-余强制 ξ-η-g-松弛Lipschitz连续 自反BANACH空间 

分 类 号：O177.91[理学—数学]