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

LI Shun; XIE Xiangjun

doi:10.12198/j.issn.1673-159X.3454

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LI Shun, XIE Xiangjun. Existence and Uniqueness of Solutions for a New Mixed Variational-Like Inequality[J]. Journal of Xihua University（Natural Science Edition）, 2021, 40（2）: 110 − 112. DOI: 10.12198/j.issn.1673-159X.3454

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LI Shun, XIE Xiangjun. Existence and Uniqueness of Solutions for a New Mixed Variational-Like Inequality[J]. Journal of Xihua University（Natural Science Edition）, 2021, 40（2）: 110 − 112. DOI: 10.12198/j.issn.1673-159X.3454

Citation:

LI Shun, XIE Xiangjun. Existence and Uniqueness of Solutions for a New Mixed Variational-Like Inequality[J]. Journal of Xihua University（Natural Science Edition）, 2021, 40（2）: 110 − 112. DOI: 10.12198/j.issn.1673-159X.3454

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

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This paper introduces the concepts of \tau - \eta - g - cocoercive mapping and \xi - \eta - 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.

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

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