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PDF(464 KB)
PDF(464 KB)
半序Menger PM-空间中广义弱压缩映射的最佳逼近点定理
Best Proximity Point Theorems for Generalized Weak Contractive Mappings in Partially Ordered Menger PM-spaces
本文利用三个控制函数给出了半序Menger PM-空间中满足特定条件的广义弱压缩映射的最佳逼近点定理，并给出了最佳逼近点唯一的充分条件.进一步地，还给出了主要结果的一些推论.
In this paper, some best proximity point theorems for generalized weakly contractive mappings which satisfy certain conditions by using three control functions in partially ordered Menger PM-spaces are obtained, and sufficient conditions to guarantee the uniqueness of the best proximity points are also given. Moreover, some corollaries are derived as consequences of the main results.
Menger PM-空间 / 半序 / 广义弱压缩映射 / 最佳逼近点 {{custom_keyword}} /
Menger PM-space / partial order / generalized weak contractive mapping / best proximity point {{custom_keyword}} /
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国家自然科学基金资助项目（11701259，11461045，11771198，11361042）；江西省自然科学基金资助项目（20202BAB201001）
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