公共最佳逼近点定理

Common Best Proximity Points Theorems

中文关键词:  公共最佳逼近点  广义近端支配映射  公共不动点

英文关键词:common best proximity point  generally proximally dominating mappings  common fixed points

中文摘要:

      本文证明了一组非自映射的公共最佳逼近点的存在与唯一性定理.同时,给出了相应例子说明本文所得的定理结果,该结论推广了Sadiq Basha, A. Amini-Harandi及Geraghty等作者的研究结论.

英文摘要:

      In this paper, an existence and uniqueness common best proximity point theorem for a pair of non-self mappings was proved. Moreover, an example is given to support our main result, which generalized some well-known results of Sadiq Basha, A.Amini-Harandi and Geraghty and so on.