广义近端ψ压缩非自映射的最佳逼近点定理

Best Proximity Point Theorems for Generalized Proximal ψ-contractive Non-self Mapping

介绍了广义近端ψ收缩非自映射的概念,给出了关于该非自映射的最佳逼近点定理,并建立了算法用于求解近端映射的近似解,最后通过举例证明所得结果.所得结果推广了相关文献的结论,有关自映射的最佳逼近点定理是文中结论的一个特殊情况.

The concept of generalized proximal ψ-contraction non-self mapping is introduced in this paper,and best proximity point theorem for the generalized proximal contraction is given. Moreover,an algorithm is exhibited to determine such an optimal approximate solution.An example is also given to support the main results.The results obtained in the paper generalize the conclusions of the relevant literature.The best proximity point theorem of self-mapping is a special case of the conclusion of this paper.