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Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces
Fixed Point Theory and Applications Pub Date : 2018-08-06 , DOI: 10.1186/s13663-018-0643-2
Victoria O. Olisama , Johnson O. Olaleru , Hudson Akewe

The Hardy–Rogers p-proximal cyclic contraction, which includes the cyclic, Kannan, Chatterjea and Reich contractions as sub-classes, is developed in uniform spaces. The existence and uniqueness results of best proximity points for these contractions are proved. The results, which are for non-self maps, apart from the fact that they are new in literature, generalise several other similar results in literature. Examples are given to validate the results obtained.

中文翻译:

均匀空间中Hardy-Rogers p-近循环收缩的最佳邻近点结果

Hardy-Rogers p近邻循环收缩,包括循环收缩,Kannan收缩,Chatterjea收缩和Reich收缩作为子类,在统一空间中发展。证明了这些收缩的最佳邻近点的存在性和唯一性结果。这些结果适用于非自已地图,除了它们在文学中是新事物之外,还对文学中的其他一些相似结果进行了概括。举例说明了所获得的结果。
更新日期:2018-08-06
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