Author:
Zhou Mi,Secelean Nicolae Adrian,Saleem Naeem,Abbas Mujahid
Abstract
AbstractCyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constitute a suitable framework for the mirror reflection model. Alternative contraction mappings introduced by Chen (Symmetry 11:750, 2019) built a new model containing several mirrors in which the light reflected from a mirror does not go to the next mirror sequentially, and its path may diverge to any other mirror. The aim of this paper is to present a new variant of alternative contraction called alternative p-contraction and study its properties. The best proximity point result for such contractions under the alternative UC property is proved. An example to support the result proved herein is provided.
Funder
Key Research and Development Project of Hainan Provincial Natural Science Foundation
High Level Project of Hainan Provincial Natural Science Foundation
Key Special Project of University of Sanya
Sanya City Science and Technology Innovation Special Project
Publisher
Springer Science and Business Media LLC
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