Best proximity points for alternative p-contractions

Mi Zhou, Nicolae Adrian Secelean, Naeem Saleem*, Mujahid Abbas*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Cyclic 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.

Original languageEnglish
Article number4
JournalJournal of Inequalities and Applications
Issue number1
Publication statusPublished - 2024
Externally publishedYes


  • Alternative UC property
  • Alternative p-contraction
  • Best proximity point


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