Coincidence-best proximity points for $m$-contraction pairs in convex metric spaces

Authors

  • Ali Abkar IKIU, Qazvin, Iran
  • Masoud Norouzian IKIU

DOI:

https://doi.org/10.30495/jme.v14i0.1053

Abstract

We generalise the notion of cyclic-noncyclic pairs by introducing the concept of $m$-contraction pairs in convex metric spaces. We shall then investigate the exixtence and convergence of coincidence-best proximity points, and finally, we will provide examples to illustrate the new findings.

 

 

 

Author Biographies

Ali Abkar, IKIU, Qazvin, Iran

Pure Mathematics, Professor

Masoud Norouzian, IKIU

PhD Student

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Published

2019-04-10

Issue

Section

Vol. 14, No. 1, (2020)