Best proximity point theorems for KT-types cyclic orbital contraction mappings

Karapinar E., Petruşel G., TAŞ K.

Fixed Point Theory, vol.13, no.2, pp.537-546, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2012
  • Journal Name: Fixed Point Theory
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.537-546
  • Keywords: Best proximity points, Cyclic contraction, Cyclic orbital Meir-Keeler contraction, KTi-types cyclic orbital contractions
  • Uşak University Affiliated: No

Abstract

In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.