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

Karapinar E., Petruşel G., TAŞ K.

Fixed Point Theory, cilt.13, sa.2, ss.537-546, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2012
  • Dergi Adı: Fixed Point Theory
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.537-546
  • Anahtar Kelimeler: Best proximity points, Cyclic contraction, Cyclic orbital Meir-Keeler contraction, KTi-types cyclic orbital contractions
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.