Cyclic admissible contraction and applications to functional equations in dynamic programming

Isik H., Samet B., Vetro C.

FIXED POINT THEORY AND APPLICATIONS, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1186/s13663-015-0410-6
  • Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: common fixed point, point of coincidence, T-cyclic (alpha, beta)-admissible mapping, weakly compatible mappings, functional equations, FIXED-POINT THEOREMS, ORDERED METRIC-SPACES, MAPPING PRINCIPLE, (ALPHA
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the notion of T-cyclic (alpha, beta)-contraction and give some common fixed point results for this type of contractions. The presented theorems extend, generalize, and improve many existing results in the literature. Several examples and applications to functional equations arising in dynamic programming are also given in order to illustrate the effectiveness of the obtained results.