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

  • Publication Type: Article / Article
  • Publication Date: 2015
  • Doi Number: 10.1186/s13663-015-0410-6
  • Journal Name: FIXED POINT THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: 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 University Affiliated: Yes

Abstract

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.