GENERALIZED WEAKLY alpha-CONTRACTIVE MAPPINGS AND APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS


Isik H., Turkoglu D.

MISKOLC MATHEMATICAL NOTES, vol.17, no.1, pp.365-379, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.18514/mmn.2016.1384
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.365-379
  • Keywords: common fixed point, point of coincidence, generalized weakly alpha-contraction, weakly compatible mappings, two point boundary value problem, FIXED-POINT THEOREMS, PARTIALLY ORDERED SETS
  • Gazi University Affiliated: Yes

Abstract

In this paper, we introduce the notion of generalized weakly alpha-contractive mappings and give some common fixed point results for this type of contraction. The presented theorems extend, generalize and improve many existing results in the literature. Two examples as well as an application to ordinary differential equations are also given in order to illustrate the effectiveness of the obtained results.