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

Isik H., Turkoglu D.

MISKOLC MATHEMATICAL NOTES, cilt.17, sa.1, ss.365-379, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.18514/mmn.2016.1384
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.365-379
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.