MISKOLC MATHEMATICAL NOTES, vol.17, no.1, pp.365-379, 2016 (SCI-Expanded)
Article / Article
MISKOLC MATHEMATICAL NOTES
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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:
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.