(<em>F, h</em>)-upper class type functions for cyclic admissible contractions in metric spaces

Abstract

In this paper, we introduce the notions of T-cyclic (α, β, H, F)-contractive mappings using a pair (F, h)-upper class functions type in order to obtain new common fixed point results in the settings of metric spaces. The presented results generalize and extend existing results in the literature.

Keywords

• common fixed point
• point of coincidence
• <i>t</i>-cyclic (<i>α，β</i>)-admissible mapping
• <i>t</i>-cyclic (<i>α，β，h，f</i>)-contractive mappings
• pair (<i>f，h</i>)-upper class