Coupled fixed point theorems for (α, φ)g-contractive type mappingsin partially ordered G-metric spaces : Open Mathematics

摘要

In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupledcoincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. Theresults on fixed point theorems are generalizations of some existing results.We also give some examples to illustratethe usability of the obtained results.