on some f - contraction of piri–kumam–dung–type mappings in metric spaces

Introduction/purpose: this paper establishes some new results of piri-kumam-dung-type mappings in a complete metric space.the goal was to improve the already published results. methods: using the property of a strictly increasing function as well as the known lemma formulated in (radenović et al, 2017), the authors have proved that a picard sequence is a cauchy sequence. results: new results were obtained concerning the f-contraction mappings of s in a complete metric space. to prove it, the authors used only property (w1). conclusion:the authors believe that the obtained results represent a significant improvement of many known results in the existing literature.