opGERAGHTY CONTRACTIVE MAPPINGS AND FIXED POINT THEOREMS IN b_2-METRIC SPACES

. In 2014, Zead Mustafa introduced b_2-metric space, as a generalization of both 2-metric and b-metric spaces. Then new fixed point results for classes of rational Geraghty contractive mapping of type I,II and III in the setup of b_2-metric spaces are investigated. Then, we prove some fixed point theorems under Geraghty-type conditions in partially ordered b_2-metric spaces Berinde in [7]- [8] initiated the concept of almost contractions and obtained many interesting fixed point theorems