Some Fixed Point Theorems For Berinde-Type Contraction Mappings On Gp-Metric Spaces

In this paper, we define the concepts of (δ, 1 − δ)-weak contraction, (φ , 1 − δ)-weak contraction and Ćirić-type almost contraction in the sense of Berinde in Gp-complete Gp-metric space. Furthermore, we prove the existence of fixed points and common fixed points of mappings satisfying Berinde-type contractions stated above and also provide the conditions which are necessary for the uniqueness of the fixed points and common fixed points. Consequently, we obtain the generalizations of comparable results in the literature. In addition, we introduce a few examples which ensure the existence of these attained results.