Title Generalized β − γ–contractive mappings of integral type in CAT(0) Spaces Type of Research Article Keywords β − γ-contractive of integral type, CAT(0) space, Δ-convergence, iterative algorithm, fixed point. Abstract This research studies a new iterative algorithm for approximating fixed points of generalized β−γ-contractive mappings of integral type. It investigates the existence of fixed points for these mappings in CAT(0) spaces. We prove a Δ-convergence theorem under appropriate conditions. The obtained result extends some recent results stated by many others. Also, an example for clarity of obtained results is given. Researchers Mansoureh Siahkali Moradi (First Researcher)، Hojjat Afshari (Second Researcher)، Mohammad Ilmakchi (Third Researcher)