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A Halpern type iteration with multiple anchor points in complete geodesic spaces with negative curvature

A Halpern type iteration with multiple anchor points in complete geodesic spaces with negative curvature

In this paper, we define a new convex combination on a geodesic space with negative curvature, and show that an iterative sequence generated by using that convex combination converges to a common fixed point of mappings minimizing the specific function of that space.