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Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces

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The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in… Click to show full abstract

The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive mapping. Further, we employ the general Picard–Mann iterative method to approximate fixed points of nonexpansive mappings under various conditions. We obtain certain theorems concerning Δ and strong convergence.

Keywords: geodesic spaces; approximating solutions; via fixed; solutions optimization; problems via; optimization problems

Journal Title: Axioms
Year Published: 2022

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