On pseudomonotone equilibrium and fixed point problems in Hadamard spaces with applications

Journal of Nonlinear Functional Analysis · 2024

In this paper, we introduce a hybrid extragradient method for approximating a common solution of a finite family of equilibrium problems associated with pseudomonotone bifunctions and a fixed point problem of a generalized demimetric mapping.Under suitable conditions, we prove a strong convergence theorem in Hadamard spaces.Finally, in order to further support our main results, we provide a numerical experiment and an example of a pseudomonotone bifunction in Hadamard spaces.

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