Rose Maluleka, Godwin C. Ugwunnadi, Christian C. Okeke, Maggie Aphane, On pseudomonotone equilibrium and fixed point problems in Hadamard spaces with applications, Vol. 2024 (2024), Article ID 7, pp. 1-18

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DOI: 10.23952/jnfa.2024.7

Received October 19, 2023; Accepted March 23, 2024; Published April 10, 2024

 

Abstract. 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.

 

How to Cite this Article:
R. Maluleka, G.C. Ugwunnadi, C.C. Okeke, M. Aphane, On pseudomonotone equilibrium and fixed point problems in Hadamard spaces with applications, J. Nonlinear Funct. Anal. 2024 (2024) 7.