M. Liu, S.S. Chang, J.H. Zhu, X.R. Li, A general shrinking projection algorithm on Hadamard manifolds, Vol. 2026 (2026), No. 28, pp. 1-12

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DOI: 10.23952/jnfa.2026.28

Received September 4, 2026; Accepted October 10, 2026; Published November 4, 2026

 

Abstract. In this paper, we introduce a general shrinking projection algorithm for solving a finite family of generalized equilibrium problem, a finite family of quasi-variational inclusion problems and a fixed point problem of quasi-pseudo-contractive mappings on Hadamard manifolds. Under suitable conditions, we prove that the sequence generated by our proposed algorithm converges to a common solution of the three problems. Our results extend some recent results in literature.

 

How to Cite this Article:
M. Liu, S.S. Chang, J.H. Zhu, X.R. Li, A general shrinking projection algorithm on Hadamard manifolds, J. Nonlinear Funct. Anal. 2026 (2026) 28.