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Existence Results for Generalized Vector Quasi-Equilibrium Problems in Hadamard Manifolds

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The purpose of this article was to establish manifold versions of existence theorems for generalized vector quasi-equilibrium problems in locally compact and σ-compact spaces without any continuity assumption. The fixed-point… Click to show full abstract

The purpose of this article was to establish manifold versions of existence theorems for generalized vector quasi-equilibrium problems in locally compact and σ-compact spaces without any continuity assumption. The fixed-point theorem in a product Hadamard manifold is the key focus of our discussion. We further applied our theorems to saddle point and minimax problems.

Keywords: generalized vector; quasi equilibrium; existence; vector quasi; equilibrium problems

Journal Title: Axioms
Year Published: 2022

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