Iterative approximation of common solution of variational inequality and certain optimization problems with multiple output sets in Hadamard space
Abstract
In this paper, our main interest is to propose a viscosity iterative method for approximating solutions of variational inequality problems, resolvents of monotone operators and fixed points of ρ-demimetric mappings with multiple output sets in Hadamard spaces. We prove a strong convergence result for approximating the solutions of the aforementioned problems under some mild conditions. Also, we present an application of our main result to a convex minimization problem. Our results improve and generalize many related results in the literature.
References
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Articles in the same Issue
- Frontmatter
- On some generalized Simpson type inequalities for (α,m)-coordinated convex functions in context of q 1 q 2-calculus
- Characterization of lacunary ℐ-convergent sequences in credibility space
- Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform
- Iterative approximation of common solution of variational inequality and certain optimization problems with multiple output sets in Hadamard space
- Consequences of an infinite Fourier cosine transform-based Ramanujan integral
- Deferred 𝜎-statistical summability in intuitionistic fuzzy 𝑟-normed linear spaces
- A relaxation theorem for a first-order set differential inclusion in a metric space
- η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds
Articles in the same Issue
- Frontmatter
- On some generalized Simpson type inequalities for (α,m)-coordinated convex functions in context of q 1 q 2-calculus
- Characterization of lacunary ℐ-convergent sequences in credibility space
- Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform
- Iterative approximation of common solution of variational inequality and certain optimization problems with multiple output sets in Hadamard space
- Consequences of an infinite Fourier cosine transform-based Ramanujan integral
- Deferred 𝜎-statistical summability in intuitionistic fuzzy 𝑟-normed linear spaces
- A relaxation theorem for a first-order set differential inclusion in a metric space
- η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds