3 citations · 3 across the 7 of their papers we have counts for
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The proximal point method and its two variants for monotone vector fields in Hadamard spaces
Parin Chaipunya, Fumiaki Kohsaka
We prove existence and convergence of sequences generated by the proximal point method and its two variants for monotone vector fields in Hadamard spaces. Before obtaining our resu…
A product of strongly quasi-nonexpansive mappings in Hadamard spaces
Wiparat Worapitpong, Parin Chaipunya, Poom Kumam +1
In this paper, we prove that the product of strongly quasi-nonexpansive -demiclosed mappings is also a strongly quasi-nonexpansive orbital -demiclosed mapping in Hadamard spa…
Variational principles using a non-symmetric non-triangular distance
Natthaya Boonyam, Parin Chaipunya, Poom Kumam
We consider Borwein-Preiss and Ekeland variational principles using distance functions that neither is symmetric nor enjoy the triangular inequality. All the given results rely exc…
Splitting Algorithms of Common Solutions Between Equilibrium and Inclusion Problems on Hadamard Manifolds
Konrawut Khammahawong, Poom Kumam, Parin Chaipunya
The aim of this article is to introduce an iterative algorithm for finding a common solution from the set of an equilibrium point for a bifunction and the set of a singularity of a…
Monotone vector fields and generation of nonexpansive semigroups in complete CAT(0) spaces
Parin Chaipunya, Fumiaki Kohsaka, Poom Kumam
In this paper, we discuss about monotone vector fields, which is a typical extension to the theory of convex functions, by exploiting the tangent space structure. This new approach…
Existence and Approximations for Order-Preserving Nonexpansive Semigroups over Spaces
Parin Chaipunya
In this paper, we discuss the fixed point property for an infinite family of order-preserving mappings which satisfy the Lipschitzian condition on comparable pairs. The underlying…