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20182026
most citedEquilibrium Problems and Proximal Algorithms in Hadamard Spaces

11 citations · 14 across the 12 of their papers we have counts for

collaborators

13 papers

math.OC2026

Optimal class scheduling with minimum distributed vacant seats using binary linear programming

Ohmchana Klinsod, Parin Chaipunya

In this paper, we propose a mathematical model for class scheduling using binary linear programming with the aims to automate the tedious task and to minimize the leftover seats di…

math.FA2026

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…

eess.SY2025

A Stackelberg Game of Demand Response from the Aggregator's Perspective

Seangleng Khe, Parin Chaipunya, Athikom Bangviwat

In this paper, we investigate on the modeling of demand response activities between the single aggregator and multiple participating consumers. The model incorporates the bilevel s…

math.OC2025

A self-adaptive subgradient extragradient method with conjugate gradient-type direction for pseudomonotone variational inequalities

Ibrahim Arzuka, Parin Chaipunya, Poom Kumam

This paper introduces a subgradient extragradient algorithm with a conjugate gradient-type direction to solve pseudomonotone variational inequality problems in Hilbert spaces. The…

math.FA2025

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…

math.FA2025

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…

math.OC2025

An existence theorem for single leader multi-follower games with direct preference maps

Yutthakan Chummongkhon, Poom Kumam, Parin Chaipunya

This paper concerns with an existence of a solution for a single leader multi-follower game (SLMFG), where the followers jointly solve an abstract economy problem. Recall that an a…

math.OC2025

KKT Reformulations for Single Leader and Multi-Follower Games

Parin Chaipunya, Thirumulanathan D, Joydeep Dutta

We consider a bilevel optimization problem having a single leader and multiple followers. The followers choose their strategies simultaneously, and are assumed to converge to a Nas…

math.OC2024

Variational and quasi-variational inequalities under local reproducibility: solution concept and applications

Didier Aussel, Parin Chaipunya

Local solutions for variational and quasi-variational inequalities are usually the best type of solutions that could practically be obtained when in case of lack of convexity or el…

math.FA2019★ 3 cited

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…

math.FA2019

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…

math.FA2018

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…

math.OC2018★ 11 cited

Equilibrium Problems and Proximal Algorithms in Hadamard Spaces

Poom Kumam, Parin Chaipunya

In this paper, we consider the equilibrium problems and also their regularized problems under the setting of Hadamard spaces. The solution to the regularized problem is represented…