11 citations · 22 across the 15 of their papers we have counts for
15 papers
A Practical Approach to Quasi-convex Optimization
Sompong Dhompongsa, Poom Kumam
A new and simple method for quasi-convex optimization is introduced from which its various applications can be derived. Especially, a global optimum under constrains can be approxi…
A practical approach to optimization
Sompong Dhompongsa, Wachirapong Jirakitpuwapat, Konrawut Khammahawong +1
We present a new approach for finding a minimal value of an arbitrary function assuming only its continuity. The process avoids verifying Lagrange- or KKT-conditions. The method en…
Lefschetz numbers and fixed point theory in digital topology
Muhammad Sirajo Abdullahi, Poom Kumam, P. Christopher Staecker
In this paper, we present two types of Lefschetz numbers in the topology of digital images. Namely, the simplicial Lefschetz number and the cubical Lefschetz number $\bar L(…
Iterative algorithm with structured diagonal Hessian approximation for solving nonlinear least squares problems
Aliyu Muhammed Awwal, Poom Kumam, Hassan Mohammad
Nonlinear least-squares problems are a special class of unconstrained optimization problems in which their gradient and Hessian have special structures. In this paper, we exploit t…
Coincidence and Self-coincidence of Many Maps between Digital Images
Muhammad Sirajo Abdullahi, Poom Kumam, Isah Abor Garba
The aim of this paper is to generalize some of the properties and results regarding both the coincidence point set and the common fixed point set of any two digitally continuous ma…
Coincidence Point Sets in Digital Topology
Muhammad Sirajo Abdullahi, Poom Kumam, Jamilu Abubakar
In this article, we investigate some properties of the coincidence point set of digitally continuous maps. Following the Rosenfeld graphical model which seems more combinatorial th…
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…
Approximating Fixed points of Bregman Generalized -nonexpansive mappings
K. Muangchoo, P. Kumam, Y. J. Cho +1
In this paper, we introduce a new class of Bregman generalized -nonexpansive mappings in terms of Bregman distances, and investigate the Ishikawa and Noor iterations for these m…
Weak partial -metric space and Nadler's theorem
Tanzeela Kanwal, Azhar Hussain
We study the notions of weak partial -metric space and weak partial Hausdorff -metric space. Moreover, we intend to generalize Nadler's theorem in weak partial -metric spa…
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…
JH$\im$-suboperator pairs with application to invariant approximation by using C-class functions
Bahman Moeini, Arslan Hojat Ansari, Poom Kumam
In this paper, by using C-class functions some results and common fixed point theorems are established for generalized JH-operator pairs of Sintu- navarat and Kumam (Journal of Ine…
Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations
Plern Saipara, Poom Kumam, Yeol Je Cho
In this paper, we prove some random fixed point theorems for Hardy-Rogers self-random operators in separable Banach spaces and, as some applications, we show the existence of a sol…
A generalization of Ćirić fixed point theorem
Nguyen Van Dung, Poom Kumam, Kanokwan Sitthithakerngkiet
In this paper, we state and prove a generalization of Ćirić fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well…
Random consensus in nonlinear systems under fixed topology
Radha F. Gupta, Poom Kumam
This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis,…