Search

Your search keyword '"Sintunavarat, Wutiphol"' showing total 511 results
Start Over Author "Sintunavarat, Wutiphol"
511 results on '"Sintunavarat, Wutiphol"'

9. On new existence of a unique common solution to a pair of non-linear matrix equations

Author

Garai, Hiranmoy, Dey, Lakshmi Kanta, Sintunavarat, Wutiphol, Som, Sumit, and Raha, Sayandeepa

Subjects
Mathematics - Functional Analysis
Abstract

The main goal of this article is to study the existence of a unique positive definite common solution to a pair of matrix equations of the form \begin{eqnarray*} X^r=Q_1 + \displaystyle \sum_{i=1}^{m} {A_i}^*F(X)A_i \mbox{ and } X^s=Q_2 + \displaystyle \sum_{i=1}^{m} {A_i}^*G(X)A_i \end{eqnarray*} where $Q_1,Q_2\in P(n)$, $A_i\in M(n)$ and $F,G:P(n)\to P(n)$ are certain functions and $r,s>1$. In order to achieve our target, we take the help of elegant properties of Thompson metric on the set of all $n \times n$ Hermitian positive definite matrices. To proceed this, we first derive a common fixed point result for a pair of mappings utilizing a certain class of control functions in a metric space. Then, we obtain some sufficient conditions to assure a unique positive definite common solution to the said equations. Finally, to validate our results, we provide a couple of numerical examples with diagrammatic representations of the convergence behaviour of iterative sequences.

Published
2020

10. Further comments on a fixed point theorem in the fractal space

Author

Van Dung, Nguyen and Sintunavarat, Wutiphol

Subjects
Mathematics - Functional Analysis, 47H10, 54H25
Abstract

In this paper, we give some further comments to the counterexample and the results of R.~K. Bisht in [R.~K. Bisht. \newblock {Comment on: A new fixed point theorem in the fractal space}. \newblock {\em Indag. Math. (N.S.)}, 29(2):819--823, 2018.]., Comment: 5 pages

Published
2019

11. Stability of Euler-Lagrange type cubic functional equations in quasi-Banach spaces

Author

Sintunavarat, Wutiphol, Van Dung, Nguyen, and Thanyacharoen, Anurak

Subjects
Mathematics - Functional Analysis
Abstract

In this paper, we study the generalized Hyers-Ulam stability of Euler-Lagrange type cubic functional equation of the form \begin{align*} 2mf(x + my) + 2f(mx - y) = (m^3 + m)[f(x+ y) + f(x - y)] + 2(m^4 - 1)f(y) \end{align*} for all $x,y \in X$, where $m$ is a fixed scalar such that $m \neq 0,1$, and $f$ is a map from a quasi-normed space $X$ to a quasi-Banach space $Y$ over the same field with $X$ by applying the alternative fixed point theorem.

Published
2019

12. On the Solution of Bush and Wilson’s Stochastic Model for Two-Choice Behavior of the Paradise Fish Approached by the Fixed-Point Method

Author

Turab, Ali, Sintunavarat, Wutiphol, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Giri, Debasis, editor, Raymond Choo, Kim-Kwang, editor, Ponnusamy, Saminathan, editor, Meng, Weizhi, editor, Akleylek, Sedat, editor, and Prasad Maity, Santi, editor

Published
2022
Full Text
View/download PDF

15. A New Initial Basis for Solving the Blending Problem Without Using Artificial Variables

Author

Boonmalert, Chinchet, Boonperm, Aua-aree, Sintunavarat, Wutiphol, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Vasant, Pandian, editor, Zelinka, Ivan, editor, and Weber, Gerhard-Wilhelm, editor

Published
2021
Full Text
View/download PDF

16. A New Integer Programming Model for Solving a School Bus Routing Problem with the Student Assignment

Author

Lekburapa, Anthika, Boonperm, Aua-aree, Sintunavarat, Wutiphol, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Vasant, Pandian, editor, Zelinka, Ivan, editor, and Weber, Gerhard-Wilhelm, editor

Published
2021
Full Text
View/download PDF

21. On new stability results for composite functional equations in quasi-β-normed spaces

Author

Thanyacharoen Anurak and Sintunavarat Wutiphol

Subjects
additive functional equations, composite functional equations, composite s-functional inequalities, quasi-β-normed spaces, 39b32, 30d05, 47h10, 46h25, Mathematics, QA1-939
Abstract

In this article, we prove the generalized Hyers-Ulam-Rassias stability for the following composite functional equation: f(f(x)−f(y))=f(x+y)+f(x−y)−f(x)−f(y),f(f\left(x)-f(y))=f\left(x+y)+f\left(x-y)-f\left(x)-f(y), where ff maps from a (β,p)\left(\beta ,p)-Banach space into itself, by using the fixed point method and the direct method. Also, the generalized Hyers-Ulam-Rassias stability for the composite ss-functional inequality is discussed via our results.

Published
2021
Full Text
View/download PDF

25. The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces

Author

Thanyacharoen Anurak and Sintunavarat Wutiphol

Subjects
non-archimedean normed spaces, linear functionals, functional equations, 39b52, 39b55, 39b72, 47h10, 46h25, Mathematics, QA1-939
Abstract

In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]+12f(2y),where f maps from an additive group to a complete non-Archimedean normed space.

Published
2020
Full Text
View/download PDF

27. Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz

Author

Aiemsomboon Laddawan and Sintunavarat Wutiphol

Subjects
fixed point method, orthogonally generalized quadratic functional equation, stability, primary 39b52, 39b55, 39b72, secondary 47h10, 46h25, Mathematics, QA1-939
Abstract

Let (X, ⊥) be an orthogonality module in the sense of Rätz over a unital Banach algebra A and Y be a real Banach module over A. In this paper, we apply the alternative fixed point theorem for proving the Hyers-Ulam stability of the orthogonally generalized k-quadratic functional equation of the form

Published
2019
Full Text
View/download PDF

47. Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions

Author

Sawangsup Kanokwan and Sintunavarat Wutiphol

Subjects
altering distance functions, transitive relations, weak altering distance functions, 47h10, 54h25, Mathematics, QA1-939
Abstract

The aim of this work is to introduce the notion of weak altering distance functions and prove new fixed point theorems in metric spaces endowed with a transitive binary relation by using weak altering distance functions. We give some examples which support our main results where previous results in literature are not applicable. Then the main results of the paper are applied to the multidimensional fixed point results. As an application, we apply our main results to study a nonlinear matrix equation. Finally, as numerical experiments, we approximate the definite solution of a nonlinear matrix equation using MATLAB.

Published
2017
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results