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3,046 results on '"Kumam, Poom"'

151. Fixed point properties and Q-nonexpansive retractions in locally convex spaces

Author

Dhompongsa, Sompong, Kumam, Poom, and Soori, Ebrahim

Subjects
Mathematics - Functional Analysis, 47H10
Abstract

Suppose that Q is a family of seminorms on a locally convex space E which determines the topology of E. We study the existence of Q-nonexpansive retractions for families of Q-nonexpansive mappings and prove that a separated and sequentially complete locally convex space $E$ that has the weak fixed point property, has the weak fixed point property for commuting separable semitopological semigroups of Q-nonexpansive mappings. This proves the Bruck's problem [5] for locally convex spaces. Moreover, we prove the existence of Q-nonexpansive retractions for the right amenable Q-nonexpansive semigroups., Comment: Submitted, 25 pages

Published
2017

152. JH$\im$-suboperator pairs with application to invariant approximation by using C-class functions

Author

Moeini, Bahman, Ansari, Arslan Hojat, and Kumam, Poom

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

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 Inequalities and Applications, 67 (2011), 10 pages, doi:10.1186/1029-242X-2011-67) . Also, a new class of non-commuting self-mappings as JH$\im$-suboperator pairs are introduced. Final, as applications, several invariant approximation results are discussed, Comment: 16 pages

Published
2017

153. Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations

Author

Saipara, Plern, Kumam, Poom, and Cho, Yeol Je

Subjects
Mathematics - Functional Analysis, 60H25, 47H09, 47H10, 41A50
Abstract

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 solution for random nonlinear integral equations in Banach spaces. Some stochastic versions of deterministic fixed point theorems for Hardy-Rogers self mappings and stochastic integral equations are obtained., Comment: 14

Published
2017

154. On an initial value problem for time fractional pseudo‐parabolic equation with Caputo derivative.

Author

Luc, Nguyen Hoang, Jafari, Hossein, Kumam, Poom, and Tuan, Nguyen Huy

Subjects
CAPUTO fractional derivatives, EMBEDDING theorems, INITIAL value problems, NONLINEAR equations, EQUATIONS
Abstract

In this paper, we consider a pseudo‐parabolic equation with the Caputo fractional derivative. We study the existence and uniqueness of a class of mild solutions of these equations. For a nonlinear problem, we first investigate the global solution under the initial data u0 ∈ L2. In the case of initial data u0 ∈ Lq, q ≠ 2, we obtain the local existence result. Our main tool here is using fundamental tools, namely, Banach fixed point theorem and Sobolev embeddings. In addition, we give an example to illustrate the effectiveness of the method has been proposed. [ABSTRACT FROM AUTHOR]

Published
2024
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155. On error estimations of Simpson's second type quadrature formula.

Author

Erden, Samet, Iftikhar, Sabah, Kumam, Poom, and Thounthong, Phatiphat

Subjects
CONTINUOUS functions
Abstract

In this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to Lp[γ, δ] with (p < 1 ≤ ∞) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented. [ABSTRACT FROM AUTHOR]

Published
2024
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156. A generalized electro-osmotic MHD flow of hybrid ferrofluid through Fourier and Fick's law in inclined microchannel.

Author

Khan, Dolat, Ali, Gohar, Kumam, Poom, and Suttiarporn, Panawan

Subjects
BOUNDARY layer (Aerodynamics), ELECTRO-osmosis, BOUNDARY layer control, CAPUTO fractional derivatives, HEAT transfer
Abstract

There are several applications for electro-osmotic MHD flow of hybrid Ferrofluid in the present era, notably in the biochemical as drug delivery systems, microfluidic devices, biomedical diagnostics, microscale systems and medical industries. The electro-osmotic MHD flow of a hybrid Ferrofluid containing Cobalt Ferrite, magnetite nanoparticles via a vertically inclined microchannel is investigated in this study. In furthermore, the perpendicular magnetic field is considered. Investigations are also carried into the effects of mass and heat transfer in this moving fluid. Partial differential equations provide as a representation for the aforementioned physical phenomenon, using suitable dimensionless nondimensional variables. Also, the classical system is fractionalized using the generalized Fourier and Fick's law. Generalizations are made based on the account of the Caputo derivative. The solution for the velocity, concentration, and temperature outlines is developed by using the Fourier and Laplace techniques. Moreover, the parametric impact of many physical factors as the Brinkman parameter, the temperature, velocity, concentration and stress parameters (Schmidt, Grashof, and Prandtl numbers). Graphs and discussions of concentration distributions is also discussed. The Sherwood number, rate of heat transmission, and skin friction are calculated and summarized. Since the fractional models are more accurate, they also provide a broader variety of possible solutions. Considering the relevant data, these solutions could be the best. Additionally, the heat transfer rate is higher as compare to nanofluid and regular fluid. The Hybrid Ferrofluid having capability to control velocity boundary layer rapidly as compare to nanofluid and regular fluid. [ABSTRACT FROM AUTHOR]

Published
2024
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159. Distance and Similarity Measures of Generalized Intuitionistic Fuzzy Soft Set and Its Applications in Decision Support System

Author

Khan, Muhammad Jabir, Kumam, Poom, 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, Kahraman, Cengiz, editor, Cevik Onar, Sezi, editor, Oztaysi, Basar, editor, Sari, Irem Ucal, editor, Cebi, Selcuk, editor, and Tolga, A. Cagri, editor

Published
2021
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173. On diagonally structured scheme for nonlinear least squares and data-fitting problems

Author

Yahaya, Mahmoud Muhammad, Kumam, Poom, Chaipunya, Parin, Awwal, Aliyu Muhammed, Wang, Lin, Yahaya, Mahmoud Muhammad, Kumam, Poom, Chaipunya, Parin, Awwal, Aliyu Muhammed, and Wang, Lin

Abstract

Recently, structured nonlinear least-squares (NLS) based algorithms gained considerable emphasis from researchers; this attention may result from increasingly applicable areas of these algorithms in different science and engineering domains. In this article, we coined a new efficient structured-based NLS algorithm. We developed a diagonal Hessian-based formulation for solving NLS problems. We derived the quasi-Newton update based on a diagonal matrix scheme subject to a modified structured secant condition. Also, we show that the algorithm’s search direction satisfies a sufficient descent condition under some standard assumptions. Subsequently, we also prove the global convergence of the algorithm and then eventually show its linear convergence rate for strongly convex functions. Furthermore, to show case the proposed algorithm’s performance, we experimented numerically by comparing it with other approaches on some benchmark test functions available in the literature. Finally, the introduced scheme is applied to solve some data-fitting problems

Published
2024
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175. Automatic Classification of Low-Angle Fuze-Quick Craters Using Deep Learning

Author

Aji, Sani, Kumam, Poom, Siricharoen, Punnarai, Bukar, Ali Maina, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Nicosia, Giuseppe, editor, Ojha, Varun, editor, La Malfa, Emanuele, editor, Jansen, Giorgio, editor, Sciacca, Vincenzo, editor, Pardalos, Panos, editor, Giuffrida, Giovanni, editor, and Umeton, Renato, editor

Published
2020
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