• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.577-585
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• 2022

In this work, we introduced and study vector equilibrium problems for trifunction in measurable space (for short, VEPMS). The existence of solutions of (VEPMS) are obtained by employing Aumann theorem and Fan KKM lemma. As an application, we prove an existence result for vector variational inequality problem for measurable space. Our results in this paper are new which can be considered as significant extension of previously known results in the literature.

• East Asian mathematical journal
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• v.36 no.5
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• pp.571-581
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• 2020

In this paper, an equilibrium problems involving a finite family of maximal monotone operators and inverse-strongly monotone operators are introduced and investigated. A strong convergence theorem of common solutions is obtained in Hilbert spaces.

• Journal of applied mathematics & informatics
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• v.34 no.1_2
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• pp.61-73
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• 2016

In this paper, we consider the problems of convergence of parallel iterative algorithms for a system of nonlinear variational inequalities and nonexpansive mappings. Strong convergence theorems are established in the frame work of real Banach spaces.

• Journal of Fisheries and Marine Sciences Education
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• v.20 no.1
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• pp.1-11
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• 2008

The purposes of this study are to analyze sex education content in high school textbooks and to suggest new guidelines for high school sex education content from a gender equality standpoint. The study analyzes sex-related content from high school textbooks based on the 7th curriculum, including subject areas such as Technical/Home Economics, Sciences, Physical Education, Social Studies and Moral Studies. The analysis relies on the framework of Sexuality Information and Education Council of the United States that covers 4 levels and 6 categories as well as the framework of Choi (2005) that includes 36 themes in 6 different categories. The results of this study are as follows: First, high school sex-related textbooks are focused mainly on human development and human relations. Secondly, there is a lot of level 3 sex education content within the analyzed textbooks. Third, there are gender inequality issues in the coverage of such topics as pregnancy, contraception and sexual violence. Fourth, there are also gender inequality problems caused by content level. This study recommends that gender inequality issues be included in high school sex education guidelines in the future in order to provide improved and appropriate content for high school level sex education.

• SUVANNABHUMI
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• v.16 no.1
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• pp.175-203
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• 2024

With the enactment of international free trade and economic agreements and cooperation, BIMP-EAGA is an opportunity to accelerate development and economic growth in eastern Indonesia. This subregional cooperation could be used to reduce the development gap or inequality between the western and eastern regions, which are geographically, demographically, and economically different. This cooperation also may accelerate development in the border area. This study analyzes Indonesia's policies related to connectivity in BIMP-EAGA subregional cooperation and its implementation. The study results show that the National Secretariat of Sub-Regional Economic Cooperation has encouraged cooperation clusters ranging from natural resources, transportation, infrastructure, ICT, and tourism to MSMEs. In terms of connectivity, Indonesia is also involved in the development program of three economic corridors, namely West Borneo, East Borneo, and Sulu-Sulawesi. Indonesia's involvement in the three corridors has boosted the connectivity of Indonesia's territory, especially border areas, with neighboring countries. Connectivity has covered not only physical but also institutional and people-to-people dimensions. However, there are still several challenges, ranging from the standardization of the Customs, Immigration, and Quarantine (CIQ) mechanisms, improvement of institutional quality, and consistent strong political will among the involved parties. In addition, considering the vulnerability of the BIMP subregion to transnational crimes and acts of radical terrorism, BIMP-EAGA needs to think about solutions to overcome these cross-border security problems so that the momentum of development in the subregion may be sustained.

• Nonlinear Functional Analysis and Applications
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• v.29 no.1
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• pp.131-164
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• 2024

In this research, we study a modified relaxed Tseng method with a single projection approach for solving common solution to a fixed point problem involving finite family of τ-demimetric operators and a quasi-monotone variational inequalities in real Hilbert spaces with alternating inertial extrapolation steps and adaptive non-monotonic step sizes. Under some appropriate conditions that are imposed on the parameters, the weak and linear convergence results of the proposed iterative scheme are established. Furthermore, we present some numerical examples and application of our proposed methods in comparison with other existing iterative methods. In order to show the practical applicability of our method to real word problems, we show that our algorithm has better restoration efficiency than many well known methods in image restoration problem. Our proposed iterative method generalizes and extends many existing methods in the literature.

• East Asian mathematical journal
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• v.33 no.1
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• pp.83-102
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• 2017

The main purpose of this paper is to introduce a pair new class of primal and dual problem associated with an operator. We prove the sufficient optimality theorem, weak duality theorem and strong duality theorem for these problems. The equivalence between the generalized optimization problems and the generalized variational inequality problems is studied in ordered topological vector space modeled in Hilbert spaces. We introduce the concept of partial differential associated (PDA)-operator, PDA-vector function and PDA-antisymmetric function to show the existence of a new class of function called, ($T_{\eta};{\xi}_{\theta}$)-invex functions. We discuss first and second kind of ($T_{\eta};{\xi}_{\theta}$)-invex functions and establish their existence theorems in ordered topological vector spaces.

• Transactions of the Korean Society of Mechanical Engineers
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• v.7 no.1
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• pp.52-63
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• 1983

The purpose of the study is to find development of contact area, contact pressure and friction forces occurring at joints or connection areas inbetween structural members or mechanical parts. The problem has a pair of difficulties intrinsically; a constraint of displacement due to contact, and presence of work term by nonconservative friction force in the variational principle of the problem. Because of these difficulties, the variational principle remains in the form of inequality. It is resolved by penalty method and perturbation method making the inequality to an equality which is proper for computational purposes. A contact problem without friction is solved to find contact area and contact pressure, which are to be used as data for the analysis of the friction problem using perturbed variational principle. For numerical experiments, a Hertz problem, a rigid punch problem, and the latter one with friction effects are solved using $Q_2$-finite elements.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1147-1161
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• 2012

In this paper, a coincidence theorem for a compact ${\Re}\mathfrak{C}$-map is proved in an abstract convex space. Several more general coincidence theorems for noncompact ${\Re}\mathfrak{C}$-maps are derived in abstract convex spaces. Some examples are given to illustrate our coincidence theorems. As applications, an alternative theorem concerning the existence of maximal elements, an alternative theorem concerning equilibrium problems and a minimax inequality for three functions are proved in abstract convex spaces.

• Bulletin of the Korean Mathematical Society
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• v.43 no.3
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• pp.479-486
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• 2006

Let $Z_n(s,\;f)=n^{-1}\;{\sum}^{ns}_{i=1}(f(X_i)-Pf)$ be the sequential empirical process based on the independent and identically distributed random variables. We prove that convergence problems of $sup_{(s,\;f)}|Z_n(s,\;f)|$ to zero boil down to those of $sup_f|Z_n(1,\;f)|$. We employ Ottaviani's inequality and the complete convergence to establish, under bracketing entropy with the second moment, the almost sure convergence of $sup_{(s,\;f)}|Z_n(s,\;f)|$ to zero.