• Korean Journal of Mathematics
• /
• v.28 no.4
• /
• pp.803-817
• /
• 2020

The object of the present paper is to study 𝜂-Ricci soliton on Kenmotsu manifold with respect to general connection.

• Bulletin of the Korean Mathematical Society
• /
• v.40 no.3
• /
• pp.351-363
• /
• 2003

In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.

• Honam Mathematical Journal
• /
• v.42 no.1
• /
• pp.17-35
• /
• 2020

In this paper we introduce and consider a new class of variational inequalities with four operators. This class is called the extended general mixed quasi variational inequality. We show that the extended general mixed quasi variational inequality is equivalent to the fixed point problem. We use this alternative equivalent formulation to discuss the existence of a solution of extended general mixed quasi variational inequality and also develop several iterative methods for solving extended general mixed quasi variational inequality and its variant forms. We consider the convergence analysis of the proposed iterative methods under appropriate conditions. We also introduce a new class of resolvent equation, which is called the extended general implicit resolvent equation and establish an equivalent relation between the extended general implicit resolvent equation and the extended general mixed quasi variational inequality. Some special cases are also discussed.

• Journal of the Chungcheong Mathematical Society
• /
• v.31 no.2
• /
• pp.199-230
• /
• 2018

In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.

• Communications of Mathematical Education
• /
• v.19 no.4 s.24
• /
• pp.805-822
• /
• 2005

In Korea, many local university mathematics faculty knew that the institution faced serious student shortage problems and the restructuring and cut actions for such a mathematics major programs. In general, undergraduate mathematics education in korea is in the crisis. In general, lots of mathematics departments in korea was not prepared for such a severe risk. In this article, university mathematics education and research business are studied in the context of the size of korea-usa population, economy(such as GDP), SCI indices. Korea-usa university mathematics education profile data are presented to compare korea-usa university mathematics education business. Lots of precious data on mathematics education are being helped to prepare for the university mathematics education crisis.

• East Asian mathematical journal
• /
• v.26 no.1
• /
• pp.59-67
• /
• 2010

In this paper, we suggest and analyze some three step iterative scheme for finding the common elements of the set of the solutions of the extended general variational inequalities involving three operators and the set of the fixed points of nonexpansive mappings. We also consider the convergence analysis of suggested iterative schemes under some mild conditions. Since the extended general variational inequalities include general variational inequalities and several other classes of variational inequalities as special cases, results obtained in this paper continue to hold for these problems. Results obtained in this paper may be viewed as a refinement and improvement of the previously known results.

• Journal of the Korean School Mathematics Society
• /
• v.18 no.3
• /
• pp.335-352
• /
• 2015

In this paper, we selected 145 students from engineering college students who took P University's the Scholastic Level Assessment and registered the Basic Mathematics Class among the students who achieved 4th~7th grade in the mathematics B-type of the College Scholastic Ability Test. We compared and analyzed the correlation among the chosen students' grade for the College Scholastic Ability Test, test results of the Scholastic Level Assessment and mid-term test of the Basic Mathematics Subject, type of college entrance and actual condition survey of students in order to derive optimized teaching method for general mathematics subjects which can possibly increase the students' academic ability.

• The Mathematical Education
• /
• v.49 no.3
• /
• pp.329-341
• /
• 2010

In this paper, we analyzed the freshmen's achievements on general mathematics their GPA based on 'basic mathematics diagonal test score'. Also, we studied the achievements of students who were not passed the 'Basic Mathematics Diagonal Test (BMDT)' and had to take supplementary lessons to improve their mathematics abilities four times a week during the first semester of academic year 2008 in Mokpo National University. Before taking college entrance exam, high school students had to choose two types of scholastic area. One is on 'Ga' or 'Na' in mathematics and the other is on Natural Science or Social Science. According to the types, we classified the freshman-Ga or Na and NS or SS. We found some facts. First, a few of Ga and NS freshmen had low score on the BMDT. Second, Na and NS freshman got higher score than Na and SS freshmen on the BMDT. Third, Ga and NS freshmen who passed the BMDT got higher score on the general mathematics than those who failed the BMDT. Finally, there are correlations between achievements of general mathematics and a curriculum of freshmen who were passed test after taking supplementary lessons.

• East Asian mathematical journal
• /
• v.28 no.5
• /
• pp.561-567
• /
• 2012

The approximate solvability of a generalized system for relaxed cocoercive extended general variational inequalities is studied by using the project operator technique. The results presented in this paper are more general and include many previously known results as special cases.

• Communications of Mathematical Education
• /
• v.19 no.4 s.24
• /
• pp.587-597
• /
• 2005

Mathematics education for social science majors at the college level could be a totally different subject from mathematics education for mathematics majors. We discuss goals, curriculum and effective teaching of mathematics for social science majors with a focus on business, management and economics at the college level.