• The Pure and Applied Mathematics
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• v.8 no.2
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• pp.87-99
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• 2001

In this paper, we define the Mcshane-Stieltjes integral for Banach-valued functions, and will investigate some of its properties and comparison with the Pettis integral.

• Communications of the Korean Mathematical Society
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• v.11 no.1
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• pp.109-115
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• 1996

A number of authors have generalized contraction mapping theorems in metric spaces. In this paper, we give some common fixed point theorems related with the diameter of the orbit on metric spaces. We generalize the results of M. Ohta and G. Nikaido [6], also Taskovic [8].

• Research in Mathematical Education
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• v.5 no.2
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• pp.119-126
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• 2001

In this paper we deal with two questions: 1) How have prospective teachers reflected mathematics curriculum reform in their planning of mathematics lessons\ulcorner 2) To what extent were the pre-service teachers able to be reflective about their planning of mathematics lessons\ulcorner Form analyses of videotapes, field notes, discussions among the college students, we found four features in the prospective teacher\\`s lesson plans and their teaching.

• Communications of Mathematical Education
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• v.21 no.4
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• pp.647-661
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• 2007

In this paper, we study the role of college mathematics education in summer and winter school. And we discuss the effectiveness that the college mathematics education can be promoted throughout the summer and winter school course.

• The Pure and Applied Mathematics
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• v.13 no.3 s.33
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• pp.227-236
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• 2006

The purpose of this paper is to establish a random fixed point theorem for nonconvex valued random multivalued operators, which generalize known results in the literature. We also derive a random coincidence fixed point theorem in the noncompart setting.

• Honam Mathematical Journal
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• v.36 no.3
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• pp.637-645
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• 2014

We study 3-dimensional non-unimodular Lie groups with a left-invariant almost Kenmotsu structure.

• East Asian mathematical journal
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• v.14 no.2
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• pp.237-247
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• 1998

In this paper, we prove a translation theorem for the analytic Feynman integral for functions in $\mathcal{F}_{A_1,A_2}$(B) and show how this integral can be modified so as to be translation invariant.

• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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• pp.1773-1789
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• 2014

We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang [15] and Theorem 1.1 in Liu-Chang [16]. Examples are provided to show that the results in this paper, in a sense, are the best possible.

• Journal of applied mathematics & informatics
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• v.38 no.3_4
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• pp.301-309
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• 2020

Recently, M. Masjed-Jamai et al. in ([6]-[7]) and Srivastava et al. in ([15]-[16]) considered the parametric type of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. They proved some theorems and gave some identities and relations for these polynomials. In this work, we define the parametric poly-tangent numbers and polynomials. We give some relations and identities for the parametric poly-tangent polynomials.

• Journal of the Korean Mathematical Society
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• v.42 no.4
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• pp.709-721
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• 2005

G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.