• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.3
• /
• pp.341-355
• /
• 2017

This paper is devoted to some dynamical properties such as transitivity, mixing and specification of two discrete dynamical systems (X, f) and ($2^X$, ${\bar{f}}$) on compact metric spaces.

• Journal of applied mathematics & informatics
• /
• v.29 no.1_2
• /
• pp.395-405
• /
• 2011

In this paper, we prove a common fixed point theorem for a pair of weakly compatible maps under E.A. property.

• The Pure and Applied Mathematics
• /
• v.23 no.2
• /
• pp.201-201
• /
• 2016

• Communications of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.399-399
• /
• 2017

• East Asian mathematical journal
• /
• v.22 no.2
• /
• pp.151-162
• /
• 2006

In this paper two coincidence point theorems in complete metric spaces for two pairs of single and multi-valued mappings have been established.

• Communications of the Korean Mathematical Society
• /
• v.14 no.2
• /
• pp.319-328
• /
• 1999

In this paper we consider a kind of Minty`s lemma for multifunctions in Banach spaces, and apply it to obtain existence theorems for two kinds of variational-like inequalities using the KKM-Fan theorem.

• Bulletin of the Korean Mathematical Society
• /
• v.36 no.2
• /
• pp.217-224
• /
• 1999

In this paper the properties of the Finsler metrics compatible with an f-structure are investigated.

• Nonlinear Functional Analysis and Applications
• /
• v.27 no.2
• /
• pp.261-269
• /
• 2022

The purpose of this paper is to introduce a new generalization class of cyclic mappings, called cyclic generalized 𝜑-weak contraction and obtain a corresponding best proximity point theorem for this cyclic mapping under certain conditions.

• Journal of the Korean Mathematical Society
• /
• v.39 no.5
• /
• pp.783-800
• /
• 2002

Let B denote the unit ball in $C^n$, and ν the normalized Lebesgue measure on B. For $\alpha$ > -1, define $dv_\alpha$(z) ＝ $c_\alpha$$(1-\midz\mid^2)^{\alpha}$dν(z), z $\in$ B. Here $c_\alpha$ is a positive constant such that $v_\alpha$(B) ＝ 1. Let H(B) denote the space of all holomorphic functions in B. For $p\geq1$, define the Bergman-Privalov space $(AN)^{p}(v_\alpha)$ by $(AN)^{p}(v_\alpha)$ = ${f\inH(B)$ : $\int_B{log(1+\midf\mid)}^pdv_\alpha\;<\;\infty}$ In this paper we prove that a function $f\inH(B)$ is in $(AN)^{p}$$(v_\alpha)$ if and only if $(1+\midf\mid)^{-2}{log(1+\midf\mid)}^{p-2}\mid\nablaf\mid^2\;\epsilon\;L^1(v_\alpha)$ in the case 1＜p＜$\infty$, or $(1+\midf\mid)^{-2}\midf\mid^{-1}\mid{\nabla}f\mid^2\;\epsilon\;L^1(v_\alpha)$ in the case p ＝ 1, where $nabla$f is the gradient of f with respect to the Bergman metric on B. This is an analogous result to the characterization of the Hardy spaces by M. Stoll [18] and that of the Bergman spaces by C. Ouyang-W. Yang-R. Zhao [13].

• Journal of the Korean Mathematical Society
• /
• v.57 no.4
• /
• pp.1005-1018
• /
• 2020

A characterization of the C-projective vector fields on a Randers space is presented in terms of 𝚵-curvature. It is proved that the 𝚵-curvature is invariant for C-projective vector fields. The dimension of the algebra of the C-projective vector fields on an n-dimensional Randers space is at most n(n + 2). The generalized Funk metrics on the n-dimensional Euclidean unit ball 𝔹ⁿ(1) are shown to be explicit examples of the Randers metrics with a C-projective algebra of maximum dimension n(n+2). Then, it is also proved that an n-dimensional Randers space has a C-projective algebra of maximum dimension n(n + 2) if and only if it is locally Minkowskian or (up to re-scaling) locally isometric to the generalized Funk metric. A new projective invariant is also introduced.