• Kyungpook Mathematical Journal
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• v.55 no.1
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• pp.205-218
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• 2015

In this paper, we introduce the concept of generalized c-distance on a cone metric space and prove some common fixed point and coincidence point results by using this notion. Our results generalize and extend several well known comparable results in the literature.

• Kyungpook Mathematical Journal
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• v.52 no.3
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• pp.319-325
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• 2012

The notions of (${\omega}$)compactness and (${\omega}$)paracompactness are studied in product (${\omega}$)topology. The concept of countable (${\omega}$)paracompactness is introduced and some results on this notion are obtained.

• Kyungpook Mathematical Journal
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• v.47 no.1
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• pp.81-89
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• 2007

In this paper, we introduce the concept of a system of asymptotically quasinonexpansive type mappings. Furthermore, we define a $k$-step iterative sequence approximating common fixed point for a system of asymptotically quasi-nonexpansive type mappings and study its stability in real Banach spaces.

• Korean Journal of Mathematics
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• v.22 no.4
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• pp.611-619
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• 2014

We in this note study a ring theoretic property which unifies Armendariz and IFP. We call this new concept INFP. We first show that idempotents and nilpotents are connected by the Abelian ring property. Next the structure of INFP rings is studied in relation to several sorts of algebraic systems.

• The Pure and Applied Mathematics
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• v.2 no.1
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• pp.1-8
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• 1995

Since the concept of Pettis integral was introduced in 1938 [10], the Pettis integrability of weakly measurable functions has been studied by many authors [5, 6, 7, 8, 9, 11]. It is known that there is a bounded function that is not Pettis integrable [10, Example 10. 8]. So it is natural to raise the question: when is a bounded function Pettis integrable\ulcorner(omitted)

• The Pure and Applied Mathematics
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• v.14 no.3
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• pp.139-151
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• 2007

We introduce the concept of intuitionistic fuzzy semiprimality of a semigroup which is an extension of semiprimality in it. And we obtain a characterization of a semigroup that is a semilattice of simple semigroups in terms of intuitionistic fuzzy semiprime interior ideals.

• The Pure and Applied Mathematics
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• v.16 no.1
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• pp.59-68
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• 2009

We introduce the notion of GT-algebras as a generalization of the concept of Tarski algebras. We introduce the notion of GT-filters in GT-algebras, and we prove some properties of GT-filters.

• The Pure and Applied Mathematics
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• v.27 no.1
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• pp.61-70
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• 2020

In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the M_J-contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].

• Journal of KSNVE
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• v.5 no.1
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• pp.67-73
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• 1995

In earth moving construction equipment used for rough and dangerous works, seat suspension system is the only means for reducing the vibration transmitted to the operator. Thus ISO(International Organization for Standardization) 7096 suggests a recommendation for the vibration characteristics of the seat suspension system in order to protect the human beings from excessive vibrationl. In this research, a new mechanical type seat suspension system is designed and a mathematical model, effective design parameters of the seat suspension system are determined and concept design strategy is presented.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.259-266
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• 2015

Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded quasi-prime submodules and give some basic results about graded quasi-prime submodules of graded modules. Special attention has been paid, when graded modules are graded multiplication, to find extra properties of these submodules. Furthermore, a topology related to graded quasi-prime submodules is introduced.