• East Asian mathematical journal
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• v.19 no.1
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• pp.113-120
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• 2003

We study how the second homotopy modules of group presentations are transformed by Tietze transformations and discuss some application.

• Bulletin of the Korean Mathematical Society
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• v.42 no.3
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• pp.617-622
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• 2005

In this paper, using Gauss multiplication formula, a recurrence relation for Bernoulli numbers, generalizing Namias' results, is given.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.3
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• pp.455-462
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• 2012

The purpose of this paper is to show that the coset bound can be used to prove the floor bound. Our proof provides a natural relation between the floor bound and the order bound.

• Honam Mathematical Journal
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• v.40 no.4
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• pp.601-610
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• 2018

In the present paper, we construct an ordered regular equivalence relation on an ordered semihyperring by 2-hyperideals such that the corresponding quotient structure is also an ordered semihyperring.

• Communications of the Korean Mathematical Society
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• v.27 no.3
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• pp.513-522
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• 2012

In this paper, we prove common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using implicit relation. Our results extend and generalize the results of Altun and Turkoglu [9] in the sense that the concept of occasionally weakly compatible maps is the most general among all the commutativity concepts. Also the completeness of the whole space, continuity of the involved maps and containment of ranges amongst involved maps are completely relaxed.

• Bulletin of the Korean Mathematical Society
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• v.54 no.1
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• pp.243-251
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• 2017

We get a $Schr{\ddot{o}}dinger$ uncertainty relation for the monotone triple skew information which was introduced by Yanagi and Kajihara. This information extends the monotone pair skew information as well as Wigner-Yanase-Dyson skew information.

• Honam Mathematical Journal
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• v.35 no.4
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• pp.551-564
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• 2013

In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sinica, 24(5) (2008), 867-876] introduced the notion of occasionally weakly compatible mappings in metric spaces. In this paper, we prove some common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using an implicit relation. We also give an illustrative example to support our main result.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.3
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• pp.557-569
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• 2013

In this paper we shall introduce the $f$-function in a set, and give some properties of $f$-function of a set. In particular, we establish a relation between $f$-function of a set and fuzzy equivalence relation. We also introduce the notion of $f$-homomorphism on a semigroup S, and prove the generalized fundamental homomorphism theorem of semigroup.

• Honam Mathematical Journal
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• v.35 no.2
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• pp.109-117
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• 2013

In the present paper, we utilize the notion of converse commuting mappings due to L$\ddot{u}$ [On common fixed points for converse commuting self-maps on a metric spaces, Acta. Anal. Funct. Appl. 4(3) (2002), 226-228] and prove a common fixed point theorem in Menger space using an implicit relation. We also give an illustrative example to support our main result.

• Communications of the Korean Mathematical Society
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• v.28 no.4
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• pp.851-856
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• 2013

The principal aim of this paper is to investigate a recurrence relation and an integral representation of k-Mittag-Leffler function introduced earlier by Dorrego and Cerutti [2] and several special cases have also been discussed.