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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

Vol.14 No.1

Baek, In-Soo pp.1-5
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Abstract

We study the topological magnitude of a special subset from the distribution subsets in a self-similar Cantor set. The special subset whose every element has no accumulation point of a frequency sequence as some number related to the similarity dimension of the self-similar Cantor set is of the first category in the self-similar Cantor set.

Kim, Gwang-Hui pp.7-14
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Abstract

The aim of this paper is to study the superstability problem of the cosine type functional equation f(x+y)+f(x+<TEX>${\sigma}y$</TEX>)=2g(x)g(y).

Min, Won-Keun pp.15-21
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Abstract

We introduce the notion of pre-convergence of p-stacks and characterize the pre-interior, pre-closure, separation axioms and pre-continuity on a topological space by using pre-convergence of p-stacks. We also introduce the notion of p-precompactness and investigate its properties in terms of pre-convergence of p-stacks.

Park, Kyoo-Hong pp.23-35
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Abstract

We investigate the modified Hyers-Ulam-Rassias stability for the following mixed type functional equation, i.e, cubic or quadratic type functional equation : 9f(x+y)-9f(x-y)+f(6y)=3f(x+3y)-3f(x-3y)+9f(2y).

Liu, Zeqing ; Ume, Jeong-Sheok ; Kang, Shin-Min pp.37-48
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Abstract

In this paper, we introduce and study a class of generalized multivalued quasivariational inclusions for fuzzy mappings, and establish its equivalence with a class of fuzzy fixed-point problems by using the resolvent operator technique. We suggest a new iterative algorithm for the generalized multivalued quasivariational inclusions. Further, we establish a few existence results of solutions for the generalized multivalued quasivariational inclusions involving <TEX>$F_r$</TEX>-relaxed Lipschitz and <TEX>$F_r$</TEX>-strongly monotone mappings, and discuss the convergence criteria for the algorithm.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics