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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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ISSN : 1226-0657

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14권 1호

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PDF Citation TOPOLOGICAL MAGNITUDE OF A SPECIAL SUBSET IN A SELF-SIMILAR CANTOR SET
Baek, In-Soo(DEPARTMENT OF MATHEMATICS, PUSAN UNIVERSITY OF FOREIGN STUDIES) 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.

PDF Citation ON THE STABILITY OF THE COSINE TYPE FUNCTIONAL EQUATION
Kim, Gwang-Hui(DEPARTMENT OF MATHEMATICS, KANGNAM UNIVERSITY) 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).

PDF Citation PRE-CONVERGENCE OF p-STACKS ON TOPOLOGICAL SPACES
Min, Won-Keun(DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY) 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.

PDF Citation THE MODIFIED HYERS-ULAM-RASSIAS STABILITY OF A MIXED TYPE FUNCTIONAL EQUATION
Park, Kyoo-Hong(DEPARTMENT OF MATHEMATICS EDUCATION, SEOWON UNIVERSITY) 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).

PDF Citation GENERALIZED MULTIVALUED QUASIVARIATIONAL INCLUSIONS FOR FUZZY MAPPINGS
Liu, Zeqing(DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY) ; Ume, Jeong-Sheok(DEPARTMENT OF APPLIED MATHEMATICS, CHANGWON NATIONAL UNIVERSITY) ; Kang, Shin-Min(DEPARTMENT OF MATHEMATICS AND RESEARCH INSTITUTE OF NATURAL SCIENCE, GYEONGSANG NATIONAL UNIVERSITY) 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.

한국수학교육학회지시리즈B:순수및응용수학

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