• Korean Journal of Mathematics
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• 제29권4호
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• pp.725-732
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• 2021

This paper aims to present a new lower bound for some inequalities related to Frames in Hilbert space. Some refinements of the inequalities for general frames and alternate dual frames under suitable conditions are given. These results refine the remarkable results obtained by Balan et al. and Gavruta.

• Korean Journal of Mathematics
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• 제32권1호
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• pp.59-72
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• 2024

In the presented paper, the first section contains strong convergence and demiclosedness property of a sequence generated by Karakaya et al. iteration scheme in a Hilbert space for quasi-nonexpansive mappings and also the comparison between the iteration scheme given by Karakaya et al. with well-known iteration schemes for the convergence rate. The second section contains some applications of the fixed point theory in solution of different mathematical problems.

• Journal of applied mathematics & informatics
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• 제42권2호
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• pp.237-243
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• 2024

A similarity transformation of a solution of the Cauchy problem for the linear difference equation in Hilbert space has been studied. In this manuscript, we obtain necessary and sufficient conditions for linear equivalence of the discrete semigroup of operators, generated by the solution of the difference equation utilizing four Canonical semigroups.

• Kyungpook Mathematical Journal
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• 제9권1_2호
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• pp.71-75
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• 1969

• 대한수학회보
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• 제23권2호
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• pp.177-187
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• 1986

• 대한수학회논문집
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• 제3권2호
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• pp.169-177
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• 1988

• East Asian mathematical journal
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• 제1권
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• pp.47-54
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• 1985

• East Asian mathematical journal
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• 제7권2호
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• pp.109-117
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• 1992

• 대한수학회보
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• 제16권1호
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• pp.15-20
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• 1979

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권1호
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• pp.73-86
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• 2012

This is a survey on the volume entropy and its rigidity of various metric spaces. This survey is aimed to summarize recent results as well as remaining open questions and possible directions on this subject.