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Approximation Theory 에서 S . P . Singh 의 부동점정리의 일반화
조열제 한국수학교육학회 1980 수학교육 Vol.18 No.1
In this note, I studied about involution on BCK-algebras, and solved a problem posed by K. Ise´ki [4]. The problem is following : Is there a non-commutative BCK-algebra satisfying NNχ=χ?
ON THE STABILITY OF RADICAL FUNCTIONAL EQUATIONS IN QUASI--NORMED SPACES
조열제,Madjid Eshaghi Gordji,김성식,양영오 대한수학회 2014 대한수학회보 Vol.51 No.5
In this paper, we prove the generalized Hyers-Ulam stability results controlled by considering approximately mappings satisfying conditions much weaker than Hyers and Rassias conditions for radical quadratic and radical quartic functional equations in quasi-β-normed spaces.
FIXED POINT THEORY FOR PERMISSIBLE MAPS VIA INDEX THEORY
조열제,Mircea Balaj,Donal O'Regan 영남수학회 2008 East Asian mathematical journal Vol.24 No.1
New fixed point theorems for permissible maps between Fr´echet spaces are presented. The proof relies on index theory developed by Dzedzej and on viewing a Fr´echet space as the projective limit of a sequence of Banach spaces.
A system of nonlinear projection equations with perturbation in Hilbert spaces
조열제,Li-Wen Zhou,Nan-Jing Huang 영남수학회 2008 East Asian mathematical journal Vol.24 No.2
In this paper, we introduce and studied a system of nonlinear projection equations with perturbation in Hilbert spaces. By using the fixed point theorem, we prove an existence of solution for this system of nonlinear projection equations. We construct an algorithm for approximating the solution of the system of nonlinear projection equations with perturbation and show that the iterative sequence generated by the algorithm converges to the solution of the system of nonlinear projection equations with perturbation under some suitable conditions.
APPROXIMATIONS OF THE ITERATIVE SEQUENCES FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
조열제,Shih-Sen Chang,Haiyun Zhou 영남수학회 2008 East Asian mathematical journal Vol.24 No.1
In this paper, we first introduce some iterative sequences of Halpern type for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces and then we discuss strong convergence for the iterative processes. The results presented in this paper extend, supplement and improve the correspoding main results of Reich [11], Shimizu and Takahashi [13], Shioji and Takahashi [15], [16] and Wittmann [18].
On some integral inequalities with iterated integrals
조열제,Sever S. Dragomir,김영호 대한수학회 2006 대한수학회지 Vol.43 No.3
The main aim ofthe present paper is to establish some new Gronwall typeinequalities involving iterated integrals and give some
Notes on Random Fixed Point Theorems
조열제,M. Firdosh Khan,Salahuddin 한국수학교육학회 2006 純粹 및 應用數學 Vol.13 No.3
The purpose of this paper is to establish a random fixed point theoremf or nonconvex valued random multivalued operators, which generalize known results in the literature. We also derive a random coincidence fixed point theorem in the noncompact setting.
ON THE PARALLELOGRAM LAW AND BOHR'S INEQUALITY IN G-INNER PRODUCT SPACES
조열제,Vera Culjak,Josip Pecaric 한국수학교육학회 2009 純粹 및 應用數學 Vol.16 No.1
In this paper, we give some results which are in connection to the parallelogram law in G-inner product spaces and also prove some results related to Bohr's inequality in G-inner product spaces.
조열제,강신민,Xiaolong Qin 대한수학회 2010 대한수학회보 Vol.47 No.6
In this paper, we consider an implicit iterative process with errors for an infinite family of strict pseudocontractions. Strong convergence theorems are established in the framework of Banach spaces. The results presented in this paper improve and extend the recent ones announced by many others.
Approximating common fixed points of asymptotically nonexpansive mappings
조열제,강정임,Haiyun Zhou 대한수학회 2005 대한수학회보 Vol.42 No.4
In this paper, we deal with approximations of common fixed points of the iterative sequences with errors for three asymptotically nonexpansive mappings in a uniformly convex Banach space. Our results generalize and improve the corresponding results of Khan and Takahashi, Schu, Takahashi and Tamura, and others.