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East Asian mathematical journal
Journal Basic Information
pISSN :
1226-6973
eISSN :
2287-2833
Journal DOI :
10.7858/eamj
Frequency :
Others
Publisher:
Youngnam Mathematical Society
Editor in Chief :
변지수
Volume & Issues
Volume 28, Issue 5 - Nov 2012
Volume 28, Issue 4 - Aug 2012
Volume 28, Issue 3 - May 2012
Volume 28, Issue 2 - Feb 2012
Volume 28, Issue 1 - Jan 2012
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1
COMMON FIXED POINT THEOREM AND INVARIANT APPROXIMATION IN COMPLETE LINEAR METRIC SPACES
Nashine, Hemant Kumar ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 533~541
DOI : 10.7858/eamj.2012.038
Abstract
A common fixed point result of Gregus type for subcompatible mappings defined on a complete linear metric space is obtained. The considered underlying space is generalized from Banach space to complete linear metric spaces, which include Banach space and complete metrizable locally convex spaces. Invariant approximation results have also been determined as its application.
2
COMMON FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY BAISED MAPPINGS AND ITS APPLICATION TO BEST APPROXIMATION
Deshpande, Bhavana ; Chouhan, Suresh ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 543~552
DOI : 10.7858/eamj.2012.039
Abstract
The aim of this paper is to prove a common fixed point theorem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an example to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gregus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].
3
PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS IN CLIFFORD ANALYSIS
Lim, Su Jin ; Shon, Kwang Ho ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 553~559
DOI : 10.7858/eamj.2012.040
Abstract
The noncommutative extension of the complex numbers for the four dimensional real space is a quaternion. R. Fueter, C. A. Deavours and A. Subdery have developed a theory of quaternion analysis. M. Naser and K. N
no have given several results for integral formulas of hyperholomorphic functions in Clifford analysis. We research the properties of hyperholomorphic functions on
.
4
GENERALIZED SYSTEM FOR RELAXED COCOERCIVE EXTENDED GENERAL VARIATIONAL INEQUALITIES
Jun-Min, Chen ; Hui, Tong ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 561~567
DOI : 10.7858/eamj.2012.041
Abstract
The approximate solvability of a generalized system for relaxed cocoercive extended general variational inequalities is studied by using the project operator technique. The results presented in this paper are more general and include many previously known results as special cases.
5
ON ASYMPTOTICALLY DEMICONTRACTIVE MAPPINGS IN ARBITRARY BANACH SPACES
Rafiq, Arif ; Lee, Byung Soo ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 569~578
DOI : 10.7858/eamj.2012.042
Abstract
In this paper, the necessary and sufficient conditions for the strong convergence of a modified Mann iteration process to a fixed point of an asymptotically demicontractive mapping in real Banach spaces are considered. Presented results improve and extend the results of Igbokwe [3], Liu [4], Moore and Nnoli [6] and Osilike [7].
6
NOTE ON UPPER BOUND SIGNED 2-INDEPENDENCE IN DIGRAPHS
Kim, Hye Kyung ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 579~585
DOI : 10.7858/eamj.2012.043
Abstract
Let D be a finite digraph with the vertex set V(D) and arc set A(D). A two-valued function
defined on the vertices of a digraph D is called a signed 2-independence function if
for every
in D. The weight of a signed 2-independence function is
. The maximum weight of a signed 2-independence function of D is the signed 2-independence number
of D. Recently, Volkmann [3] began to investigate this parameter in digraphs and presented some upper bounds on
for general digraph D. In this paper, we improve upper bounds on
given by Volkmann [3].
7
FINDING THE SKEW-SYMMETRIC SOLVENT TO A QUADRATIC MATRIX EQUATION
Han, Yin-Huan ; Kim, Hyun-Min ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 587~595
DOI : 10.7858/eamj.2012.044
Abstract
In this paper we consider the quadratic matrix equation which can be defined be
, where X is a
unknown real matrix; A,B and C are
given matrices with real elements. Newton's method is considered to find the skew-symmetric solvent of the nonlinear matrix equations Q(X). We also show that the method converges the skew-symmetric solvent even if the Fr
chet derivative is singular. Finally, we give some numerical examples.
8
VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE SEMINGROUPS AND MONOTONE MAPPPINGS
Zhang, Lijuan ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 597~604
DOI : 10.7858/eamj.2012.045
Abstract
Let C be a nonempty closed convex subset of real Hilbert space H and F =
a nonexpansive self-mapping semigroup of C, and
is a fixed contractive mapping. Consider the process {
} :
. It is shown that {
} converges strongly to a common element of the set of fixed points of nonexpansive semigroups and the set of solutions of the variational inequality for an inverse strongly-monotone mapping which solves some variational inequality.
9
UNIVERSAL QUATERNARY LATTICES OVER F
_{q}
[x]
Lee, Chong Gyu ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 605~615
DOI : 10.7858/eamj.2012.046
Abstract
In this paper, we show that any definite lattice over
is universal if and only if it is quaternary and its discriminant is of degree 2, where
. The Four Conjecture follows as an immediate consequence.
10
ON ITERATIVE APPROXIMATION OF COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH APPLICATIONS
Kim, Jong Kyu ; Qin, Xiaolong ; Lim, Won Hee ;
East Asian mathematical journal , volume 28, issue 5, 2012, Pages 617~630
DOI : 10.7858/eamj.2012.047
Abstract
In this paper, the problem of iterative approximation of common fixed points of asymptotically nonexpansive is investigated in the framework of Banach spaces. Weak convergence theorems are established. A necessary and sufficient condition for strong convergence is also discussed. As an application of main results, a variational inequality is investigated.