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Latest
Issue
Volume
10, No.
3,
June
2017
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Articles |
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BEST
APPROXIMATION,
FIXED POINTS
AND
INVARIANT
APPROXIMATION
IN LINEAR
METRIC
SPACES
If G is a
nonempty
subset of a
metric space
(X; d) and x
2 X, a
point g0 2 G
is called a
best
approximation
to x in G if
d(x; g0) =
dist(x;G)
inffd(x; g)
: g 2 Gg.
The set of
all best
approximations
to x in G is
denoted by
PG(x). The
set-valued
map PG is
called a
best
approximation
map. This
paper shows
how the best
approximation
map helps in
nding xed
points of
certain
mappings in
linear
metric
spaces. The
results
proved in
the paper
generalize
and extend
several
known
results on
the subject.
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T. D. NARANG
JJMS,
2017, 10(3),189-197
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SOME CHARACTERIZATIONS OF CAMPANATO SPACES VIA
THE COMMUTATOR OF FRACTIONAL INTEGRAL OPERATOR
In
this
paper,
we
give
some
characterizations
of
Campanato
spaces
via
the
commutators
or
higher
order
commutators
of
fractional
integral
operator.
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DAN LI
ZHENLONG
ZHANG
ZONGGUANG
LIU
JJMS,
2017, 10(3),199-215
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SOME STUDIES ON ORDERED KRASNER HYPERRINGS WITH RESPECT TO DERIVATIONS
The concept of ordered Krasner hyperrings is a generalization of the
concept of ordered rings. In this paper, we study subhyperrings, d-subhyperrings and injective subhyperrings of ordered Krasner hyperrings. Also, the notion of convex ordered Krasner hyperrings is introduced and some related results are studied.
Moreover, we prove that for an injective strong derivation d of a convex ordered Krasner hyperring (R;+; ; ) associated to a d-strongly regular relation , there exists an injective strong derivation on (R= ; ; ;).
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SABER OMIDI
BIJAN DAVVAZ
JJMS,
2017, 10(3),217-234
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AN ASPECT OF LOCAL PROPERTY OF FOURIER SERIES
In this paper, a general theorem concerning N; pn; n k summability
factors of Fourier series is obtained. Using this result we study a localization problem for Fourier series.
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ŞEBNEM
YILDIZ
JJMS,
2017, 10(3),235-245
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DISCUSSION ON α-CONTRACTIONS AND RELATED FIXED
POINT THEOREMS IN HAUSDORFF b-GAUGE SPACES
In this paper, we have used the structure of b-gauge spaces to prove fixed point theorems for multivalued mappings in the lights of -contraction. Towards the end, the validity of our results have been insured by discussing a possible application and example.
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MUHAMMAD
USMAN ALI
FAHIM UD DIN
JJMS,
2017, 10(3),247-263
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