báo cáo hóa học: " Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense" pot
... Duan and Zhao: Strong convergence theorems for system of equilibrium problems and
asymptotically strict pseudocontractions in the intermediate sense. Fixed Point Theory and Applications 2011
2011:13.
Submit ... of the
fixed point set of a finite family of asymptotically l
i
-strict pseudocontractions and the
solution set of the problem (...
... a system of variational
inequalities, and of the set of fixed points of an infinite family of strict pseudo-
contractions. Strong convergence theorem of the purposed iteration is established in
the ... Kangtunyakarn: Strong convergence theorem for a generalized equilibrium problem and
system of variational inequalities problem and infinite family...
... for finding a common element of the set of
solutions of variational inequality and the set of common fixed points of a countable
family of nonexpansive mappings is introduced and studied. A strong ... converges strongly to a common element of the set of
fixed points of nonexpansive mapping and the set of solutions of the variational
inequality for a...
... element in the set of sol utions to the
system of equilibrium problem and the set of fixed points of a nonexpansive mapping.
The following new strong convergence theorem is established in the framework ... implicit method for finding common solutions of variational inequalities and
systems of equilibrium problems and fixed points of infinite fam...
... Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings,Pro-
ceedings of the American Mathematical Society 35 (1972), no. 1, 171–174.
STRONG CONVERGENCE THEOREMS FOR
ASYMPTOTICALLY ... x
n
2
.
(2.31)
Y. Su and X. Qin 11
[3] B. Halpern, Fixed points of nonexpanding maps, Bulletin of the American Mathematical Society
73 (1967), 957–96...
... Applications of K-mappings for
fixed point problems and equilibrium problems can be found in [23–26].
By using the concept of W -mappings and K-mappings, we introduce two new iter-
ations for finding a ... possible to prove the convergence theorem of a finite family of
continuous mappings on an arbitrary interval by using W-mappings and K-mappings
and how about...
... common element of the set of co mmon fixed point of a semigroup of nonex-
pansive mappings and the set of solutions of variational inequality for b-inverse
strongly monotone mapping which solves ... descent method for the variational inequality problem over the intersection of fixed
point sets of nonexpansive mappings, Inherently parallel algorithms in feasibil...
... m.
(45)
Proof. In Theorem 8, the lower bounds of the eigenvalues
of Q in (20) are determined by
d
j
, j = 1,2, , m,ands
and t in (21). As we did in Theorem 12, the lower bounds
of the eigenvalues of ... m.
(34)
Proof. In Theorem 8, the upper bounds of the eigenvalues of
Q in (19) are determined by
d
j
, j = 1,2, ,m,ands and t
in (21). They can be...
... version of Furi-
Vignoli’s theorem using the notion of weakly F-contractive mappings acting on a topological
space was proved in 4see also 5.
On the other hand, in 6 while examining KKM ... Cf, g.
3. Common Fixed Point Theorems for Commuting Maps
In this section we extend some results in 7 to the setting of two mappings having a unique
common fixed point.
Th...
... Applications of K-mappings for
fixed point problems and equilibrium problems can be found in [23–26].
By using the concept of W -mappings and K-mappings, we introduce two new iter-
ations for finding a ... fixed point
of T .
By using the same argument of proof as in above lemma, we get the following result.
16
2 Convergence theorems
We first give a convergence...