... study weak and strong convergence theorems for common fixed points of a
finite family of nonexpansive mappings {T
i
}
N
i1
in Banach spaces.
Theorem 2.3. Let E be a real uniformly convex Banach ... T
n
T
n mod N
, for common fixed points of a finite family of nonexpansive mappings
{T
i
}
N
i1
in Banach spaces and also prove weak and strong convergence...
... 3502–3511,
2009.
8 M. O. Osilike and S. C. Aniagbosor, Weak and strong convergence theorems for fixed points of
asymptotically nonexpansive mappings, ” Mathematical and Computer Modelling, vol. 32, no. 10, ... κ-strict pseudocontractions was introduced by Qihou 4 in 1996
see also 5.KimandXu6 studied weak and strong convergence theorems for this class
o...
... multivalued nonexpansive mappings is much more
complicated and difficult than the corresponding theory of single-valued nonexpansive
mappings. However, some classical fixed point theorems for single-valued ... is nonempty and compact. Then T has a fixed
point.
In 1999, Sahu 5 obtained the strong convergence theorems of the nonexpansive type
and nonself multivalued ma...
... and Applications 3
I -nonexpansive mappings were investigated in 20 .In 23 the weak convergence of three-
step Noor iterative scheme for an I -nonexpansive mapping in a Banach space has been
established. ... process for a finite family of nonexpansive
mappings in Banach spaces,” Fixed Point Theory and Applications, vol. 2006, Article ID 82738, 11 pages,
2006....
... that of nonexpansive mappings was introduced by Goebel and Kirk [ 6]. Iteration
processes for nonexpansive and asy mptotically nonexpansive mappings in Banach spaces
including Mann [7] and Ishikawa ... theorems for asymptotically nonexpansive
mappings in a Banach space. Moreover, Suantai [20] gave weak and strong convergence
theorems for a new thr...
... Je
ˇ
si
´
c,andJ.S.Ume,“Theexistencetheoremsforfixedandperiodicpointsof
nonexpansive mappings in intuitionistic fuzzy metric spaces,” Chaos, Solitons and Fractals, vol. 37,
no. 3, pp. 781–791, 2008.
12 L.
´
Ciri
´
c and V. ... “Common fixed point theorems for families of occasionally weakly
compatible mappings, ” Mathematical and Computer Modelling, vol. 53, no. 5-6, pp. 631...
... cited.
1. Introduction and preliminaries
Variational inequalities and variational inclusions are among the most interesting and
important mathematical problems and have been studied intensively in the ... Hindawi Publishing Corporation
Fixed Point Theory and Applications
Volume 2007, Article ID 29653, 6 pages
doi:10.1155/2007/29653
Research Article
Generalized Nonlinear Vari...
... Point Theory and Applications
19 W. Takahashi and Kei Zembayashi, Strong and weak convergence theorems for equilibrium
problems and relatively nonexpansive mappings i n Banach spaces,” Nonlinear ... USA,
1996.
2 S Y. Matsushita and W. Takahashi, Weak and strong convergence theorems for relatively
nonexpansive mappings in Banach spaces,” Fixed Po...
... generalized additive functional inequality
in Banach spaces and the Hyers-Ulam-Rassias stability of generalized additive functional
inequalities associated with linear mappings in Banach spaces.
Throughout ... additive and 1/α-additive.
Proof. Let f : X→Y be an α-additive mapping. Letting x y 0in 3.1,wegetf00.
Letting x 0in 3.1,wegetfαyαfy for all y ∈ X. Moreov...
... (L,1)-Lipschitzian mappings
with L<λ,whereλ is sufficiently near 1.
Iterative techniques for approximating fixed points of nonexpansive mappings and
their generalizations (asymptotically nonexpansive mappings, ... condition for the convergence of the Ishikawa-ty pe iterative sequences
involving two uniformly continuous asymptotically quasi -nonexpansive mappings to a
commo...