... of Schauder mappings can be used to prove the Kakutani fixed point
theorem for set-valued mappings in the locally convex case.
By a set-valued mapping between two sets X, Y we understand a mapping ... Fixed Point Theorems of
Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-
Tychonoff fixed point theorem, based on a locally convex var...
... path joining them. With this metric, the edge-preserving map-
pings become nonexpansive mappings. (In a reflexive graph an edge-preserving map may
collapse edges between distinct points since loops ... to be interior if given any
vertex x ∈ G, the path joining p
0
and x contains a point p
1
∈ G
1
for which p
1
= p
0
.A
point p ∈G
1
is said to be a boundar y point of G
1
if p is not an...
... areinsomesensethegen-
eralizations of fixed point theorems (in locally convex space) of Schauder- Tychonoff,
Schauder- Hukanare and Schauder- Krasnoselskii, respectively.
3. Applications: fixed point ... Schauder- type fixed point theorems
are proved, which include the corresponding theorems in locally convex spaces as their
special cases. As applications, some new fixed...
... fixed point, F-invariant set and fixed point of N-order.
Ann. Funct. Anal. 1, 46–56 (2010)
38. Samet, B, Vetro, C: Coupled fixed point theorems for multi-valued nonlinear contraction
mappings in partially ... below).
For information about publishing your research in Fixed Point Theory and Applications go to
http://www.fixedpointtheoryandapplications.com/authors/instructions/
For inf...
... Hil-
bert space.
In 2008, Kohsaka and Takahashi [6] introduced nonspreading mapping and obtained
a fixe d point theorem for a single nonspr eading mapping and a common fixed point
theorem for ... mappings contain some important classes of
nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We
prove fixed point theorems, ergodic theorems, demiclosed principl...
... mappings in a Hil-
bert space.
In 2008, Kohsaka and Takahashi [6] introduced nonspreading mapping and obtained
a fixe d point theorem for a single nonspr eading mapping and a common fixed point
theorem ... mappings contain some important classes of
nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We
prove fixed point theorems, ergodic theorems, demiclo...
... A.AhmadandM.Imdad,On common fixed point of mappings and multivalued mappings,Rad.
Mat. 8 (1992), no. 1, 147–158.
[2] , Some common fixed point theorems for mappings and multi-valued mappings,J.Math.
Anal. Appl. ... Fixed point theorems for compatible multi-valued and single-valued
mappings, Int. J. Math. Math. Sci. 12 (1989), no. 2, 257–262.
FIXED POINT THEOREMS FOR A FAMILY OF HY...
... point theorems for new nonlinear mappings in a Hilbert spaces. J Nonlinear Convex Anal. 11,
79–88 (2010)
17. Takahashi, W, Yao, JC: Fixed point theorems and ergodic theorems for nonlinear mappings ... exactly one point.
Remark 4.1. The conclusion of Lemma 4.1 is still true if T : C ® X is any one of
nonexpansive mapping, nonspreading mapping, TJ-1 mapping, TJ-2 mapping, an...
... point theory in extension-type spaces. These results are
then used to obtain a number of new fixed point theorems, one concerning approximate
neighborhood extension spaces and another concerning ... 1.4 in proving the existence of fixed points in uniform spaces
for upper semicontinuous compact maps with closed values, it suffices [ 6, page 298] to
prove the existence of approximate fixe...
... [8] introduced a new class of nonlinear mappings in
a Hilbert space containing the classes of nonexpansive mappings, nonspreading
mappings and hybrid mappings. For λ ∈ R, they call a mapping ... nonexpan-
sive mappings and nonspreading mappings in a Hilb ert space. Nonlinear Anal.
71, 2082–2089 (2009)
[4] Kohsaka, F, Takahashi, W: Fixed point theorems for a class of nonlinear
mappin...