- They are also
called Lipschitz functions with
Lipschitz constant 1,
nonexpansive maps,
nonexpanding maps, weak contractions, or
short maps. Specifically...
- y)=\|x-y\|} . This is a
special case of α {\displaystyle \alpha }
averaged nonexpansive operators with α = 1 / 2 {\displaystyle \alpha =1/2} . A
firmly non-expansive...
- the
extended pseudoquasimetric spaces,
along with
their corresponding nonexpansive maps, are the best
behaved of the
metric space categories. One can take...
- {\displaystyle d(f(x),f(y))\leq d(x,y)} ; that is, f {\displaystyle f} is
nonexpansive. A
retract of a
space X {\displaystyle X} is a
subspace of X {\displaystyle...
- property. Fixed-point
theorems Banach fixed-point
theorem Felix E. Browder,
Nonexpansive nonlinear operators in a
Banach space. Proc. Natl. Acad. Sci. U.S.A....
-
Kazimierz (1970). "Convexity of
balls and fixed-point
theorems for
mappings with
nonexpansive square".
Compositio Mathematica. 22 (3): 269–274. v t e...
- "Weak
convergence of the
sequence of
successive approximations for
nonexpansive mappings" (PDF). Bull. Amer. Math. Soc. 73 (4): 591–597. doi:10...
-
MathSciNet [4] Kohlberg, E. and Neyman, A (1981)., "Asymptotic
Behavior of
Nonexpansive Mappings in
Normed Linear Spaces,"
Israel Journal of Mathematics, 38...
-
convergence of
certain iterative algorithms to
fixed points of a
given nonexpansive self-map of a
closed convex subset of
Hilbert space.[L77] In collaboration...
-
Henry E.; Merrill,
William Stetson (1938). "Comments on the
Proposed Nonexpansive classification System". The
Library Quarterly: Information, Community...
