Convexity of balls and fixed-point theorems for mappings with nonexpansive square

K. Goebel

Compositio Mathematica (1970)

  • Volume: 22, Issue: 3, page 269-274
  • ISSN: 0010-437X

How to cite

top

Goebel, K.. "Convexity of balls and fixed-point theorems for mappings with nonexpansive square." Compositio Mathematica 22.3 (1970): 269-274. <http://eudml.org/doc/89058>.

@article{Goebel1970,
author = {Goebel, K.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {269-274},
publisher = {Wolters-Noordhoff Publishing},
title = {Convexity of balls and fixed-point theorems for mappings with nonexpansive square},
url = {http://eudml.org/doc/89058},
volume = {22},
year = {1970},
}

TY - JOUR
AU - Goebel, K.
TI - Convexity of balls and fixed-point theorems for mappings with nonexpansive square
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 3
SP - 269
EP - 274
LA - eng
UR - http://eudml.org/doc/89058
ER -

References

top
  1. C. Bessaga [1] Every infinite-dimensiona 1 Hilbert space is diffeomorphic with its unit sphere. Bull. Acad. Polon. Sci.19 (1966), pp. 27-31. Zbl0151.17703MR193646
  2. M.S. Brodskii AND D.P. Milman [2] On the center of a convex set, Dokl. Acad. Nauk SSSR N.S., 59 (1948) pp. 837-840. Zbl0030.39603MR24073
  3. F.E. Browder [3] Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. USA54 (1965), pp. 1041-1044. Zbl0128.35801MR187120
  4. J.A. Clarcson [4] Uniformly convex spaces, Trans. Amer. Math. Soc.40 (1936), pp 396-414. Zbl0015.35604MR1501880JFM62.0460.04
  5. R.C. James [5] Uniformly non-square Banach spaces, Ann. of Math.80 (1964), pp. 542-550. Zbl0132.08902MR173932
  6. W.A. Kirk [6] A fixed point theorems for mappings which do not increase distances, Amer. Math. Monthly72 (1965) pp. 1004-1006. Zbl0141.32402MR189009
  7. Z. Opial [7] Lecture notes on nonexpansive and monotone mappings in Banach spaces, Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island USA (1967). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.