The super fixed point property for asymptotically nonexpansive mappings

Andrzej Wiśnicki

Fundamenta Mathematicae (2012)

  • Volume: 217, Issue: 3, page 265-277
  • ISSN: 0016-2736

Abstract

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We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.

How to cite

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Andrzej Wiśnicki. "The super fixed point property for asymptotically nonexpansive mappings." Fundamenta Mathematicae 217.3 (2012): 265-277. <http://eudml.org/doc/282740>.

@article{AndrzejWiśnicki2012,
abstract = {We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.},
author = {Andrzej Wiśnicki},
journal = {Fundamenta Mathematicae},
keywords = {fixed point property; nonexpansive mapping; asymptotically nonexpansive mapping; ultrapower; common fixed point},
language = {eng},
number = {3},
pages = {265-277},
title = {The super fixed point property for asymptotically nonexpansive mappings},
url = {http://eudml.org/doc/282740},
volume = {217},
year = {2012},
}

TY - JOUR
AU - Andrzej Wiśnicki
TI - The super fixed point property for asymptotically nonexpansive mappings
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 3
SP - 265
EP - 277
AB - We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.
LA - eng
KW - fixed point property; nonexpansive mapping; asymptotically nonexpansive mapping; ultrapower; common fixed point
UR - http://eudml.org/doc/282740
ER -

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