Firmly pseudo-contractive mappings and fixed points

Birendra Kumar Sharma; Daya Ram Sahu

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 1, page 101-108
  • ISSN: 0010-2628

Abstract

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We give some fixed point theorems for firmly pseudo-contractive mappings defined on nonconvex subsets of a Banach space. We also prove some fixed point results for firmly pseudo-contractive mappings with unbounded nonconvex domain in a reflexive Banach space.

How to cite

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Sharma, Birendra Kumar, and Sahu, Daya Ram. "Firmly pseudo-contractive mappings and fixed points." Commentationes Mathematicae Universitatis Carolinae 38.1 (1997): 101-108. <http://eudml.org/doc/248084>.

@article{Sharma1997,
abstract = {We give some fixed point theorems for firmly pseudo-contractive mappings defined on nonconvex subsets of a Banach space. We also prove some fixed point results for firmly pseudo-contractive mappings with unbounded nonconvex domain in a reflexive Banach space.},
author = {Sharma, Birendra Kumar, Sahu, Daya Ram},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {firmly pseudo-contractive mappings on nonconvex domains; fixed points; firmly pseudo-contractive mappings on nonconvex domains; fixed points},
language = {eng},
number = {1},
pages = {101-108},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Firmly pseudo-contractive mappings and fixed points},
url = {http://eudml.org/doc/248084},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Sharma, Birendra Kumar
AU - Sahu, Daya Ram
TI - Firmly pseudo-contractive mappings and fixed points
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 1
SP - 101
EP - 108
AB - We give some fixed point theorems for firmly pseudo-contractive mappings defined on nonconvex subsets of a Banach space. We also prove some fixed point results for firmly pseudo-contractive mappings with unbounded nonconvex domain in a reflexive Banach space.
LA - eng
KW - firmly pseudo-contractive mappings on nonconvex domains; fixed points; firmly pseudo-contractive mappings on nonconvex domains; fixed points
UR - http://eudml.org/doc/248084
ER -

References

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  9. Ray W.O., Zeros of accretive operators defined on unbounded sets, Houston J. Math. 5 (1979), 133-139. (1979) Zbl0412.47032MR0533647
  10. Schu J., Iterative approximation of fixed point of nonexpansive mappings with starshaped domain, Comment. Math. Univ. Carolinae 31.2 (1990), 277-282. (1990) MR1077898
  11. Schu J., Approximation of fixed points of asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 112 (1991), 143-151. (1991) MR1039264
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  13. Williamson T.E., A geometric approach to fixed points of nonself mapping T : D → X , Contemp. Math. 18 (1983), 243-253. (1983) MR0728603

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