An iteration process for nonlinear mappings in uniformly convex linear metric spaces

Ismat Beg

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 2, page 405-412
  • ISSN: 0011-4642

Abstract

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We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.

How to cite

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Beg, Ismat. "An iteration process for nonlinear mappings in uniformly convex linear metric spaces." Czechoslovak Mathematical Journal 53.2 (2003): 405-412. <http://eudml.org/doc/30786>.

@article{Beg2003,
abstract = {We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.},
author = {Beg, Ismat},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear metric space; fixed point; uniformly convex; linear metric space; fixed point; uniform convexity; Cauchy Picard sequence; Tricomi mapping; uniformly convex space},
language = {eng},
number = {2},
pages = {405-412},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An iteration process for nonlinear mappings in uniformly convex linear metric spaces},
url = {http://eudml.org/doc/30786},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Beg, Ismat
TI - An iteration process for nonlinear mappings in uniformly convex linear metric spaces
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 405
EP - 412
AB - We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
LA - eng
KW - linear metric space; fixed point; uniformly convex; linear metric space; fixed point; uniform convexity; Cauchy Picard sequence; Tricomi mapping; uniformly convex space
UR - http://eudml.org/doc/30786
ER -

References

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  13. Fixed point theorems in certain convex metric spaces, Math. Japon. 37 (1992), 855–859. (1992) MR1186552
  14. 10.12775/TMNA.1996.028, Topol. Methods Nonlinear Anal. 8 (1996), 197–203. (1996) MR1485764DOI10.12775/TMNA.1996.028
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