A new class of nonexpansive type mappings and fixed points

Ljubomir B. Ćirić

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 4, page 891-899
  • ISSN: 0011-4642

Abstract

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In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.

How to cite

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Ćirić, Ljubomir B.. "A new class of nonexpansive type mappings and fixed points." Czechoslovak Mathematical Journal 49.4 (1999): 891-899. <http://eudml.org/doc/30533>.

@article{Ćirić1999,
abstract = {In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.},
author = {Ćirić, Ljubomir B.},
journal = {Czechoslovak Mathematical Journal},
keywords = {nonexpansive type mapping; asymptotically regular mapping; fixed point; nonexpansive type mapping; asymptotically regular mapping; fixed point},
language = {eng},
number = {4},
pages = {891-899},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new class of nonexpansive type mappings and fixed points},
url = {http://eudml.org/doc/30533},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Ćirić, Ljubomir B.
TI - A new class of nonexpansive type mappings and fixed points
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 891
EP - 899
AB - In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
LA - eng
KW - nonexpansive type mapping; asymptotically regular mapping; fixed point; nonexpansive type mapping; asymptotically regular mapping; fixed point
UR - http://eudml.org/doc/30533
ER -

References

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