Publication detail

Some generalizations of Banach fixed point theorem I.

ŠMARDA, Z. FAJMON, B.

Original Title

Some generalizations of Banach fixed point theorem I.

English Title

Some generalizations of Banach fixed point theorem I.

Type

conference paper

Language

en

Original Abstract

In the paper the fixed point theorems are presented, which assert that every complete metric space is a fixed point space for the class of contractive mappings. The obtained results outgoing from the classical Banach fixed point theorem generalize contractive conditions which do not imply the continuity of an operator. The illustrative example is given, as well.

English abstract

In the paper the fixed point theorems are presented, which assert that every complete metric space is a fixed point space for the class of contractive mappings. The obtained results outgoing from the classical Banach fixed point theorem generalize contractive conditions which do not imply the continuity of an operator. The illustrative example is given, as well.

Keywords

Banach fixed point theorem

RIV year

2010

Released

02.02.2010

Location

Bratislava

ISBN

978-80-89313-47-1

Book

Proceedings of the 9th International Conference APLIMAT 2010

Edition number

1

Pages from

149

Pages to

154

Pages count

6

BibTex


@inproceedings{BUT29813,
  author="Zdeněk {Šmarda} and Břetislav {Fajmon}",
  title="Some generalizations of Banach fixed point theorem I.",
  annote="In the paper the fixed point theorems are presented, which assert that every
complete metric space is a fixed point space for the class of contractive mappings. The
obtained results outgoing from the classical Banach fixed point theorem generalize contractive
conditions which do not imply the continuity of an operator. The illustrative
example is given, as well.",
  booktitle="Proceedings of the 9th International Conference APLIMAT 2010",
  chapter="29813",
  howpublished="electronic, physical medium",
  year="2010",
  month="february",
  pages="149--154",
  type="conference paper"
}