Detail publikace

Some generalizations of Banach fixed point theorem I.

ŠMARDA, Z. FAJMON, B.

Originální název

Some generalizations of Banach fixed point theorem I.

Anglický název

Some generalizations of Banach fixed point theorem I.

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

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"
}