Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras

Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras

The notion of C-class functions in Banach algebras is introduced. By using such concept, a new fixed point theorem is established. An example to illustrate main theorem is given. Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given.

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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-8
1. Verfasser: Cho, Seong-Hoon
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Contraction
Estimating techniques
Fixed points (mathematics)
Theorems
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Beschreibung
Zusammenfassung:The notion of C-class functions in Banach algebras is introduced. By using such concept, a new fixed point theorem is established. An example to illustrate main theorem is given. Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/9395057