Some fixed point theorems for kannan mapping in the modular spaces Report as inadecuate




Some fixed point theorems for kannan mapping in the modular spaces - Download this document for free, or read online. Document in PDF available to download.

Ciência e Natura 2015, 37 6-1

Author: S. J. Hosseini Ghoncheh

Source: http://www.redalyc.org/articulo.oa?id=467547682053


Teaser



Ciência e Natura ISSN: 0100-8307 cienciaenaturarevista@gmail.com Universidade Federal de Santa Maria Brasil Hosseini Ghoncheh, S.
J. Some fixed point theorems for Kannan mapping in the modular spaces Ciência e Natura, vol.
37, núm.
6-1, 2015, pp.
462-466 Universidade Federal de Santa Maria Santa Maria, Brasil Available in: http:--www.redalyc.org-articulo.oa?id=467547682053 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative 462 Ciência eNatura, Santa Maria, v.
37 Part 1 , p.
462−466 ISSN impressa: 0100-8307 ISSN on-line: 2179-460X Some fixed point theorems for Kannan mapping in the modular spaces S.
J.
Hosseini Ghoncheh Department of Mathematics, College of Science, Takestan Branch, Islamic Azad University, Takestan, Iran.
sjhghoncheh@gmail.com, sjhghoncheh@tiau.ac.ir Abstract In this article, a new version of Kannan mapping theorem in modular space is presented.
The main result of this paper is the existence of fixed point of Kannan mapping in complete modular spaces that have Fatou property. Key words: Fixed point, Kannan map, Modular space. AMS subject classification: 47H10, 46A19, 46B20, 47H09. 463 (b) 𝜌 −Cauchy if 𝑛, 𝑚 → ∞. 1 Introduction In this article, existence of a fixed point of Kannan mapping in the modular space is proved.
The theory of this space was initiated by Nakano [9] in 1950 in connection with the theory of order spaces and redefined and generalized by Musielak and Orlicz [8] in 1959.
In order to do this and for the sake of convenience, some definitions and notations are recalled from [2],[3], [4], [5], [7], [8], [9] and [10]. Definition 1.1 Let X be an arbitrary vector space over K(= R or C). A functional 𝜌: 𝑋 → [0, ∞) is called modular if: 1.
𝜌(𝑥) = 0 if and only ...





Related documents