Common fixed point theorem of N-order for W<inf>N</inf> -compatible mappings in cone metric spaces

Zaid Mohammed Fadail, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The existence and uniqueness of the common coupled and common triple fixed points in cone metric spaces have been studied. The concepts of coincidence point, point of coincidence and commonfixed point of N-order for mappings F: X<sup>N</sup> → X and g:X →X have been introduced recently in 2012. In this paper, we establish coincidence point of N-order theorem and common fixed point of N-order theorem for W<inf>N</inf> -compatible mappings in such spaces.The presented theorems extend and generalize several well-known comparable results in literature, in particular, the results of Fadail and Ahmad [6], Abbas et al. [13] and Aydi et al. [19].

Original languageEnglish
Pages (from-to)133-166
Number of pages34
JournalFar East Journal of Mathematical Sciences
Volume96
Issue number2
DOIs
Publication statusPublished - 2015

Fingerprint

Compatible Mappings
Cone Metric Space
Common Fixed Point
Fixed point theorem
Coincidence Point
Theorem
Triple Point
Coincidence
Existence and Uniqueness
Fixed point
Generalise

Keywords

  • Coincidence point of N-order
  • Common fixed point of N-order
  • Cone metric spaces
  • W<inf>N</inf> -compatible mappings

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Common fixed point theorem of N-order for W<inf>N</inf> -compatible mappings in cone metric spaces. / Fadail, Zaid Mohammed; Ahmad, Abd. Ghafur.

In: Far East Journal of Mathematical Sciences, Vol. 96, No. 2, 2015, p. 133-166.

Research output: Contribution to journalArticle

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