Abstract
The aim of this paper is to introduce the new concept of ordered complete dislocated quasi G-metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equations. In this paper, we find the fixed point results for mappings satisfying the locally contractive conditions on a closed ball in an ordered complete dislocated quasi G-metric space. Our results improve several well known classical results.
| Original language | English |
|---|---|
| Pages (from-to) | 221-230 |
| Number of pages | 10 |
| Journal | Transactions of A. Razmadze Mathematical Institute |
| Volume | 171 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Aug 2017 |
| Externally published | Yes |
Keywords
- Banach mapping
- Closed ball
- Dominated mapping
- Fixed point
- Kannan mapping
- Ordered complete dislocated quasi metric spaces
ASJC Scopus subject areas
- General Mathematics
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