Abstract
In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.
| Original language | English |
|---|---|
| Pages (from-to) | 1065-1081 |
| Number of pages | 17 |
| Journal | Open Mathematics |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| State | Published - 25 Sep 2019 |
Keywords
- common fixed points
- dislocated cone b-metric space
- dislocated quasi cone b-metric space
- generalised contraction mappings
- weak semi α-admissible pair of mappings
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