Also in the non-symmetry case (such spaces have a quasi-metric structure), many fixed point theorems follows directly from existing fixed point theorems on metric spaces.
Note that although if, it is not proven that since some of the existing fixed points for can mutually coincide or even more than one fixed point can eventually exist for each.
In [6], Roldán et al. proved that most of the multidimensional fixed point results can be derived from the existing fixed point theorems in the context of partially preordered metric spaces with the additional hypothesis of the mixed monotone property.
In the symmetric case, many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.
It is noticed in [35] that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.
It was observed that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.
It was observed that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of the existing fixed point theorems in metric spaces.
Profits from their existing fixed-line and mobile-telephone businesses are falling because of stiff competition.
"So as such, this is not a like for like comparison with his existing fixed rate," Mr Bunton says.
It can be either wirelessly connected to the Heat Link and your boiler, or wired if you have an existing fixed thermostat.
Delivering next-generation high-speed mobile and wireless broadband, the Digital Britain report proposes, should be achieved by switching the existing fixed 3G licences held by mobile operators to an indefinite term.
