We establish some new common coupled fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space setting.
Among investigations of coupled fixed point results for nonlinear operators in the ordered Banach space setting, there are more results on the existence of coupled fixed points than on the existence of common coupled fixed points of a pair of operators, and most of these results were established for mixed monotone operators; see for instance [2 8] and the references therein.
First, initial biochemical model seeds are synthesised by employing a pair of operators 'Addition and Subtraction' to compose biochemical components from a pre-specified component library, before we perform model topological exploration and rate constants optimisation.
In our adaptation of this methodology, where normally a single operator assays the same samples twice, data from a pair of operators who assayed the same samples a single time were substituted into the calculations, as described in full detail recently [ 15].
In our adaptation of this methodology, where normally a single operator assays the same samples twice (or more), data from a pair of operators who assayed the same samples a single time were substituted into the calculations in order to characterise the relative error introduced by each.
A linear operator acting from a space D into a direct product B × R n is defined by a pair of linear operators δ : D → B and r : D → R n so that [ δ, r ] x = { δ x, r x }, x ∈ D. (3).
In non-chronological chapters, we meet her childlike father in Bangkok, her cartoonishly accented Russian companion in New York, and a pair of shadowy operators who seem to influence her international movements.
Then (A tau^)) and (A^ ) are a pair of adjoint operators.
This allows us to establish the semi-continuity of the generalized Samuel multiplicities for a pair of commuting operators.
The Lifting Problem for Commuting Subnormals (LPCS) asks for necessary and sufficient conditions for a pair of subnormal operators on Hilbert space to admit commuting normal extensions.
