Here we remark that the results in [18, 19, 22] hold in partial ordered Banach spaces.
In this section, some fixed point theorems for multi-valued increasing and decreasing operators are proved in partial ordered Banach space.
Theorem 2.12 and Corollary 2.13 are, respectively, generalizations of the theorems of Mihet [19] and Tirado [20] to the set-valued case in partial ordered fuzzy metric spaces.
The adjacent nodes inequality results in partial orders in the tree and makes it possible to compare the likelihood of optimal sample paths associated with adjacent nodes without knowing the actual probability of the optimal sample path.
Our development also systematically explicates the tradeoffs among the spectrum of possible generalizations for POPI plans, and provides an empirical demonstration of the relative utility of EBG in partial ordering, as opposed to total ordering, planning frameworks.
On the other hand, existence of fixed points in partially ordered sets has been considered recently in [32], and some generalizations of the result of [32] are given in [1 3, 5 7, 11, 12, 14, 15, 17, 19, 24 27, 29, 30, 39, 40, 43] in partial ordered metric spaces.
Like the ROCK inhibitors, it traps the GRK2 kinase domain in a relatively closed conformation that results in partial ordering of the GRK2 AST, which forms van der Waals contacts with the piperidine B ring of the drug.
The different design choices in partial-order planning correspond to the different ways of instantiating the generalized algorithm.
In a partial order two objects can be in relation with each other, and are said to be comparable, or not, then they are said to be incomparable.
