The phrase "weakly defined" is correct and can be used in written English.
It is often used when discussing something that lacks clarity or precision in its definition or description. Example: The terms of the contract were weakly defined, causing confusion and disagreements among the parties involved.
Note the weakly defined correlation of Ag-Ag interaction.
This paper introduces a finite element method by using a weakly defined gradient operator over generalized functions.
As a consequence, the Southbound API is weakly defined without proper specification and standardization.
Although NEC has been linked to a microbial etiology, associations with maternal intrapartum and resultant newborn early-onset invasive Group B streptococcus (EO-GBS) have been weakly defined.
It also examines the role and use of mathematical modelling in the area of soft measurement (non-physical, weakly defined measurement).
That is, an idea or concept that can support a community of practice, but is weakly defined fostering disagreement in the general group.
[Warning: Here the terminology in the literature varies a lot: "strongly represent" is sometimes called, e.g., "represent", "numeralwise express", "bi-numerate", "define" or "strongly define"; "weakly represent" is in turn also expressed, e.g., by "represent", "define", "weakly define", or "numerate".
Of course, Theorem 15 and Theorem 21 guarantee that every weakly contractive mapping and every weakly Kannan mapping defined in partial metric spaces are examples of p-Picard operators.
In the light of the theory exposed in Sections 2.1 and 2.2, in particular as a consequence of Theorem 15 and Theorem 21, every weakly contractive mapping and every weakly Kannan mapping defined in partial metric spaces are Picard operators in the sense of [39].
Alber and Guerre-Delabriere [15] introduced the notion of weakly contractive maps in Hilbert spaces and proved that any weakly contractive map defined on complete Hilbert spaces has a unique fixed point.
We can only obtain that is weakly sequence compact as a mapping from to which is the weakly compact set defined in Step 3. The construction of set overcomes the fault in [10], and we obtain the existence result finally.
