Sentence examples for mappings was solved from inspiring English sources
The case of approximately additive mappings was solved by Hyers [2].
The case of approximately additive mappings was solved by Hyers [2] on Banach spaces.
The case of approximately additive mappings was solved by Hyers [2] under the assumption that and are Banach spaces.
The case of approximately additive mappings was solved by D. H. Hyers [2] under the assumption that G1 and G2 are Banach spaces.
for all then a homomorphism exists with for all The problem for the case of the approximately additive mappings was solved by Hyers [2] when and are Banach space.
In 1940, Ulam [31] raised a question concerning the stability of group homomorphisms as follows: The case of approximately additive mappings was solved by Hyers [16] under the assumption that G 2 is a Banach space.
By contrast, the 2-phase-mapping solution is solved for optimization, resulting in minimal cost.
Nonsmooth convex optimization problems are solved over fixed point sets of nonexpansive mappings by using a distributed optimization technique.
The approximate problems are designed in such a way that they can be solved using standard numerical methods, and one can avoid using concepts such as set valued mappings.
