A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
On some classes of operator inclusions with lower semicontinuous nonlinearities
2001
Topological Methods in Nonlinear Analysis
We consider a class of multimaps which are the composition of a superposition multioperator P F generated by a nonconvex-valued almost lower semicontinuous nonlinearity F and an abstract solution operator S. We prove that under some suitable conditions such multimaps are condensing with respect to a special vector-valued measure of noncompactness and construct a topological degree theory for this class of multimaps yielding some fixed point principles. It is shown how abstract results can be
doi:10.12775/tmna.2001.010
fatcat:tv7a4z3gjze55jmsyw7vcnbomy