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math.FA2013
A Note on the Caristi Fixed Point Theorem
Oleg Zubelevich
We generalise the Caristi Fixed Point Theorem to the mappings of the complete semi-metric spaces.
math.AP2013
On Semilinear Elliptic Equation with Measurable Nonlinearity
Oleg Zubelevich
We consider a semilinear elliptic equation in a bounded domain with zero boundary conditions. The nonlinearity is discontinuous and monotone, but it is not a Carathéodory's functio…