### Computing the topological degrees via semi-concave functionals

#### Abstract

We construct two retracts in Banach spaces

and compute the topological degree for completely continuous

operator by means of semi-concave functional. The results extend

and complement the previous conclusions.

and compute the topological degree for completely continuous

operator by means of semi-concave functional. The results extend

and complement the previous conclusions.

#### Keywords

Topological degree; fixed point theorem; retract; semi-concave functional

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