Abstract
We introduce a class of subsets of Riemannian manifolds called the $L$-retract. Next we consider a topological degree for set-valued upper semicontinuous maps defined on open sets of compact $L$-retracts in Riemannian manifolds. Then, we present a theorem on the existence of equilibria (or zeros) of an upper semicontinuous set-valued map with nonempty closed convex values satisfying the tangency condition defined on a compact $L$-retract in a Riemannian manifold.
Citation
Seyedehsomayeh Hosseini. Mohamad R. Pouryayevali. "Equilibria on $L$-retracts in Riemannian manifolds." Topol. Methods Nonlinear Anal. 47 (2) 579 - 592, 2016. https://doi.org/10.12775/TMNA.2016.017
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