Scientific articles

On random equilibrium points

V. V. Obukhovskii, E. N. Getmanova, M. G. Karpov

Voronezh State Pedagogical University

Abstract: We present a random version of a theorem on equilibrium points for two parametrized multivalued maps satisfying a joint Caristi type condition.

Keywords: random equilibrium point; random fixed point; Caristi's theorem; random multivalued map; measurable multivalued map; Carathéodory multivalued map.

UDC: 517.988

Received: 16.01.2019

DOI: 10.20310/1810-0198-2019-24-125-112-118

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