FAN-BROWDER TYPE FIXED POINT THEOREMS AND APPLICATIONS IN HADAMARD MANIFOLDS

Won Kyu Kim

Abstract


In this paper, we provide two basic Fan-Browder type fixed point theorems for multimaps on geodesic convex sets in Hadamard manifolds. Also, an existence theorem of Nash equilibrium for an 1-person game in Hadamard manifolds is established.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea