A Fixed Point Theorem for Non-Expansive Mappings on Star-Shaped Domains | Zendy

Jürgen Schu | Zendy

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A Fixed Point Theorem for Non-Expansive Mappings on Star-Shaped Domains

Author(s) -

Jürgen Schu

Publication year - 1991

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/464

Subject(s) - fixed point theorem , mathematics , expansive , fixed point , star (game theory) , connection (principal bundle) , product (mathematics) , kakutani fixed point theorem , scheme (mathematics) , pure mathematics , discrete mathematics , schauder fixed point theorem , brouwer fixed point theorem , mathematical analysis , physics , geometry , compressive strength , thermodynamics

It is shown that some modification of the fixed point theorem of Browder, Gohde and Kirk remains valid on star-shaped domains as well. Additionally, we will give an iteration scheme for the approximation of some fixed point of the mapping under consideration. Finally, in connection with the result above, two characterizations of inner product spaces will be obtained.

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