A General Coincidence Theory for Set-Valued Maps | Zendy

Donal O’Regan | Zendy

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A General Coincidence Theory for Set-Valued Maps

Author(s) -

Donal O’Regan

Publication year - 1999

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/907

Subject(s) - coincidence , minimax , coincidence point , mathematics , graph , graph theory , fixed point theorem , discrete mathematics , set (abstract data type) , fixed point , combinatorics , mathematical economics , mathematical analysis , computer science , medicine , alternative medicine , pathology , programming language

We present in this paper a coincidence theory for maps with closed graph and maps with continuous selections. Our theory relies on a new fixed point theorem for maps with closed graph. In addition, new minimax theorems and variational inequalities are presented.

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