A topological characterization of the existence of fixed points and applications | Zendy

Khanh Phan Quoc | Zendy; Quan Nguyen Hong | Zendy

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A topological characterization of the existence of fixed points and applications

Author(s) -

Khanh Phan Quoc,

Quan Nguyen Hong

Publication year - 2014

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201300003

Subject(s) - mathematics , characterization (materials science) , convexity , fixed point , generalization , fixed point property , topology (electrical circuits) , fixed point theorem , pure mathematics , mathematical analysis , combinatorics , materials science , nanotechnology , financial economics , economics

We prove a topological two‐way characterization of the existence of fixed‐points, without using linear or convexity structures and provide applications in optimization‐related problems. Such a characterization is also demonstrated for a fixed‐component point, a slight generalization of a fixed point.

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