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DEMARR'S FIXED POINT THEOREM IN MODULAR VECTOR SPACES
Journal article   Peer reviewed

DEMARR'S FIXED POINT THEOREM IN MODULAR VECTOR SPACES

Afrah A. N. Abdou and Mohamed A. Khamsi
Journal of nonlinear and convex analysis, Vol.19(7), pp.1083-1091
01/01/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we discuss the existence of common fixed points of a family of mappings defined in modular vector spaces. This is the extension of the original DeMarr's common fixed point theorem to modular vector spaces. In order to do this, we prove that the fixed point set of one map is a one-local retract. This property is crucial to prove the main common fixed point theorem of this work.

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