Open AccessOn Reich fixed point theorem of G -contraction mappings on modular function spaces
Author(s) -
Monther Rashed Alfuraidan
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.06.98
Subject(s) - mathematics , contraction (grammar) , fixed point theorem , modular design , pure mathematics , fixed point , mathematical analysis , computer science , medicine , operating system
We define the multivalued Reich (G, ρ)-contraction mappings on a modular function space. Then we obtain sufficient conditions for the existence of fixed points for such mappings. As an application, we introduce a ρ-valued Bernstein operator on the set of functions f : [0, 1] → Lρ and then give the modular analogue to Kelisky-Rivlin theorem. c ©2016 All rights reserved.
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