Sign in
Fixed point theorems in modular vector spaces
Journal article   Open access

Fixed point theorems in modular vector spaces

Afrah A. N. Abdou and Mohamed A. Khamsi
The journal of nonlinear sciences and its applications, Vol.10(8), pp.4046-4057
06/08/2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we initiate the metric fixed point theory in modular vector spaces under Nakano formulation. In particular, we establish an analogue to Banach contraction principle, Browder and Gohde fixed point theorems for nonexpansive mappings in the modular sense. Then we finish by proving a common fixed point result of a commutative family of nonexpansive mappings in the modular sense. (C) 2017 All rights reserved.
url
https://doi.org/10.22436/jnsa.010.08.01View
Published (Version of record) Open

Metrics

1 Record Views

Details