Abstract
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we look at this problem in the variable exponent sequence spaces lp(.). We prove the modular version of most of the known facts about these maps in metric and Banach spaces. In particular, our results for Kannan nonexpansive maps in the modular sense were never attempted before.
Original language  British English 

Article number  578 
Journal  Mathematics 
Volume  8 
Issue number  4 
DOIs 

State  Published  1 Apr 2020 
Keywords
 Electrorheological fluids
 Fixed point
 Kannan contraction mapping
 Kannan nonexpansive mapping
 Modular vector spaces
 Nakano