Fixed Points for Banach and Kannan Contractions in Modular Spaces with a Graph

2013/04/25 by Aris Aghanians, Aghanians, Aris, Kourosh Nourouzi +1
Mathematics · #05C40 #46A80 #47H10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:05C40 #msc:46A80 #msc:47H10

paper · pdf · doi:10.48550/arxiv.1304.6941

12 pages

arxiv created 2013/04/25 · arxiv updated 2013/04/26

Abstract

In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan \widetilde G-ρ-contractions defined on modular spaces endowed with a graph without using the Δ₂-condition or the Fatou property.

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