A New Iterative Sequence of (λ, ρ)-Firmly Nonexpansive Multi-Valued Mappings in Modular Function Spaces with Applications

Abstract

The fixed point theory is of great importance as it is used as an application for solving differential equations for different types of equations and various applications in physical, engineering, and statistical sciences. This investigation aims to define (λ, ρ)firmly nonexpansive multivalued mappings in modular function spaces and to introduce a new iterative algorithm. Accordingly, some results of approximating fixed points for these mappings are proved with an example. Further, the concept of stability is discussed and supported by an example.

افضل تقريب في فضاءات b - المعيارية

“…It was then redefined with some modification by Musielak and Ortiz in 1959 In 2017, the best approximation modular spaces have been defined by Abed 8 and results about proximinal set, Chebysev set are proven also, see 9 . Various results in modular spaces and other related spaces about fixed point problem can be seen in Turkoglu and Nesrin 9 , Albundi 10 , Abdul Jabbar and Abed 11,12 , Ahmed 13 , Mohammed and Abed 14 , Pathak and Beg 15 , Abed and Abdul Jabbar 16,17 , Ege and, Alac 18 also Abed and Salman 19 .…”