Approximation of Fixed Points of (λ, ρ)-Quasi Firmly Nonexpansive Mappings

Abstract

The purpose of this paper is to introduce (λ, ρ)-quasi firmly nonexpansive mappings in context of modular function spaces and to prove some basic properties and approximation results for fixed point for these mappings. Further we discuss the concept of summably almost T-stability and also some examples are provided to support our results.

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

“…With the introduction of securely multivalued mappings and a new iterative technique and some comparison, the goal of this work is to extend the findings of prior studies, The following Figure in the study [7]: it is convergence and stabile to fixed point in the framework of modular function spaces confirming the results an example and tables are provided. Further, we mention to utilize our proposed algorithm in solve differential equation as an application.…”

“…By Lemma 3, Definitions (7,11) ) = 0, therefore f=g, then T has unique fixed point f, 𝑓 𝑛 converge to fixed point of T.…”

“…Hussain Khan [6] developed the notion of a strongly nonexpansive mapping from Banach spaces to modular function spaces. Additionally, Panwar [7] recently presented some findings in this area as shown in Figure 1. Only the fixed point theory for single-valued mappings acting in modular function spaces was addressed by Kozlowski [8].…”