Abstract
Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces. We prove some interesting theorems for ρ-quasi-nonexpansive mappings using the Picard-Krasnoselskii hybrid iterative process. We apply our results to solving certain initial value problem.
Highlights
Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces
We prove some interesting theorems for ρ-quasi-nonexpansive mappings using the PicardKrasnoselskii hybrid iterative process
The purpose of this paper is to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces
Summary
Khan and Abbas [1] initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in the framework of modular function spaces [1]. A very recent work was given by Khan et al [12] They approximated the fixed points of ρ-quasi-nonexpansive multivalued mappings in modular function spaces using a three-step iterative process, where ρ satisfies the so-called Δ 2condition. Their results improve and generalize the results of Khan and Abbas [1]. We apply our results in solving certain initial value problem
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