Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces. Issue 1 (8th February 2019)

• Record Type: Journal Article
• Authors: Okeke, Godwin Amechi; Khan, Safeer Hussain
• Is Part Of: Arab journal of mathematical sciences. Volume 26:Issue 1/2(2020)
• Page Start: 75
• Page End: 93
• Publication Date: 2019-02-08
• Subjects: Multivalued ρ -- -quasi-contractive mappings -- Multivalued mappings -- Approximation of fixed point -- Modular function spaces -- S-iterative process -- ρ-T-stable, ρ-almost T-stable -- ρ-summably almost T-stable; 47H09 -- 47H10 -- 49M05 -- 54H25
• DOI: 10.1016/j.ajmsc.2019.02.001
• Languages: English
• ISSNs: 1319-5166

Abstract

Abstract : The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ -quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of T -stability, almost T -stability and summably almost T -stability to modular function spaces and give some results.