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Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

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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… Click to show full 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.

Keywords: modular function; quasi contractive; multivalued quasi; mappings modular; function spaces

Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2019

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