The existence of ϒ-fixed point for the multidimensional nonlinear mappings satisfying (ψ, θ, ϕ)-weak contractive conditions

In this paper we prove the existence of ϒ-fixed point for a multidimensional nonlinear mappings F : Xk → X defined on the partially ordered metric spaces and satisfying (ψ, θ, ϕ)-weak contractive conditions. Moreover, we prove the uniqueness of that fixed point under extra conditions to (ψ, θ, ϕ)-we...

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Main Authors: Akhadkulov, Habibulla, Rahma Zuhra,, Azizan Saaban,, Shaddad, Fawzia, Akhatkulov, Sokhobiddin
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:http://journalarticle.ukm.my/11155/1/21%20Habibulla.pdf
http://journalarticle.ukm.my/11155/
http://www.ukm.my/jsm/malay_journals/jilid46bil8_2017/KandunganJilid46Bil8_2017.html
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Summary:In this paper we prove the existence of ϒ-fixed point for a multidimensional nonlinear mappings F : Xk → X defined on the partially ordered metric spaces and satisfying (ψ, θ, ϕ)-weak contractive conditions. Moreover, we prove the uniqueness of that fixed point under extra conditions to (ψ, θ, ϕ)-weak contractive conditions.