Viscosity approximations methods for (ψ, φ) -weakly contractive mappings

Swaminath Mishra; Rajendra Pant; Rekha Panicker

doi:10.1186/s13663-016-0585-5

Viscosity approximations methods for (ψ, φ) -weakly contractive mappings

Swaminath Mishra, Rajendra Pant, Rekha Panicker

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study viscosity approximations with (ψ, φ) -weakly contractive mappings. We show that Moudafi’s viscosity approximations follow from Browder and Halpern type convergence theorems. Our results generalize a number of convergence theorems including a strong convergence theorem of Song and Liu (Fixed Point Theory Appl. 2009:824374, 2009).

Original language	English
Article number	100
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13663-016-0585-5
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

(ψ, φ) -weakly contractive mappings
Browder type convergence
Halpern type convergence
Moudafi’s viscosity approximations

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-016-0585-5

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abstract = "In this paper, we study viscosity approximations with (ψ, φ) -weakly contractive mappings. We show that Moudafi{\textquoteright}s viscosity approximations follow from Browder and Halpern type convergence theorems. Our results generalize a number of convergence theorems including a strong convergence theorem of Song and Liu (Fixed Point Theory Appl. 2009:824374, 2009).",

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AB - In this paper, we study viscosity approximations with (ψ, φ) -weakly contractive mappings. We show that Moudafi’s viscosity approximations follow from Browder and Halpern type convergence theorems. Our results generalize a number of convergence theorems including a strong convergence theorem of Song and Liu (Fixed Point Theory Appl. 2009:824374, 2009).

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KW - Halpern type convergence

KW - Moudafi’s viscosity approximations

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Viscosity approximations methods for (ψ, φ) -weakly contractive mappings

Abstract

Keywords

ASJC Scopus subject areas

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