Robustness of Theta Method for Nonexpansive Mappings

Rahul Shukla; Rajendra Pant

doi:10.1007/s40995-018-00675-0

Robustness of Theta Method for Nonexpansive Mappings

Rahul Shukla
, Rajendra Pant

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

2 Citations (Scopus)

Abstract

In this paper, we approximate fixed points of nonexpansive mappings in Hilbert spaces using an implicit method. More precisely, we study weak and strong convergence results for θ-method with small perturbations. Some illustrative examples and numerical computations show the usefulness of our theorems. We also present an application of our results to integral equations.

Original language	English
Pages (from-to)	2275-2284
Number of pages	10
Journal	Iranian Journal of Science and Technology, Transaction A: Science
Volume	43
Issue number	5
DOIs	https://doi.org/10.1007/s40995-018-00675-0
Publication status	Published - 1 Oct 2019
Externally published	Yes

Keywords

Nearest projection
Nonexpansive mapping
Theta method

ASJC Scopus subject areas

General Chemistry
General Mathematics
General Agricultural and Biological Sciences
General Physics and Astronomy
General Earth and Planetary Sciences

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10.1007/s40995-018-00675-0

Cite this

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title = "Robustness of Theta Method for Nonexpansive Mappings",

abstract = "In this paper, we approximate fixed points of nonexpansive mappings in Hilbert spaces using an implicit method. More precisely, we study weak and strong convergence results for θ-method with small perturbations. Some illustrative examples and numerical computations show the usefulness of our theorems. We also present an application of our results to integral equations.",

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AU - Shukla, Rahul

AU - Pant, Rajendra

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AB - In this paper, we approximate fixed points of nonexpansive mappings in Hilbert spaces using an implicit method. More precisely, we study weak and strong convergence results for θ-method with small perturbations. Some illustrative examples and numerical computations show the usefulness of our theorems. We also present an application of our results to integral equations.

KW - Nearest projection

KW - Nonexpansive mapping

KW - Theta method

UR - https://www.scopus.com/pages/publications/85073247381

U2 - 10.1007/s40995-018-00675-0

DO - 10.1007/s40995-018-00675-0

M3 - Article

AN - SCOPUS:85073247381

SN - 1028-6276

VL - 43

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JO - Iranian Journal of Science and Technology, Transaction A: Science

JF - Iranian Journal of Science and Technology, Transaction A: Science

IS - 5

ER -

Robustness of Theta Method for Nonexpansive Mappings

Abstract

Keywords

ASJC Scopus subject areas

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