Approximating solution of split equality and equilibrium problems by viscosity approximation algorithms

Rahul Shukla; Rajendra Pant

doi:10.1007/s40314-018-0637-z

Approximating solution of split equality and equilibrium problems by viscosity approximation algorithms

Rahul Shukla, Rajendra Pant

Visvesvaraya National Institute of Technology

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

8 Citations (Scopus)

Abstract

In this paper, we employ viscosity approximation methods to solve split equality and generalized mixed equilibrium problems in Hilbert spaces. The iterative method considered herein does not require the prior estimations of spectral radii. Applications of obtained results have also been discussed. Finally, some numerical computations are presented.

Original language	English
Pages (from-to)	5293-5314
Number of pages	22
Journal	Computational and Applied Mathematics
Volume	37
Issue number	4
DOIs	https://doi.org/10.1007/s40314-018-0637-z
Publication status	Published - 1 Sept 2018
Externally published	Yes

Keywords

Equilibrium problem
Quasinonexpansive mapping
Variational inequality
Viscosity approximation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40314-018-0637-z

Cite this

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abstract = "In this paper, we employ viscosity approximation methods to solve split equality and generalized mixed equilibrium problems in Hilbert spaces. The iterative method considered herein does not require the prior estimations of spectral radii. Applications of obtained results have also been discussed. Finally, some numerical computations are presented.",

keywords = "Equilibrium problem, Quasinonexpansive mapping, Variational inequality, Viscosity approximation",

author = "Rahul Shukla and Rajendra Pant",

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AU - Pant, Rajendra

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AB - In this paper, we employ viscosity approximation methods to solve split equality and generalized mixed equilibrium problems in Hilbert spaces. The iterative method considered herein does not require the prior estimations of spectral radii. Applications of obtained results have also been discussed. Finally, some numerical computations are presented.

KW - Equilibrium problem

KW - Quasinonexpansive mapping

KW - Variational inequality

KW - Viscosity approximation

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ER -

Approximating solution of split equality and equilibrium problems by viscosity approximation algorithms

Abstract

Keywords

ASJC Scopus subject areas

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