A viscosity type iteration by weak contraction for approximating solutions of generalized equilibrium problem | Zendy

Binayak S. Choudhury | Zendy; Subhajit Kundu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A viscosity type iteration by weak contraction for approximating solutions of generalized equilibrium problem

Author(s) -

Binayak S. Choudhury,

Subhajit Kundu

Publication year - 2012

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.005.03.08

Subject(s) - mathematics , contraction (grammar) , viscosity , type (biology) , mathematical analysis , thermodynamics , physics , medicine , ecology , biology

Viscosity iterations which include contraction mapping have been widely used to find solutions of equilibrium problems. Here we introduce a modification of the viscosity iteration scheme by replacing the contraction with a weak contraction. Weakly contractive mappings are intermediate to contractive and nonexpansive mappings and are known to have unique fixed points in complete metric spaces. We apply this iteration to the case of a generalized equilibrium problem. The special case where the weak contraction is a contraction has also been discussed. c ©2012 NGA. All rights reserved.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research