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H(·;·)-η-cocoercive operators and variational-like inclusions in Banach spaces.

Authors :
Ahmad, Rais
Dilshad, Mohammad
Source :
Journal of Nonlinear Sciences & Applications (JNSA); 2012, Vol. 5 Issue 5, p334-344, 11p
Publication Year :
2012

Abstract

In this paper, we define H(•;•)-η-cocoercive operators in q-uniformly smooth Banach spaces and its resolvent operator. We prove the Lipschitz continuity of the resolvent operator associated with H(•;•)-η-cocoercive operator and estimate its Lipschitz constant. By using the techniques of resolvent operator, an iterative algorithm for solving a variational-like inclusion problem is constructed. The existence of solution for the variational-like inclusions and the convergence of iterative sequences generated by the algorithm is proved. Some examples are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20081898
Volume :
5
Issue :
5
Database :
Complementary Index
Journal :
Journal of Nonlinear Sciences & Applications (JNSA)
Publication Type :
Academic Journal
Accession number :
83804379
Full Text :
https://doi.org/10.22436/jnsa.005.05.03