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Research Article

GENERALIZED \textit{H}- RESOLVENT EQUATION WITH $H-\phi-\eta$ ACCRETIVE OPERATOR

Z
Zubair Khan Department of Mathematics, Integral University, Lucknow-226026 (UP), INDIA
K
Khushbu Department of Mathematics, Integral University, Lucknow-226026 (UP), INDIA
M
Mohd. Asif Department of Mathematics, Integral University, Lucknow-226026 (UP), INDIA
Volume 16, Issue 2 Pages 57-70 August 30, 2020 221 downloads
Article overview

Abstract

In this paper, we consider extended variational-like inclusion problem (for short EVLIP) which contains many known variational inclusions existing in literature. In connection with EVLIP we consider a generalized resolvent equation problem with $H$-$\phi$-$\eta$-accretive operator called generalized $H$-resolvent equation problem (for short $H$-REP). To compute the approximate solution of $H$-REP, we introduce an algorithm. Convergence of sequences procreated by algorithm are also studied.

Keywords and Phrases

Extended Variational-Like InclusionResolvent OperatorGeneralized $H$-Resolvent EquationAlgorithmConvergence.

AMS Subject Classification

49J40, 47J20, 47H06, 49J53.

Reference information

How to Cite

Zubair Khan, Khushbu, Mohd. Asif (2020). GENERALIZED \textit{H}- RESOLVENT EQUATION WITH $H-\phi-\eta$ ACCRETIVE OPERATOR. South East Asian Journal of Mathematics and Mathematical Sciences, 16(2), 57-70.
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