Abstract
In this work, a new class of variational inclusion involving T-accretive operators in Banach spaces is introduced and studied. New iterative algorithms for stability for their class of variational inclusions and its convergence results are established.
Highlights
IntroductionVariational inequality theory provides us with a simple, natural, general and unified framework for studying a wide range of unrelated problems arising in mechanics, physics, optimization and control theory nonlinear programming, economics, transportation, equilibrium and engineering sciences
Variational inequality theory provides us with a simple, natural, general and unified framework for studying a wide range of unrelated problems arising in mechanics, physics, optimization and control theory nonlinear programming, economics, transportation, equilibrium and engineering sciences.In recent years, variational inequality has been extended and generalized in different direction
Suppose E is a real Banach space with dual space E*, norm . and dual pairing .,. , 2E is the family of all nonempty subsets of E, CB(E) is the family of all nonempty closed bounded subset of E and the generalized duality mapping Jq : E 2E is defined by
Summary
Variational inequality theory provides us with a simple, natural, general and unified framework for studying a wide range of unrelated problems arising in mechanics, physics, optimization and control theory nonlinear programming, economics, transportation, equilibrium and engineering sciences. Variational inequality has been extended and generalized in different direction. A useful and important generalization of the variational inequality is called variational inclusions see [1,2,3,4,5,6,7]. Suppose E is a real Banach space with dual space E*, norm . 2E is the family of all nonempty subsets of E, CB(E) is the family of all nonempty closed bounded subset of E and the generalized duality mapping Jq : E 2E is defined by. J2 is the usual normalized duality mapping.
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