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H ((·,·),(·,·)) -mixed cocoercive operators with an application for solving variational inclusions in Hilbert spaces
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نویسنده
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husain s. ,gupta s.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We investigate a class of new h ((·,·),(·,·)) -mixed cocoercive operators in hilbert spaces. we extend the concept of resolvent operators associated with h (·,·) -cocoercive operators to the h ((·,·),(·,·)) -mixed cocoercive operators and prove that the resolvent operator of h ((·,·),(·,·)) -mixed cocoercive operator is single valued and lipschitz continuous. some examples are given to justify the definition of h ((·,·),(·,·)) -mixed cocoercive operators. further,by using resolvent operator technique,we discuss the approximate solution and suggest an iterative algorithm for the generalized mixed variational inclusions involving h ((·,·),(·,·)) -mixed cocoercive operators in hilbert spaces. we also discuss the convergence criteria for the iterative algorithm under some suitable conditions. our results can be viewed as a generalization of some known results in the literature. © 2013 shamshad husain and sanjeev gupta.
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آدرس
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department of applied mathematics,faculty of engineering and technology,aligarh muslim university, India, department of applied mathematics,faculty of engineering and technology,aligarh muslim university, India
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Authors
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