Generalized H(·,·,·)‎-η-Cocoercive Operators and Generalized Set-Valued Variational-Like Inclusions

المؤلفون المشاركون

Husain, Shamshad
Mishra, Vishnu Narayan
Gupta, Sanjeev

المصدر

Journal of Mathematics

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-10، 10ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-06-13

دولة النشر

مصر

عدد الصفحات

10

التخصصات الرئيسية

الرياضيات

الملخص EN

We investigate a new class of cocoercive operators named generalized H(·,·,·)-η-cocoercive operators in Hilbert spaces.

We prove that generalized H(·,·,·)-η-cocoercive operator is single-valued and Lipschitz continuous and extends the concept of resolvent operators associated with H(·,·)-cocoercive operators to the generalized H(·,·,·)-η-cocoercive operators.

Some examples are given to justify the definition of generalized H(·,·,·)-η-cocoercive operators.

Further, we consider a generalized set-valued variational-like inclusion problem involving generalized H(·,·,·)-η-cocoercive operator.

In terms of the new resolvent operator technique, we give the approximate solution and suggest an iterative algorithm for the generalized set-valued variational-like inclusions.

Furthermore, we discuss the convergence criteria of iterative algorithm under some suitable conditions.

Our results can be viewed as a generalization of some known results in the literature.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Husain, Shamshad& Gupta, Sanjeev& Mishra, Vishnu Narayan. 2013. Generalized H(·,·,·)-η-Cocoercive Operators and Generalized Set-Valued Variational-Like Inclusions. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-494777

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Husain, Shamshad…[et al.]. Generalized H(·,·,·)-η-Cocoercive Operators and Generalized Set-Valued Variational-Like Inclusions. Journal of Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-494777

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Husain, Shamshad& Gupta, Sanjeev& Mishra, Vishnu Narayan. Generalized H(·,·,·)-η-Cocoercive Operators and Generalized Set-Valued Variational-Like Inclusions. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-494777

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-494777