Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces
المؤلفون المشاركون
Latif, Abdul
al-Mazrooei, Abdullah E.
Ceng, Lu-Chuan
المصدر
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-18، 18ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-12-05
دولة النشر
مصر
عدد الصفحات
18
التخصصات الرئيسية
الملخص EN
We introduce Mann-type viscosity approximation methods for finding solutions of a multivalued variational inclusion (MVVI) which are also common ones of finitely many variational inequality problems and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Here the Mann-type viscosity approximation methods are based on the Mann iteration method and viscosity approximation method.
We consider and analyze Mann-type viscosity iterative algorithms not only in the setting of uniformly convex and 2-uniformly smooth Banach space but also in a uniformly convex Banach space having a uniformly Gáteaux differentiable norm.
Under suitable assumptions, we derive some strong convergence theorems.
In addition, we also give some applications of these theorems; for instance, we prove strong convergence theorems for finding a common fixed point of a finite family of strictly pseudocontractive mappings and a countable family of nonexpansive mappings in uniformly convex and 2-uniformly smooth Banach spaces.
The results presented in this paper improve, extend, supplement, and develop the corresponding results announced in the earlier and very recent literature.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Ceng, Lu-Chuan& Latif, Abdul& al-Mazrooei, Abdullah E.. 2013. Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-463949
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Ceng, Lu-Chuan…[et al.]. Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-463949
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Ceng, Lu-Chuan& Latif, Abdul& al-Mazrooei, Abdullah E.. Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-463949
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-463949
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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