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Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings : Applications to Impulsive Differential and Difference Equations
المؤلفون المشاركون
Karapinar, Erdal
de La Sen, Manuel
المصدر
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-16، 16ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-10-29
دولة النشر
مصر
عدد الصفحات
16
التخصصات الرئيسية
الملخص EN
This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces.
The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces.
The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image.
The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous.
Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts.
Some application examples to impulsive differential equations are also given.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
de La Sen, Manuel& Karapinar, Erdal. 2013. Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings : Applications to Impulsive Differential and Difference Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-476974
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
de La Sen, Manuel& Karapinar, Erdal. Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings : Applications to Impulsive Differential and Difference Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-476974
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
de La Sen, Manuel& Karapinar, Erdal. Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings : Applications to Impulsive Differential and Difference Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-476974
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-476974
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