On Best Proximity Results for a Generalized Modified Ishikawa’s Iterative Scheme Driven by Perturbed 2-Cyclic Like-Contractive Self-Maps in Uniformly Convex Banach Spaces

المؤلفون المشاركون

Abbas, Mujahid
de La Sen, Manuel

المصدر

Journal of Mathematics

العدد

المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-15، 15ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2019-01-30

دولة النشر

مصر

عدد الصفحات

15

التخصصات الرئيسية

الرياضيات

الملخص EN

This paper proposes a generalized modified iterative scheme where the composed self-mapping driving can have distinct step-dependent composition order in both the auxiliary iterative equation and the main one integrated in Ishikawa’s scheme.

The self-mapping which drives the iterative scheme is a perturbed 2-cyclic one on the union of two sequences of nonempty closed subsets Ann=0∞ and Bnn=0∞ of a uniformly convex Banach space.

As a consequence of the perturbation, such a driving self-mapping can lose its cyclic contractive nature along the transients of the iterative process.

These sequences can be, in general, distinct of the initial subsets due to either computational or unmodeled perturbations associated with the self-mapping calculations through the iterative process.

It is assumed that the set-theoretic limits below of the sequences of sets Ann=0∞ and Bnn=0∞ exist.

The existence of fixed best proximity points in the set-theoretic limits of the sequences to which the iterated sequences converge is investigated in the case that the cyclic disposal exists under the asymptotic removal of the perturbations or under its convergence of the driving self-mapping to a limit contractive cyclic structure.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

de La Sen, Manuel& Abbas, Mujahid. 2019. On Best Proximity Results for a Generalized Modified Ishikawa’s Iterative Scheme Driven by Perturbed 2-Cyclic Like-Contractive Self-Maps in Uniformly Convex Banach Spaces. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1181353

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

de La Sen, Manuel& Abbas, Mujahid. On Best Proximity Results for a Generalized Modified Ishikawa’s Iterative Scheme Driven by Perturbed 2-Cyclic Like-Contractive Self-Maps in Uniformly Convex Banach Spaces. Journal of Mathematics No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1181353

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

de La Sen, Manuel& Abbas, Mujahid. On Best Proximity Results for a Generalized Modified Ishikawa’s Iterative Scheme Driven by Perturbed 2-Cyclic Like-Contractive Self-Maps in Uniformly Convex Banach Spaces. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1181353

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1181353