Approximation fixed points for a system of nonlinear mapping equations

مقدم أطروحة جامعية

Husayn, Iman Abd al-Wahhab

مشرف أطروحة جامعية

Ahmad, Buthaynah Abd al-Hasan

أعضاء اللجنة

Husayn, Mushtaq Sh.
Jamil, Zaynah Z.
Abud, Iman H.
Naji, Raid Kamil

الجامعة

جامعة بغداد

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2012

الملخص الإنجليزي

Let X be a real Banach space with dual space X∗ , let a mapping J : X → 2 X∗ be the multivalued normalized duality mapping, a mapping T : X → X is said to be α–strongly pseudocontractive mapping if there exists a strictly increasing function α : R + → R + with α(0) = 0 such that for each x, y ∈ X there exists j(x − y) ∈ J(x − y) satisfying: ⟨T x − T y, j(x − y)⟩ ≤ ∥x − y∥ 2 − α(∥x − y∥) ∥x − y∥ .

and a mapping T : X → X is said to be α–strongly hemicontractive mapping if the set of all fixed point,F(T), is nonempty and if there exists a strictly increasing function α : R + → R + with α(0) = 0 such that for each x ∈ X and q ∈ F(T) there exists j(x − q) ∈ J(x − q) satisfying: ⟨T x − q, j(x − q)⟩ ≤ ∥x − q∥ 2 − α(∥x − q∥) ∥x − q∥ , In this thesis we modify and generalize strong convergence theorem for the multi-step iteration sequence to a common fixed point for finite self family of mappings from α–strongly pseudocontractive to α– strongly hemicontractive.

Also we suggest and study a new multi-step iterative algorithms for finding a common fixed point for finite family of self α–strongly hemicontractive mappings.

In the end we study non-self mapping and give a new one-step iteration to compute the fixed point of non-self α–strongly pseudocontractive mapping.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

79

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-602778