Main Page
Deanship
The Dean
Dean's Word
Curriculum Vitae
Contact the Dean
Vision and Mission
Organizational Structure
Vice- Deanship
Vice- Dean
KAU Graduate Studies
Research Services & Courses
Research Services Unit
Important Research for Society
Deanship's Services
FAQs
Research
Staff Directory
Files
Favorite Websites
Deanship Access Map
Graduate Studies Awards
Deanship's Staff
Staff Directory
Files
Researches
Contact us
عربي
English
About
Admission
Academic
Research and Innovations
University Life
E-Services
Search
Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
Best Proximity and Fixed Point Results for Generalized Contractions with Applications
نتائج التقارب الأفضل والنقطة الثابتة للرواسم الانكماشية المعممة مع التطبيقات
Subject
:
Faculty of Science
Document Language
:
Arabic
Abstract
:
This thesis is a comprehensive study of fixed point results for multi-valued mappings in metric spaces and best proximity and fixed point results for single-valued mappings in modular metric and fuzzy metric spaces. Solving matrix equations has always been an attractive problem for many authors by finding adequate methods and sufficient conditions. Many fixed point theorems have been presented by several authors to find solutions for different classes of matrix equations. It is well-known that Nadler used a concept of the Hausdorff metric and established multi-valued version of the classical Banach Contraction Principle. Altun et al. defined multi-valued F-contractions and proved some fixed point results. In this thesis, we introduce a modified class of multi-valued F-contraction mappings, and prove certain fixed point results for such mappings in order to find a solution for nonlinear matrix equations. On the other hand, the notion of modular metric spaces was recently introduced by Chistyakov. Several best proximity and fixed point results in modular metric and fuzzy metric spaces have been proved. Recently, Jleli and Samet introduced a new class of contractions, which is called (JS)-contraction, and established some fixed point results. In the setting of modular metric and fuzzy metric spaces, we introduce the class of (JS)-w-contractions and establish certain best proximity and fixed point results.Consequently, we improve and generalize a number of metric fixed point results for multi-valued F-contractions, and establish new best proximity and fixed point results in modular metric and fuzzy metric spaces generalizing the corresponding results due to mentioned authors.
Supervisor
:
Prof. Nawab Hussain Abdullah
Thesis Type
:
Doctorate Thesis
Publishing Year
:
1441 AH
2020 AD
Added Date
:
Wednesday, May 20, 2020
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
غاده علي باسندوه
Basendwah, Ghada Ali
Researcher
Doctorate
Files
File Name
Type
Description
46121.pdf
pdf
Back To Researches Page