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 TypeDr GradeEmail
غاده علي باسندوهBasendwah, Ghada AliResearcherDoctorate 

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