Document Details

Document Type : Thesis 
Document Title :
ُEKELAND S VARIATIONAL PRICIPLE AND FIXED POINT THEORY IN QUASI METRIC SPACE
مبادئ تباين ايكلاند ونظرية النقطة الثابته في نظاك كاسي المتري
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : Some fundamental notions and results related to the concept of quasi-metric space is recalled. A discussion on the forms of EVP is included. A brief description of applications of EVP to fixed point theory is presented in the setting of metric spaces. The existence of minimal and maximal elements is established in quasi-metric spaces under Khamsis as well as Zhang-Jiangs conditions. As applications of our minimization theorems, some fixed point results of Caristis type are derived. A positive answer to Kirk-Shahzad question is given in the general setting. A common fixed point theorem and a common coincidence point theorem for family of mappings are also obtained. The existence of a minimal element using the concepts of generalized distances such as w-distance and mw-distance is shown. As applications, some Caristis type fixed point results involving generalized distances are given. Several variants of EVP under Khamsis condition, Zhang-Jiangs conditions and conditions involving w- and mw-distances are obtained. The equivalence of EVP with the completeness of the quasi-metric space is investigated. A generalized Clarkes fixed point theorem is also proved. 
Supervisor : Dr. Naseer Shahzad Muhammad Ayub 
Thesis Type : Doctorate Thesis 
Publishing Year : 1439 AH
2017 AD 
Co-Supervisor : Dr. Maryam Ali Abdulrahman Alghamdi 
Added Date : Thursday, November 30, 2017 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
هديل زكي الزمعيAlzumi, Hadeel ZakiResearcherDoctorate 

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