Document Details

Document Type : Thesis 
Document Title :
Convex Metric Spaces and ataheir Applications in Nonlinear ANALYSIS
الفضاءات المترية المحدبة وتطبيقاتهم في التحليل الغير خطي
 
Subject : Metric Spaces 
Document Language : English 
Abstract : Metric convexity is a fundamental concept in the study of geometry of metric spaces. There are several ways in which one can introduce the notion of convexity in metric spaces. In this thesis, we mainly consider W-convex metric spaces, introduced by Takahashi in 1970. Such spaces include Banach spaces, convex subsets of Banach spaces and certain subsets of metric linear spaces. Subsequently, Machado (1973), Talman (1977), and Naimpally, Singh and Whit…eld (1983) and Beg and Azam (1986), among others, developed this theory and obtained …xed point theorems in W-convex metric spaces. Since then there has been great developments in this …eld and it is presently an active area of research. Further progress has recently been done in the related study of M-convex, Hyperconvex and CAT(0) spaces. In this thesis, we have presented an up-dated research done in this area and also its applications in Non-linear Analysis including Fixed Point Theory and Best Approximation. vi 
Supervisor : Liagat Ali Khan 
Thesis Type : Master Thesis 
Publishing Year : 1434 AH
2013 AD 
Number Of Pages : 165 
Co-Supervisor : Saud Mastoor Alsulami 
Added Date : Monday, September 16, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
ريهام زهير العطاسAlattas, Riham ZuhairInvestigatorMaster 

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