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
| ريهام زهير العطاس | Alattas, Riham Zuhair | Investigator | Master | |
|
Back To Researches Page
|