Course Name Code Semester T+U Hours Credit ECTS
Fixed Point Theory In Metric Places II MAT 528 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator Doç.Dr. AYNUR ŞAHİN
Course Lecturers
Course Assistants
Course Category Field Proper Education
Course Objective

The undertanding of fixed point theory in Banach spaces, the learning of fixed point theory in Banach lattices and metric fixed point theory, the knowing of Banach space ultrapowers and their properties

Course Content

Banach space, Hahn-Banach theorem, uniform convexity and reflexivity, the basic fixed point theorems in Banach spaces, metric fixed point theory, stability results in arbitrary spaces, the Goebel-Karlovitz lemma, orthogonal convexity, asymptotically regular mappings, Banach lattices, fixed point theory in Banach lattices, Banach space ultrapowers and their properties, some fixed point theorems in Banach spaces ultrapowers

# Course Learning Outcomes Teaching Methods Assessment Methods
Week Course Topics Preliminary Preparation
Course Notes
Course Resources

1) K. Goebel, W.A. Kirk, Topics in Metric Fixed Point Theory, Cambridge University Press, 1990.

2) M.R. Bridson, A. Haefliger, Metric Spaces of Non-Positive Curvature, Springer, 1991.

3) M.A. Khamsi, W.A. Kirk, An Introduction to Metric Spaces and Fixed Point Theory, Pure and   Applied Mathematics, A Wiley-Intersicence Series of Texts, Monographs and Tracks, 2001.

Order Program Outcomes Level of Contribution
1 2 3 4 5
0 Develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his/her area of expertise
2 Student follows the current journals in his/her field and puts forward problems.
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field.
5 Student uses different proof methods to come to a solution by analyzing the problems encountered.
6 Student determines the problems to be solved within his/her field and if necessary takes the lead.
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field.
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research.
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level.
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles.
Evaluation System
Semester Studies Contribution Rate
2. Ödev 15
1. Ödev 15
1. Ara Sınav 70
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 14 1 14
Mid-terms 1 24 24
Assignment 2 8 16
Final examination 1 48 48
Total Workload 150
Total Workload / 25 (Hours) 6
dersAKTSKredisi 6