Course No
M467
Credit
4
Approval
Syllabus
Calculus in Banach spaces, inverse and multiplicit function theorems, fixed point theorems of Brouwer, Schauder and Tychonoff, fixed point theorems for nonexpansive and set-valued maps, predegree results, compact vector fields, homotopy, homotopy extension, invariance theorems and applications.
Reference Books
- S. Kesavan, “Nonlinear Functional Analysis”, Texts and Readings in Mathematics 28, Hindustan Book Agency, 2004.