Course

M467 - Nonlinear Analysis

Course No: 
M467
Credit: 
4
Prerequisites: 
M306
Approval: 
2014
UG-Elective
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: 
  1. S. Kesavan, “Nonlinear Functional Analysis”, Texts and Readings in Mathematics 28, Hindustan Book Agency, 2004.

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School of Mathematical Sciences

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