MA61047: Nonlinear Functional Analysis

MA61047
Course name	Nonlinear Functional Analysis
Offered by	Mathematics
Credits	4
L-T-P	3-1-0
Previous Year Grade Distribution
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Semester	Autumn

Syllabus

Syllabus mentioned in ERP

Prerequisite: Functional AnalysisFixed point theory, Banach contraction mapping theorem, contractive type mappings, generalizations of Banach contraction mapping theorem, fixed point theorem of other types. Nonlinear operators, monotone, srictly monotone and strongly monotone operators, their properties and applications. Variational inequalities and complementarity problem. Approximation theory, theory of best approximation and farthest points, calculus of Banach space, Frechet and Gateaux differntialability, strict convexity and uniform convexity of norms, semi inner product spaces.