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Week
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Topics
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Study Metarials
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1
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Metric spaces and metric topology, the Cauchy-Schwarz and Minkowski inequality
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R1 - Section 1
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2
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Some basic definitions of complete metric spaces, theorems and examples
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R1 - Section 1
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3
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Introduction to fixed point theory
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R1 - Section 2
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4
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Contraction mapping principle and examples
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R1 - Section 2
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5
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Banach fixed point theorem and properties of its
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R1 - Section 2
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6
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Edelstein Fixed point theorems and properties of its
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R1 - Section 2
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7
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Some applications of Banach fixed point theorem
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R1 - Section 3
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8
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Picard`s theorem and examples of its
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R1 - Section 4
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9
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Linear Fredholm integral equation
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R1 - Section 5
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10
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Linear Volterra integral equation
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R1 - Section 5
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11
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Examples of integral equations
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R1 - Section 5
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12
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Cantor and some special is fixed point theorems
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R1 - Section 6
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13
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Non-linear contractions
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R1 - Section 7
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14
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Fixed-point theorem made with non-linear contraction
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R1 - Section 7
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