Titlebook: Elementary Fixed Point Theorems; P.V. Subrahmanyam Textbook 2018 Springer Nature Singapore Pte Ltd. 2018 Partial order.Fixed Points.quasi-

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,Schauder’s Fixed Point Theorem and Allied Theorems, extension arose because existence of solutions to nonlinear equations, especially nonlinear integral and differential equations can be formulated as fixed point problems in function-spaces. This chapter discusses Schauder’s and allied fixed point theorems with their applications including the exist

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Basic Analytic Degree Theory of a Mapping,damard, Hermite, Jacobi, Kronecker, Ostrowski, Picard, Sturm and Sylvester had contributed to this topic. The Argument principle propounded by Cauchy on the zeros of a function inside a domain and Sturm’s theorem on the number of zeros of a real polynomial in a closed bounded interval have evolved i

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