The use of the E-metric spaces in the search for fixed points
Keywords:
E-metric space, Fixed point, Nonlinear contraction, Nonlinear Cauchy-Kowalewski theoremAbstract
We prove some general theorems on the convergence of successive approximations xn=Axn-1 to a fixed point of a nonlinear contraction mapping A defined on an E-metric space. We derive, as applications, some fixed point theorems in uniform spaces and an abstract Cauchy-Kowalewski type theorem.
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