Exponential Type Contraction Mapping Theorems for the Banach, Kannan, Chatterjea, Reich, and Hardy-Rogers Operators in Metric Spaces with Application
Abstract
In this paper, we introduce the notion of an exponential type contraction operator, and prove the Banach, Kannan, Reich, Chatterjea, and Hardy-Rogers fixed point theorem for such operators in the setting of metric spaces. Finally, we apply the exponential Banach contraction mapping theorem to the Fredholm integral equation.
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References
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