Linear-Interpolative Contraction Mapping Theorem for the Berinde Weak, Kannan, Ciric-Reich-Rus, and Chatterjea Operators in Metric Spaces with Application
Abstract
Motivated by the definition of interpolative metric space [6], in which the triangle inequality has been modified into an inequality consisting of linear and interpolative terms, we introduce in this paper the notion of linear-interpolative contractions which is analogous to the triangle inequality in the definition of interpolative metric space. These inequalities consist of linear and interpolative terms. Some results related to the linear-interpolative contractions are obtained in the setting of metric spaces with an illustrative example. Finally, we apply our result to the Fredholm integral equation.
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References
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