A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E+ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E+ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.
CITATION STYLE
Mehmood, N., Al Rawashdeh, A., & Radenović, S. (2019). New fixed point results for E-metric spaces. Positivity, 23(5), 1101–1111. https://doi.org/10.1007/s11117-019-00653-9
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