@article{645858b815ae483d88f6e677f42dd2d2,
title = "New fixed point results for E-metric spaces",
abstract = "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.",
keywords = "Fixed points, Non-solid cones, Semi-interior points, e-Convergence",
author = "Nayyar Mehmood and {Al Rawashdeh}, Ahmed and Stojan Radenovi{\'c}",
note = "Funding Information: Authors are thankful to the reviewers, and Professor I. Polyrakis, (School of Applied Mathematics and Physical Sciences, Department of Mathematics, National Technical University of Athens, Greece), for their comments and suggestions to improve the quality of this paper. The second author gratefully acknowledges with thanks the Department of Research Affairs at UAEU. This article is supported by the grant: UPAR(11) 2016, Fund No. 31S249(COS). The paper has been prepared during the first named author visit as a post doc researcher to the Department of Mathematical Sciences in UAEU, and would like to thank the Department of Mathematical Sciences, UAEU for their support. Also the Department of Mathematics and Statistics International Islamic University, H-10, Islamabad, Pakistan for their cooperation. Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",
year = "2019",
month = nov,
day = "1",
doi = "10.1007/s11117-019-00653-9",
language = "English",
volume = "23",
pages = "1101--1111",
journal = "Positivity",
issn = "1385-1292",
publisher = "Birkhauser Verlag Basel",
number = "5",
}