A new φ-generalized quasi metric space with some fixed point results and applications
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Date
Authors
Abbas, Mujahid
Leyew, Bahru Tsegaye
Khan, Safeer Hussain
Journal Title
Journal ISSN
Volume Title
Publisher
University of Nis, Serbia, Faculty of Sciences and Mathematics
Abstract
In this paper, the concept of a new-generalized quasi metric space is introduced. A number of
well-known quasi metric spaces are retrieved from -generalized quasi metric space. Some general fixed
point theorems in a-generalized quasi metric spaces are proved, which generalize, modify and unify
some existing fixed point theorems in the literature. We also give applications of our results to obtain fixed
points for contraction mappings in the domain of words and to prove the existence of periodic solutions of
delay differential equations.
Description
Keywords
Domain of words, φ-generalized quasi metric space, Fixed point, Delay differential equations, (α-ψ)-contractions
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Citation
Abbas, M., Leyew, B.T. & Hussain Khan, S.H. 2017, 'A new φ-generalized quasi metric space with some fixed point results and applications', Filomat, vol. 31, no. 11, pp. 3157-3172.