Relatively Cyclic and Noncyclic P-Contractions in Locally K-Convex Space
Lazaiz Samih 1
Laboratory of Algebra, Analysis and Applications, Department of Mathematics, Ben M’sik Faculty of Sciences, University Hassan II, Casablanca 20000, Morocco
2
Laboratory of Mathematical Analysis and Applications, Department of Mathematics, Dhar El Mahraz Faculty of Sciences, University Sidi Mohamed Ben Abdellah, Fes 30050, Morocco
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(3), 96; https://doi.org/10.3390/axioms8030096
Received: 24 May 2019 / Revised: 11 July 2019 / Accepted: 20 July 2019 / Published: 6 August 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
Our main goal of this research is to present the theory of points for relatively cyclic and relatively relatively noncyclic p-contractions in complete locally -convex spaces by providing basic conditions to ensure the existence and uniqueness of fixed points and best proximity points of the relatively cyclic and relatively noncyclic p-contractions map in locally -convex spaces. The result of this paper is the extension and generalization of the main results of Kirk and A. Abkar.
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Keywords:
fixed point; locally K-convex spaces; relatively cyclic and relatively noncyclic p-contractions; best proximity point
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Mohamed, E.; Mohamed, A.; Samih, L. Relatively Cyclic and Noncyclic P-Contractions in Locally K-Convex Space. Axioms 2019, 8, 96.
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