Relatively Cyclic and Noncyclic <i>P</i>-Contractions in Locally K-Convex Space
Edraoui Mohamed,
Aamri Mohamed,
Lazaiz Samih
Affiliations
Edraoui Mohamed
Laboratory of Algebra, Analysis and Applications, Department of Mathematics, Ben M’sik Faculty of Sciences, University Hassan II, Casablanca 20000, Morocco
Aamri Mohamed
Laboratory of Algebra, Analysis and Applications, Department of Mathematics, Ben M’sik Faculty of Sciences, University Hassan II, Casablanca 20000, Morocco
Lazaiz Samih
Laboratory of Mathematical Analysis and Applications, Department of Mathematics, Dhar El Mahraz Faculty of Sciences, University Sidi Mohamed Ben Abdellah, Fes 30050, Morocco
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 K -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 K -convex spaces. The result of this paper is the extension and generalization of the main results of Kirk and A. Abkar.
