Bartwal, Ayush; Rawat, Shivam; Beg, Ismat(Universitat Politècnica de València, 2023-04-05)
[EN] We introduce the concept of q-ordered proximal nonunique contraction for the non self mappings and then obtain some proximity point results for these mappings. We also furnish examples to support our claims.
Komal, Somayya; Kumam, Poom; Gopal, Dhananjay(Universitat Politècnica de València, 2016-10-03)
[EN] In this article, we introduced the best proximity point theorems for $\mathcal{Z}$-contraction and Suzuki type $\mathcal{Z}$-contraction in the setting of complete metric spaces. Also by the help of weak $P$-property ...
Felicit, J. Maria; Eldred, A. Anthony(Universitat Politècnica de València, 2015-10-01)
[EN] We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.
Sultana, Asrifa; Vetrivel, V.(Universitat Politècnica de València, 2017-04-03)
[EN] We establish an existence and uniqueness theorem on best proximity point for contractive mappings on a metric space endowed with a graph. As an application of this theorem, we obtain a result on the existence of unique ...
Sultana, Asrifa; Vetrivel, V.(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent ...