Kannan, V; Gopal, Sharan(Universitat Politècnica de València, 2016-10-03)
[EN] The sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A ...
Komal, Somayya; Kumam, Poom(Universitat Politècnica de València, 2016-10-03)
[EN] The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered ...
Boxer, Laurence; Staecker, P. Christopher(Universitat Politècnica de València, 2016-10-03)
[EN] The current paper focuses on fundamental groups and Euler characteristics of various digital models of the 2-dimensional sphere. For all models that we consider, we show that the fundamental groups are trivial, and ...
[EN] A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces ...
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 ...