In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spa...

In this paper, we give some mapping theorems on g-metrizable spaces in terms of some sequence-covering mappings, σ-mappings and π-mappings.

If X is a metric space then CX and LX denote the semigroups of continuous and Lipschitz mappings, respectively, from X to itself. The relative rank of CX modulo LX is the least cardinality of any set U \LX where U generates CX . For a large class of separable metric spaces X we prove that the relative rank of CX modulo LX is uncountable. When X is the Baire space NN, this rank is א1. A large pa...

The optimal dimensions N are determined so that each smooth manifold of dimension n admits a totally real immersion or an independent map to C . Detailed results comparing these two optimal dimensions, as well as some related results, are presented for four-manifolds.

In this paper we introduce intuitionistic fuzzy almost generalized semi-pre closed mappings and intuitionistic fuzzy almost generalized semi-pre open mappings. We investigate some of their properties. Also we provide the relation between intuitionistic fuzzy almost generalized semi-pre closed mappings and other intuitionistic fuzzy closed mappings.

It is shown that, in the framework of Gelfand integrable mappings, the Fatou-type lemma for integrably bounded mappings, due to Cornet–Medecin [14] and the Fatou-type lemma for uniformly integrable mappings due to Balder [9], can be generalized to mean norm bounded integrable mappings.

Based on the technique of enriching contractive type mappings, a that has been used successfully in some recent papers, we introduce concept saturated class mappings. We show that, from this perspective, mappings metric fixed point theory can be separated into two distinct classes, unsaturated and saturated, for any provides genuine new fixed-point results. illustrate by surveying significant r...

When three or more ontologies have been aligned, longer chains of mapped concepts start to appear. In this paper, we empirically study the nature of these composite mappings, focusing on chains of (near) equivalence links of length two. We ask human experts to evaluate samples of composite mappings, taken from large real life data sets. Based on these evaluations, we analyze the features of map...

Linear mappings are crucial components of symmetric ciphers. A special type of linear mappings are (0,1)-matrices which have been used in symmetric ciphers such as ARIA, E2 and Camellia as diffusion layers with efficient implementation. Bitwise linear maps are also used in symmetric ciphers such as SHA family of hash functions and HC family of stream ciphers. In this article, we investigate a s...