## The aim of this paper is to introduce some pairwise weakly fuzzy mappings, called pairwise weakly fuzzy δ-semi-pre-continuous mappings and pairwise weakly fuzzy δ-semi pre-open mappings in fuzzy bitopological spaces.

Some pairwise weakly Fuzzy mappings

## This work employs the conceptions of neutrosophic crisp a-open and semi-a-open sets to distinguish some novel forms of weakly neutrosophic crisp open mappings; for instance, neutrosophic crisp a-open mappings, neutrosophic crisp a*-open mappings, neutrosophic crisp a**-open mappings, neutrosophic crisp semi-a-open mappings, neutrosophic crisp semi-a*-open mappings, and neutrosophic crisp semi-a**-open mappings.

On New Types of Weakly Neutrosophic Crisp Open Mappings

## The concepts of different mappings such as pairwise fuzzy I -continuous mappings, pairwise fuzzy D -continuous mappings, pairwise fuzzy B -continuous mappings, pairwise fuzzy I -open mappings, pairwise fuzzy D -open mappings, pairwise fuzzy B -open mappings, pairwise fuzzy I -closed mappings, pairwise fuzzy D -closed mappings and pairwise fuzzy B -closed mappings have been introduced.

Continuity in fuzzy bitopological ordered spaces

## Moreover, the version of open mapping theorem in the class of topological rough group is obtained.

Some topological properties of topological rough groups

## Hence, many important results in functional analysis, like the Banach-Steinhaus theorem, the open mapping theorem and the closed graph theorem, hold for the $${\cal H}{\cal K}$$ (X) space.

Compact operators and integral equations in the $\mathcal{HK}$ space

10.1007/s00500-021-05631-6

## Moreover, the version of open mapping theorem in the class of topological rough group is obtained.

Some topological properties of topological rough groups

10.21136/cmj.2021.0447-20

## Hence, many important results in functional analysis, like the Banach-Steinhaus theorem, the open mapping theorem and the closed graph theorem, hold for the $${\cal H}{\cal K}$$ (X) space.

Compact operators and integral equations in the $\mathcal{HK}$ space

10.3390/ENTROPY2021-09847

## We describe the points of discontinuity in terms of open mapping theorems and eigenvalue crossings.

Analysis of generalized Gibbs states

10.29235/1561-2430-2021-57-2-176-184

## The open mapping theorem and the principle of maximum of the norm for a p-holomorphic function and the uniqueness theorem are proved.

On some properties of p-holomorphic and p-analytic function

10.46300/91019.2021.8.1

## We introduce δ-irresolute, δ-closed, pre-δ-open and pre -δ-closed mappings and investigate properties and characterizations of these new types of mappings and also explore further properties of the well-known notions of δ-continuous and δ-open mappings.

Delta – Open Sets And Delta – Continuous Functions

10.1007/s13398-021-01108-1

## Many authors consider that the main pillars of Functional Analysis are the Hahn–Banach Theorem, the Uniform Boundedness Principle and the Open Mapping Principle.

On the pillars of Functional Analysis

10.1080/13658816.2020.1814303

## However, the quality and the amount of rural building annotated data in open mapping services like OpenStreetMap (OSM) is not sufficient for training accurate models for such detection.

Deploying machine learning to assist digital humanitarians: making image annotation in OpenStreetMap more efficient

10.5194/ISPRS-ARCHIVES-XLII-2-W13-1511-2019

## The focus of this paper is on exploring the fit for purpose of semantic segmentation techniques to feed and update existing road network datasets and traffic sign censuses, exploiting free and open mapping initiative like Mapillary (possibly including commercial derivative products) and OpenStreetMap (OSM).

Updating a road network dataset exploiting the results of semantic segmentation techniques applied to street-level imagery

10.33401/FUJMA.503688

## We established order-preserving versions of the basic principles of functional analysis such as Hahn-Banach, Banach-Steinhaus, open mapping and Banach-Alaoglu theorems.

Order-Preserving Variants of The Basic Principles of Functional Analysis

## El-Deeb, α-continuous and α-open mappings, Acta Math.

ON βδs-IRRESOLUTE FUNCTIONS

10.1134/S2070046619020043

## In order to obtain results like the Open Mapping Theorem, the Closed Graph Theorem and the Uniform Boundedness Theorem, H.

Generalized Open Mapping Theorem for X-Normed Spaces

10.1016/J.TOPOL.2019.02.063

## The following results are obtained: (1) Every sp-network is preserved by a continuous pseudo-open mapping.

Strict Pytkeev networks with sensors and their applications in topological groups

10.1016/J.TOPOL.2019.03.005

## In fact, this theorem follows from a more general result about spaces with an ω-directed lattice of d-open mappings.

Remainders of products, topological groups and Cp-spaces

10.1016/j.jde.2020.06.066

## To get the main result, which is based on set separation arguments, we prove an open mapping result valid for Quasi-Differential-Quotient (QDQ) approximating cones, a notion of 'tangent cone' resulted as a peculiar specification of H.

A geometrically based criterion to avoid infimum-gaps in Optimal Control

## In this article the concepts of somewhat pairwise fuzzy irresolute and somewhat pairwise fuzzy irresolute semiopen mappings are introduced.

Somewhat pairwise fuzzy irresolute mappings