Abstract

The aim of this paper is to introduce and characterize a new class of functions called almost G-precontinuous functions in ideal topological spaces by using G-preopen sets.

Highlights

  • The idea of grills on a topological space was first introduced by Choquet [8]

  • Rajesh sets in a grill topological space and obtained a new decomposition of continuity in terms of grills

  • The aim of this paper is to introduce and characterize a new class of functions called almost G-precontinuous functions in ideal topological spaces by using G-preopen sets

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Summary

Introduction

The idea of grills on a topological space was first introduced by Choquet [8]. In [17], Roy and Mukherjee defined and studied a typical topology associated rather naturally to the existing topology and a grill on a given topological space. Hatir and Jafari [10] have defined new classes of Received: July 28, 2015 §Correspondence author c 2015 Academic Publications, Ltd. url: www.acadpubl.eu. Rajesh sets in a grill topological space and obtained a new decomposition of continuity in terms of grills. The aim of this paper is to introduce and characterize a new class of functions called almost G-precontinuous functions in ideal topological spaces by using G-preopen sets

Preliminaries
Almost G-Precontinuous Functions
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