Sequence spaces of fuzzy numbers defined by a Musielak-Orlicz function

Abstract

The purpose of this paper is to introduce some sequence spaces of fuzzy numbers defined by a Musielak-Orlicz function. We also make an effort to study some topological properties and prove some inclusion relations between these spaces.

Some classes of ideal convergent sequences and generalized difference matrix operator

“…x k−m ) and introduced difference sequences spaces for the sets of bounded, statistically convergent and statistically null sequences, respectively. Başar and Altay [2] introduced the generalized difference matrix B(r, s) = (b nk (r, s)) which is a generalization of ∆ 1 (1) -difference operator as follows:…”

“…For some recent work related to Orlicz sequence spaces, we refer to Alotaibi et al [1], Mohiuddine et al [18,19], Savaş [23] and references therein.…”

Some results on best proximity points of cyclic alpha-psi contractions in Menger probabilistic metric spaces

“…It has also to be pointed out that the parallel background literature related to results on best proximity points and fixed points in cyclic mappings in metric and Banach spaces as well as topics related to common fixed points is exhaustive including studies of fixed point theory and applications in the fuzzy framework. See, for instance, [5,6,13,[17][18][19][20][21][22][23][24][25][26][27][31][32][33][34][35][36][37] as well as references therein.…”

Tauberian theorems for Lambert and zeta summability methods in fuzzy number space

“…Authors have examined convergence characters of sequences of fuzzy numbers from various aspects and come up with different types of convergence. Besides, they have used summability methods to recover the sequences of fuzzy numbers which fails to converge in the space of fuzzy numbers and given various Tauberian conditions under which summability of a sequence of fuzzy numbers by a certain method implies its convergence(see [18][19][20][21][22][23][24][25][26][27]). In this paper, we extend Lambert summability method and zeta summability method, also known as Dirichlet density, to fuzzy analysis and mainly prove two Tauberian theorems for these methods.…”