Wijsman I_2-invariant convergence of double sequences of sets

Abstract

In this paper, we study the concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman I2-invariant convergence (I^σ_W_2), Wijsman I∗_2-invariant convergence (I^∗σ_W_2), Wijsman pstrongly invariant convergence ([W_2Vσ]_p) of double sequence of sets and investigate the relationships among Wijsman invariant convergence, [W2Vσ]p, I^σ_W_2 and I∗σ_W_2. Also, we introduce the concepts of I^σW_2-Cauchy double sequence and I^∗σ_W_2-Cauchy double sequence of sets.