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  • Author: M. Eshaghi Gordji x
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M. Eshaghi Gordji and A. Fazeli

Abstract

In this paper, we investigate the stability and superstability of homomorphisms on C*-ternary algebras associated with the functional equation

Open access

M. Eshaghi Gordji, Y.J. Cho, H. Khodaei and M. Ghanifard

Abstract

In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation)

for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

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M. Eshaghi Gordji, S. Mohseni Kolagar, Y.J. Cho and H. Baghani

Abstract

In this paper, we introduce the concept of a generalized weak contraction for set-valued mappings defined on quasi-metric spaces. We show the existence of fixed points for generalized weakly contractive set-valued mappings. Indeed, we have a generalization of Nadler’s fixed point theorem and Banach’s fixed point theorem in quasi-metric spaces and, further, investigate the convergence of iterate scheme of the form xn+1 ∈ Fxn with error estimates.