5 papers
An extension of Mizoguchi-Takahaashi's fixed point theorem
M. Eshaghi Gordji, H. Baghani, M. Ramezani +1
Our main theorem is an extension of the well-known Mizoguchi-Takahaashi's fixed point theorem [N. Mizogochi and W. Takahashi, Fixed point theorems for multi-valued mappings on comp…
Further extension of Nadler's fixed point theorem
M. Eshaghi Gordji, M. Ramezani, H. Khodaei +1
In this paper, we prove a generalization of Geraghty's fixed point theorem for multi--valued mappings.
Cone Normed Spaces
M. Eshaghi Gordji, M. Ramezani, H. Baghani +1
In this paper, we introduce the cone normed spaces and cone bounded linear mappings. Among other things, we prove the Baire category theorem and the Banach--Steinhaus theorem in co…
The stability of a quadratic type functional equation with the fixed point alternative
M. Eshaghi Gordji, H. Khodaei
In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability for the quadratic type functional equation &f(x+y+2cz)+f(x+y-2cz)+c^2f(2x)+c^2f(2y)…
Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
M. Eshaghi Gordji, H. Khodaei
In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability of the following functional equation $$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f…