Jae Ug Jeong

Fixed point theorems for fuzzy mappings

Abstract In this paper, we prove fixed point theorems for fuzzy mappings satisfying contractive-type conditions and a rational inequality in complete metric spaces.

On the existence and uniqueness of solutions of fuzzy Volterra-Fredholm integral equations

Abstract In this paper we study the problem of existence and uniqueness of solutions of Volterra–Fredholm integral equation for the fuzzy set-valued mappings.

The approximate solutions of fuzzy functional integral equations

We study the approximate solutions of the fuzzy functional integral equations and compare them to functional integral equations of retarded type.

A note on fuzzy integral equations

In this paper existence theorems for certain Volterra integral equations and Fredholm integral equation for the fuzzy set valued mappings are obtained.

A perturbed algorithm of variational inclusions for fuzzy mappings

In this paper, we introduce a class of variational inclusions for fuzzy mappings and show its equivalence with a class of fixed point problems. Using this equivalence, we develop the perturbed iterative algorithms for this class of variational inclusions. Further, we prove the existence of solutions for the class of variational inclusions and discuss the convergence criteria for the perturbed algorithms.

Generalized strongly quasivariational inequalities for fuzzy mappings

Abstract In this paper, we prove an existence theorem of solutions and develop the algorithms of approximating solutions for a generalized strongly variational inequality for fuzzy mappings and a generalized strongly complementaryty problemsfor fuzzy mappings by using the projection method.

Iterative algorithm for finding approximate solutions to completely generalized strongly quasivariational inequalities for fuzzy mappings

In this paper, we construct a new iterative algorithm, which includes many known algorithms as special cases to solve variational inequalities and quasivariational inequalities for fuzzy mappings. Further, we prove the convergence of the iterative sequences generated by this algorithm. Our results are the extension and improvements of the earlier and recent results in this field.

Completely generalized strongly quasivariational inequalities for fuzzy mappings

Abstract In this paper, we prove an existence theorem of solutions and develop the algorithms of approximating solutions for a completely generalized strongly variational inequality problem for fuzzy mappings and a completely generalized strongly complementarity problem for fuzzy mappings by using the projection method.