A coincidence point theorem for multivalued mappings in 2-Menger spaces.
A common fixed-point theorem in 2 non-Archimedean Menger PM-space for R-weakly commuting maps of type (P).
A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces
In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values. Our result is a stochastic generalization of an existence theorem proved by Kravvaritis and Papageorgiou in [6].
A system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic normed spaces.
Common fixed point theorems in 2 non-Archimedean Menger -space.
Compact operators defined on 2-normed and 2-probabilistic normed spaces.
Countable extension of triangular norms and their applications to the fixed point theory in probabilistic metric spaces
Coupled fixed points of mixed monotone operators on probabilistic Banach spaces
The existence of minimal and maximal fixed points for monotone operators defined on probabilistic Banach spaces is proved. We obtained sufficient conditions for the existence of coupled fixed point for mixed monotone condensing multivalued operators.
Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces.
Fixed point theorems in metric spaces and probabilistic metric spaces.
Fixed points of mappings with diminishing probabilistic orbital diameters.
On Caristi's fixed point theorem in F-type topological spaces.
On some constructions of new triangular norms.
We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.
On the probabilistic domain invariance.
Random approximations and random fixed point theorems.
Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces.
Some completeness theorems in the Menger probabilistic metric space.
Some new deterministic and random variational inequalities and their applications.
Strongly -bounded and classes of linear operators in probabilistic normed space.