Corrigendum to “Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space”
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.
Cyclically compact operators in Banach spaces.
Erratum to: “Towards a theory of some unbounded linear operators on -adic Hilbert spaces and applications”
Expansion of an atomic operator.
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.
Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces
This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on . For that, our first task consists of introducing a new class of linear operators denoted and next we make extensive use of such a new class along with the concept of convergence in the sense of resolvents to construct a functional calculus for a large class of unbounded linear operators.
Invariant approximation for fuzzy nonexpansive mappings
We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all -best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric...
Logarithmic and antilogarithmic mappings [Book]
Nearstandardness on a finite set [Book]
Non-Archimedean valued quasi-invariant descending at infinity measures.
On a general type of -adic parabolic equations.
On Caristi's fixed point theorem in F-type topological spaces.
On combined nonstandard methods in functional analysis.
On near-standardness in Hilbert spaces.
On non-archimedean locally convex spaces
On quasi-compactness of operator nets on Banach spaces
The paper introduces a notion of quasi-compact operator net on a Banach space. It is proved that quasi-compactness of a uniform Lotz-Räbiger net is equivalent to quasi-compactness of some operator . We prove that strong convergence of a quasi-compact uniform Lotz-Räbiger net implies uniform convergence to a finite-rank projection. Precompactness of operator nets is also investigated.