In this paper, a new type of fuzzy multifunction is introduced between a set having min-imal structure [15, 16] and a fuzzy topological space (fts, for short) in the sense of Chang [6] which generalizes fuzzy contra continuous multifunction. It is also shown that the im-age of an m-compact space [15, 16] under this fuzzy multifunction is fuzzy s-closed [20] under certain conditions.
In this paper, we introduce strongly generalized (weakly) δ-supplemented modules. We call a module strongly generalized (weakly) δ-supplemented (briefly δ-SGS (δ-SWGS)) if every submodule containing the δ-radical has a (weak) δ-supplement. The first part of this paper investigates various properties of δ-SGS modules. We prove that δ-SGS modules are closed under factor modules and finite sums. Using these modules, we show that a ring R is δ-semiperfect if and only if every left R-module is a δ-SGS module. The second part of this paper establishes some properties of δ-SWGS modules.
In this paper, we present and study the concepts of semiopen sets and their related no-tions in ideal minimal spaces.
We introduce a maximal operator for functions defined on a doubling metric measure space, belonging to a rearrangement Banach function space. We provide some estimates for the distribution function of this operator, generalizing results proved by Bastero, Mil-man and Ruiz (1999) in the Euclidean case and by Costea and Miranda (2012) for New-tonian Lorentz spaces on metric spaces.
We continue our investigation [7] and [8] of Pfaff systems on manifolds by studying the horizontal distributions that are supplementary to the vertical distributions on the total space of a submersion. The horizontal distribution is kernel of the Pfaff system. We point out the Berwald connection induced by a nonlinear connection and its curvature tensors.
The purpose of this paper is to prove a general fixed point theorem for two pairs of map-pings satisfying a new type of common limit range property. In the last part of the paper, as applications, some fixed point results for mappings satisfying contractive conditions of integral type, for ϕ - contractive mappings and ψ- weak contractive mappings, gener-alizing Theorem 2 [27] and other known results, are obtained.
The purpose of this paper is to prove a general fixed point theorem for two pairs of map-pings involving altering distances and satisfying a new type of common limit range prop-erty in partial metric spaces. In the last part of the paper, as applications, some fixed point results for a sequence of mappings, for mappings satisfying contractive condi-tions of integral type and for ϕ- contractive mappings in partial metric spaces are ob-tained.
We present some significant open problems in Euclidean spaces , nN* which can be extended, mutatis mutandis, to for every non –empty set I .
The purpose of the present paper is to investigate some properties of subspaces in Rhe-onomic Finsler Spaces.We describe the induced connections of the subspaces.
In this paper, we obtain a Presic type fixed point theorem for two pairs of jointly 2k-weakly compatible maps in partial b-metric-like spaces.We also give an example to illus-trate our main theorem. We obtain three corollaries, for three and two maps respectively, which are variations of theorems from the papers [1, 2] and [8].
We classify para-Sasakian manifolds with respect to quarter-symmetric metric connection. Among others it is proved that ϕ -concircularly at para-Sasakian manifold is an η-Einstein manifold and a non-semisymmetric Ricci-generalized pseudosymmetric para-Sasakian manifold has constant curvature if and only if the space like vector field ξ is harmonic. Para-Sasakian manifolds admitting certain conditions on the concircular curva-ture tensor and Ricci tensor are studied and several new results are obtained.