In this paper, we introduce some special classes of ideals in Γ-semirings called prime k-ideal, p... more In this paper, we introduce some special classes of ideals in Γ-semirings called prime k-ideal, prime full k-ideal, prime ideals, maximal and strongly irreducible ideals. Considering and investigating properties of the collection A, T, M, B and S of all proper prime k-ideals, proper prime full k-ideals, maximal ideals, prime ideals and strongly irreducible ideals, respectively, of a Γ-semiring R, we construct the respective topologies on them by means of closure operator defined in terms of intersection and inclusion relation among these ideals of Γ-semiring R. The respective obtained topological spaces are called the structure spaces of the Γ-semiring R. We study a several principal topological axioms and properties in those structure spaces of Γ-semiring such as separation axioms, compactness and connectedness etc. Key Words: Γ-Semiring; Prime k-ideal (ideal); (strongly) irreducible ideal; Hull-Kernel topology;
Journal of Computational Analysis and Applications
A fixed point theorem in generalized quasi-metric spaces is proved. The obtained result extends i... more A fixed point theorem in generalized quasi-metric spaces is proved. The obtained result extends in generalized quasi-metric spaces the Ciric’s fixed point theorem on quasi-contraction mapping. An example shows that the main theorem of this paper provides a larger class of mappings than the Ciric’s fixed point theorem.
We obtain a new fixed point theorem in generalized quasimetric spaces. This result generalizes, u... more We obtain a new fixed point theorem in generalized quasimetric spaces. This result generalizes, unify, enrich, and extend some theorems of well-known authors from metric spaces to generalized quasimetric spaces.
A fixed point theorem in generalized metric spaces is proved. The obtained result can be consider... more A fixed point theorem in generalized metric spaces is proved. The obtained result can be considered as an extension and generalization of some well-known fixed point theorems from metric spaces to generalized metric spaces.
A fixed point theorem in generalized metric spaces is proved. The obtained result can be consider... more A fixed point theorem in generalized metric spaces is proved. The obtained result can be considered as an extension and generalization of some well-known fixed point theorems from metric spaces to generalized metric spaces.
In this paper, we introduce some special classes of ideals in Γ-semirings called prime k-ideal, p... more In this paper, we introduce some special classes of ideals in Γ-semirings called prime k-ideal, prime full k-ideal, prime ideals, maximal and strongly irreducible ideals. Considering and investigating properties of the collection A, T, M, B and S of all proper prime k-ideals, proper prime full k-ideals, maximal ideals, prime ideals and strongly irreducible ideals, respectively, of a Γ-semiring R, we construct the respective topologies on them by means of closure operator defined in terms of intersection and inclusion relation among these ideals of Γ-semiring R. The respective obtained topological spaces are called the structure spaces of the Γ-semiring R. We study a several principal topological axioms and properties in those structure spaces of Γ-semiring such as separation axioms, compactness and connectedness etc. Key Words: Γ-Semiring; Prime k-ideal (ideal); (strongly) irreducible ideal; Hull-Kernel topology;
Journal of Computational Analysis and Applications
A fixed point theorem in generalized quasi-metric spaces is proved. The obtained result extends i... more A fixed point theorem in generalized quasi-metric spaces is proved. The obtained result extends in generalized quasi-metric spaces the Ciric’s fixed point theorem on quasi-contraction mapping. An example shows that the main theorem of this paper provides a larger class of mappings than the Ciric’s fixed point theorem.
We obtain a new fixed point theorem in generalized quasimetric spaces. This result generalizes, u... more We obtain a new fixed point theorem in generalized quasimetric spaces. This result generalizes, unify, enrich, and extend some theorems of well-known authors from metric spaces to generalized quasimetric spaces.
A fixed point theorem in generalized metric spaces is proved. The obtained result can be consider... more A fixed point theorem in generalized metric spaces is proved. The obtained result can be considered as an extension and generalization of some well-known fixed point theorems from metric spaces to generalized metric spaces.
A fixed point theorem in generalized metric spaces is proved. The obtained result can be consider... more A fixed point theorem in generalized metric spaces is proved. The obtained result can be considered as an extension and generalization of some well-known fixed point theorems from metric spaces to generalized metric spaces.
Uploads
Papers by Kristaq Gjino