Table of Content
Volume 4, Number 2 (2021)-Table of Contents
Open AccessArticleRicci curvature inequalities for warped product skew CR-submanifolds in Cosymplectic space forms
Annals of Communications in Mathematics 2021
, 4 (2)
, 89-105
DOI: https://doi.org/10.62072/acm.2021.040201
AbstractThe main objective of this paper is to achieve the Chen-Ricci inequality for skew CR-warped product submanifold isometrically immersed in a Cosymplectic space form in the expressions of the squared norm of mean curvature vector and warping functions. The equality cases is likewise discussed. However, in particular, we also derive Chen-Ricci inequality for CR-warped product submanifolds.
Open AccessArticlePrime and irreducible UP-filters of meet-commutative UP-algebras
Annals of Communications in Mathematics 2021
, 4 (2)
, 106-113
DOI: https://doi.org/10.62072/acm.2021.040202
AbstractIn this article, we give a number of important properties of meet-commutative UP-algebras. In the class of these UP-algebras, we introduce and analyze the concepts of prime and irreducible UP-filters.
Open AccessArticleNew approach towards A-ideals in ternary semirings
Annals of Communications in Mathematics 2021
, 4 (2)
, 114-125
DOI: https://doi.org/10.62072/acm.2021.040203
AbstractTo interact somebody with someone various almost ideals (shortly A -ideals), quasi A -ideals, bi quasi A -ideals, tri A -ideals and tri quasi A -ideals in ternary semiring and give some characterizations. We develop the implications ideal =⇒ quasi ideal =⇒ two sided bi quasi ideal =⇒ two sided tri quasi ideal =⇒ two sided tri quasi A -ideal =⇒ two sided bi quasi A -ideal =⇒ bi A -ideal =⇒ quasi A -ideal =⇒ A -ideal and reverse implications do not holds with examples. We show that the union of A -ideals (bi A -ideals, quasi A -ideals, bi quasi A -ideals) is a A -ideal (bi A -ideal, quasi A -ideal, bi quasi A -ideal) in ternary semiring.
Open AccessArticleFuzzy cut point spaces
Annals of Communications in Mathematics 2021
, 4 (2)
, 126-130
DOI: https://doi.org/10.62072/acm.2021.040204
AbstractBy means of fuzzy connected topological space having no any fuzzy non-cut point, the concept of fuzzy cut-point space is introduced. We show that a fuzzy cut-point space is infinite. Moreover it is showed that a fuzzy cut-point space is non-compact. Finally we have studied fuzzy irreducible cut-point space.
Open AccessArticleFuzzy paraopen sets and maps in fuzzy topological spaces
Annals of Communications in Mathematics 2021
, 4 (2)
, 131-140
DOI: https://doi.org/10.62072/acm.2021.040205
AbstractThe purpose of this article is to study the concepts of fuzzy paraopen and fuzzy paraclosed sets in fuzzy topological spaces Further, we introduce few class of fuzzy maps namely fuzzy paracontinuous, ∗-fuzzy paracontinuous, fuzzy parairresolute, fuzzy minimal paracontinuous, fuzzy maximal paracontinuous mappings and study their prpoerties.
Open AccessArticleDifferent Types of Prime bi-ideals in Ternary Semirings
Annals of Communications in Mathematics 2021
, 4 (2)
, 141-148
DOI: https://doi.org/10.62072/acm.2021.040206
AbstractTo interact three different types of prime bi-ideals are introduce and the relation between them is obtain. Also we have define three different mb -systems. The bi-ideal P of a ternary semiring R is 2-prime if and only if RML ⊆ P, where R is a right ideal, M is a lateral ideal and L is a left ideal of R, implies R ⊆ P or M ⊆ P or L ⊆ P. If B is a bi-ideal of R, then HB is the unique largest two-sided ideal of R contained B. Let M be a mb 3 system and bi-ideal B of R with B ∩ M = φ. Then there exists a 3-prime P of R containing B with P ∩ M = φ.
Open AccessArticleBoundary value problems for pantograph equations under generalized
Annals of Communications in Mathematics 2021
, 4 (2)
, 149-154
DOI: https://doi.org/10.62072/acm.2021.040207
AbstractThe sufficient conditions are estabilished for the existence of solutions for a class of boundary value problems for pantograph equations involving the ψ-type fractional deerivative in Caputo sense.
Open AccessArticleCommon fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces
Annals of Communications in Mathematics 2021
, 4 (2)
, 155-163
DOI: https://doi.org/10.62072/acm.2021.040208
AbstractIn this paper, we prove common fixed point theorems for α∗-ψ-contraction in b-metric spaces, which generalizes the result of S. Aleksic et al [Remarks on common fixed point results for generalized α∗-ψ-contraction multivalued mappings in b-metric spaces ,Adv. Fixed Point Theory, 9 (2019), No. 1, 1-16] using the concept of C class function in b-in metric spaces. An example is given to support our results.
Open AccessArticlem-ideals and its generators of ternary semigroups
Annals of Communications in Mathematics 2021
, 4 (2)
, 164-171
DOI: https://doi.org/10.62072/acm.2021.040209
AbstractThe purpose of this paper is to introduce some new classes of m-bi ideals and m-quasi ideals in ternary semigroups and give some characterizations in terms of bi ideals and quasi ideals. Let U1 be the m-bi ideal of T and U2 be the m-bi ideal of U1 such that U3 2 = U2, shown that U2 is a m-bi ideal of T. Let U1, U2 and U3 be the three ternary subsemigroups of T, it has been shown that U1U2U3 is a t-bi ideal if at least one of U1, U2, U3 is l-RI or m-LATI or n-LI of T. Also we discuss m-bi ideal generated by B is < B > sub>m= B ∪ P finite
Open AccessArticleOn e*-regularity and e *-normality in intuitionistic fuzzy topological spaces
Annals of Communications in Mathematics 2021
, 4 (2)
, 172-179
DOI: https://doi.org/10.62072/acm.2021.040210
AbstractIn this paper, the concept of intuitionistic fuzzy e ∗-open and e ∗-closed sets to introduce some new types of intuitionistic fuzzy e ∗-separation axioms, intuitionistic fuzzy e ∗-Ti space (for i = 3, 4) and intuitionistic fuzzy e ∗-regular and e ∗-normal spaces are introduced, some theorems about them are investigated. Stronger forms of intuitionistic fuzzy e ∗-regular and intuitionistic fuzzy e ∗-normal spaces are introduced. Moreover, the relationships between these separation axioms and others are investigated.
Open AccessArticleGeneralizations of implication-based fuzzy subalgebras in BCK/BCI-algebras
Annals of Communications in Mathematics 2021
, 4 (2)
, 180-189
DOI: https://doi.org/10.62072/acm.2021.040211
AbstractIn [2], Jun discussed implication-based subalgebras in BCK/BCI-algebras. In this article, more general forms than Jun’s results are discussed. We provide an example to show that a fuzzy subalgebra with thresholds 0 and 0.5 is not an implication-based subalgebra under the Łuckasiewicz implication operator, and then conditions for a fuzzy subalgebra with thresholds 0 and 0.5 to be an implication-based subalgebra under the Łuckasiewicz implication operator are provided.
Open AccessArticleA note on a coupled system of Caputo-Fabrizio fractional differential inclusions
Annals of Communications in Mathematics 2021
, 4 (2)
, 190-195
DOI: https://doi.org/10.62072/acm.2021.040212
AbstractA coupled system of Caputo-Fabrizio fractional differential inclusions is studied and the existence of solutions is obtained when the set-valued maps that define the problem have nonconvex values, but there are Lipschitz in the state variables.
Open AccessArticlePythagorean cubic ideal of semigroup
Annals of Communications in Mathematics 2021
, 4 (2)
, 196-206
DOI: https://doi.org/10.62072/acm.2021.040213
AbstractIn this paper, we introduce the notion of Pythagorean cubic ideal in semigroup. Also, we discuss some of their properties with examples.