Afrika Matematika
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Propagation of thermoelastic plane waves at an imperfect boundary of thermal conducting viscous liquid/generalized thermoelastic solid
Afrika Matematika - Tập 25 - Trang 81-102 - 2012
The reflection and transmission of thermoelastic plane waves at an imperfect interface between a thermal conducting viscous-liquid and generalized thermoelastic solid half-space has been investigated. The amplitude ratios of various reflected and transmitted waves are obtained for an imperfect boundary. Particular cases of normal stiffness, transverse stiffness, slip and welded boundaries are dedu......
A thermoviscoelastic contact problem with friction, damage and wear diffusion
Afrika Matematika - Tập 34 - Trang 1-17 - 2023
In this paper we present a model for quasistatic frictional contact between a thermoviscoelastic body and a moving foundation that involves wear of contacting surface and diffusion of wear debris. The damage effect is taken into account in the thermoviscoelastic constitutive law, its evolution is described by a parabolic inclusion with the homogeneous Neumann boundary condition. Contact is modeled......
Bitopological spaces in the context of pythagorean fuzzy set
Afrika Matematika - Tập 33 - Trang 1-8 - 2022
In this paper, we introduce pythagorean fuzzy bitopological space by extending pythagorean fuzzy topological space. Pairwise pythagorean fuzzy closed set, pairwise pythagorean fuzzy open set, pairwise pythagorean fuzzy closure, pairwise pythagorean fuzzy interior are introduce and studied their properties. Further, we introduce pythagorean fuzzy supra topological space and then investigated relati......
On rough Quasi- $$\Gamma $$ -hyperideals in $$\Gamma $$ -semihypergroups
Afrika Matematika - Tập 26 - Trang 303-315 - 2013
In this paper, we introduced the concept of rough
$$(m,n) $$
quasi-
$$\Gamma $$
-hyperideals i......
More notions and mappings via somewhere dense sets
Afrika Matematika - Tập 30 - Trang 1011-1024 - 2019
In this paper, the authors continue studying more properties of somewhere dense sets. They derive some interesting results related to them such as the collection of all somewhere dense subsets of a strongly hyperconnected space
$$(X,\tau )$$
form......
On 3-dimensional normal almost contact pseudo-metric manifolds
Afrika Matematika - Tập 32 - Trang 139-150 - 2020
The purpose of this paper is to study the almost contact pseudo-metric manifolds of dimension three which are normal. We derive certain necessary and sufficient conditions for an almost contact pseudo-metric manifold to be normal. We prove that in a normal almost contact pseudo-metric 3-manifold M of constant curvature k the function
......
Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions
Afrika Matematika - Tập 34 - Trang 1-25 - 2023
In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued mappings. Some fixed point theorems for the sum and the product of three multi-valued mappings defined on nonempty, closed convex set of Banach algebras are also presented. These results improve and complement a number of earlier works. As an application, we prove existenc......
Rough approximations in non-commutative residuated lattices
Afrika Matematika - Tập 29 - Trang 97-114 - 2017
Based on Pawlak’s rough set theory, we study and investigate the roughness in non-commutative residuated lattices, which are generalizations of non-commutative fuzzy structures such as MV-algebras and BL-algebras. We give many theorems and examples to describe the rough approximations. Also, to investigate the properties of roughness of subsets (and of course filters) more closely, we consider som......
Some remarks on mappings satisfying cyclical contractive conditions
Afrika Matematika - Tập 27 - Trang 291-295 - 2015
In this paper, we consider, discuss and complement fixed points results for mappings satisfying cyclical contractive conditions established by Kirk et al. (Fixed Point Theory 4(1):79–89, 2003). By using our new Lemma we get much shorter and nicer proofs of some results with the new concept of mappings.
Các nghiệm nguyên dương của một số phương trình Diophantine theo các dãy số nguyên Dịch bởi AI
Afrika Matematika - Tập 30 - Trang 181-194 - 2018
Trong bài báo này, chúng tôi định nghĩa một số dãy số mới, được ký hiệu là $$ (B_{n}), (b_{n}), (y_{n})$$ và trình bày mối quan hệ của những dãy số mới này với nhau. Tiếp theo, chúng tôi đưa ra tất cả các nghiệm nguyên dương của một số phương trình Diophantine dưới dạng các dãy số mới này.
#dãy số #phương trình Diophantine #nghiệm nguyên dương
Tổng số: 799
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