Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces by Ravi P. Agarwal, Hamed H. Alsulami, Erdal Karapınar, Farshid Khojasteh

“…Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. …”
Get full text

Analysis of the amplitude form of the quantum hash function by M. F. Ablayev, F. M. Ablayev, A. V. Vasiliev

“…As a corollary of the obtained theorem, a general statement about the generation of new amplitude quantum hash functions based on universal hash families and small-bias sets was proved.…”
Get full text

Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus by K. R. Karthikeyan, G. Murugusundaramoorthy, S. D. Purohit, D. L. Suthar

“…We found integral representation theorem and conditions for starlikeness. Furthermore, with regard to j,k-symmetric points, we successfully obtained the coefficient bounds for functions in the newly specified class. …”
Get full text

Mathematical Modelling of Malaria Disease Transmission and Control. by Muhangi, Benard

“…Besides, by using the comparison theorem and the theory of uniform persistence, the study will respectively, assess the global stability of the nontrivial disease-free equilibrium and the existence of positive periodic control measures. …”
Get full text

Real Root Polynomials and Real Root Preserving Transformations by Suchada Pongprasert, Kanyarat Chaengsisai, Wuttichai Kaewleamthong, Puttarawadee Sriphrom

“…Polynomials can be used to represent real-world situations, and their roots have real-world meanings when they are real numbers. The fundamental theorem of algebra tells us that every nonconstant polynomial p with complex coefficients has a complex root. …”
Get full text

Pseudoinversion of degenerate metrics by C. Atindogbe, J.-P. Ezin, Joël Tossa

“…We apply the theoretical results to Laplacian-type operator on a lightlike hypersurface to deduce a Takahashi-like theorem (Takahashi (1966)) for lightlike hypersurfaces in Lorentzian space ℝ1n+2.…”
Get full text

A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model by Aníbal Coronel, Luis Friz, Ian Hess, Alex Tello

“…We derive some appropriate a priori estimates for the weak solution, which implies the existence, by application of Gossez theorem, and the uniqueness by standard methodology of comparison of two arbitrary solutions.…”
Get full text

Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient by Te-Wen Tu, Sen-Yung Lee

“…The transformed system is thus solved by series expansion theorem. Limiting cases of the solution are studied and numerical results are compared with those in the literature. …”
Get full text

Foliations by minimal surfaces and contact structures on certain closed 3-manifolds by Richard H. Escobales

“…If additionally, M has a finite-fundamental group, then 𝒱[X,Y] never vanishes on M, by the above together with a theorem of Sullivan (1979). In this case H is always a contact structure. …”
Get full text

Multiobjective Lightning Flash Algorithm Design and Its Convergence Analysis via Martingale Theory by Jiandong Duan, Jing Wang, Xinghua Liu, Gaoxi Xiao

“…Based on the martingale theory, the MOLFA convergence analysis is carried out in terms of the supermartingale convergence theorem, which shows that the MOLFA can reach the global optimum with probability one. …”
Get full text

Comparison results and linearized oscillations for higher-order difference equations by G. Ladas, C. Qian

“…We also establish a linearized oscillation theorem according to which, when m is odd, every solution of Eq.(1) oscillates if and only if every solution of an associated linear equationΔmzn+(−1)m+1pzn−k=0,   n=0,1,…         (*)oscillates and, when m is even, every bounded solution of Eq.(1) oscillates if and only if every bounded solution of (*) oscillates.…”
Get full text

Commutativity of one sided s-unital rings through a Streb's result by Murtaza A. Quadri, V. W. Jacob, M. Ashraf

“…These results generalize a number of commutativity theorems established recently.…”
Get full text

Coincidence Point Results on Relation Theoretic Fw,Rg-Contractions and Applications by Muhammad Aslam, Hassen Aydi, Samina Batul, Amna Naz

“…Further, using an additional condition of weakly compatible mappings, a common fixed-point theorem and a fixed-point result are proved for Fw,Rg-contractions in metric spaces equipped with a transitive binary relation. …”
Get full text

Time-varying Reliability Analysis of Planetary Gear Reducers Based on Fatigue Failure by Luo Xundiao, Liu Ganhua

“…Secondly, combined with the monotone theorem, the time-varying reliability model is simplified, and the reliability of planetary gear reducers is solved by Matlab programming. …”
Get full text

Multiple Positive Solutions of Third-Order BVP with Advanced Arguments and Stieltjes Integral Conditions by Jian Chang, Jian-Ping Sun, Ya-Hong Zhao

“…Under some suitable conditions, by applying a fixed point theorem due to Avery and Peterson, we obtain the existence of multiple positive solutions to the above problem. …”
Get full text

Existence of Bounded Positive Solutions for Partial Difference Equations with Delays by Zeqing Liu, Zhihua Wu, Young Chel Kwun, Shin Min Kang

“…With the help of the Banach fixed-point theorem, the existence results of uncountably many bounded positive solutions for the partial difference equation are given; some Mann iterative schemes with errors are suggested, and the error estimates between the iterative schemes and the bounded positive solutions are discussed. …”
Get full text

Gaya Kognitif Field-Dependent dan Field-Independent sebagai Jendela Profil Pemecahan Masalah Polya dari Siswa SMP by Eka Resti Wulan, Rusmala Eva Anggraini

“…The aim of this research is to describe junior high school students’ problem solving profile in the Pythagoras Theorem problem based on the cognitive styles of FI and FD. …”
Get full text

A Static Moment for a Polygon and Its Applications by E. Koźniewski

“…A special interpretation of the notion of static moment with respect to the segment of line and a polygon with respect to the border is explained and an appropriate theorem is formulated and proved. Examples of potential employment of these notions have been indicated…”
Get full text

Non-cooperative inventory games for defective items and quantity discounts using strategic complementarity by Rubono Setiawan

“…The concept of supermodular games is used to obtain the equilibria of these problems. A new existence theorem of Nash equilibrium in a specific condition has been proved. …”
Get full text

Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order by J. Caballero, J. Harjani, K. Sadarangani

“…Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.…”
Get full text