In this paper, we prove some coincidence point and common fixed point results for various multiplicative expansive type mappings in the context of multiplicative metric spaces. We give some examples to demonstrate the validity of the results. Our results improve and supplement some recent results in the literature.
In this paper we define a new class of operators in Hilbert space called square-normal operator and we give an example to show that the square-normal operator is not normal operator. We also consider the conditions on any operator to be a square-normal operator. Then we give a condition in order to get a normal operator from a square-normal operator.
In the manuscript, using C-class function, a concept of a mixed monotone mapping is acquainted and a coupled fixed point theorems is substantiated for such nonlinear shrinkage mappings in partially ordered exact rectangular metric spaces. We enlarge and universalize the conclusions of [9].
In this paper, we investigate the existence and nonexistence of positive solutions for a system of nonlinear higher-order ordinary differential equations with Riemann-Stieltjes integral boundary conditions which contain some positive constants.
Compared with our knowledge of other fundamental constants, the exact value of the Newtonian constant of gravity (G) has long been enigmatic, and there is currently no ocially accredited exact solution for G. Dierent from the widely adopted experimental approach and unlike other theoretical ways in resolving the value of G, by applying to the eld equation of general relativity two newly developed tensor-based mathematical approaches (one is referred to as \eigen-modulus" to show the converging ability of a tensor, the other is called \the law of tensorial determination" to evaluate indeterminate forms involving tensors), we provide a possible exact solution to G that only relates to the electrical permittivity (ϵ0) and magnetic permeability (μ0) of free space, and is the corresponding mass density with constant value, with η = 1 (kg·m −3). This research casts doubt on the prevailing hypothesis that G is an independent constant. Our nding may place the theory of gravity and many related researches on a more objective and quantitative footing. The result not only aects the theory of gravity but also plays a key role in maintaining theories of classical mechanics, cosmology, general relativity and astrophysics.
Aims/ objectives: Using the concepts of the classical thermodynamics, we calculated in this work, the thermodynamic potential of black holes in the presence of a constant externel magnetic field present in the surrounding black hole. This calculation takes into account the developments previously provided by (Hawking, Bekenstein, Davies and Straumann) on the equations governing the dynamics of black holes,with an arbitrary value of the surface gravity k. Like the four classical thermodynamic Maxwell equations, we have developed, for black holes, new twenty four fundamental equations. Among these equations, particular attention was given to the calculation of specific heats CΩ,Φ,M and CJ,Q,B and the Mayer formula for a black hole in the presence of magnetic field.
The objective of this research was to examine how satisfied students are with the facilities and services provided by private hostels and identify the satisfaction factors that predict student’s choice of a hostel. A descriptive, cross-sectional survey was conducted among 350 purposively selected students staying in private hostels in Ho Polytechnic, Ghana. Logistic regression analysis was used to identify the predictors of the satisfaction factors. Results show that five factors “X2 (Security issues of the hostel)”, “X4 (Availability of water facilities)”, “X5 (Availability of electricity)”, “X6 (Calm and peaceful environment)” and “X15 (Availability of toilet facilities)” were statistically significant in the prediction of students’ satisfaction with hostel facilities and services with a predicted satisfaction rate of 98.03%. It is therefore recommended that there is a need for private developers to be engaged in a partnership scheme with the school management to construct more hostels on campus with current state of the art facilities which will meet the needs of the growing population of the students. Also, to attract students, management and developers of a hostel should provide an affordable hostel within a calm and peaceful environment with high level of security and availability of water, toilet and electricity facilities.
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