Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces

In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying generalized mixed monotone property in ordered metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled and quadrupled ones) fixed point results existing in the literature.Comment: arXiv admin note: substantial text overlap with arXiv: 1601.0251

Generalized multiplicities of edge ideals

We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutative algebra and polyhedral geometry. For instance, we show the $j$-multiplicity is multiplicative over the connected components of a hypergraph, and we explicitly relate the $j$-multiplicity of the edge ideal of a properly connected uniform hypergraph to the Hilbert-Samuel multiplicity of its special fiber ring. In addition, we provide general bounds for the generalized multiplicities of the edge ideals and compute these invariants for classes of uniform hypergraphs.Comment: 24 pages, 6 figures. The results of Theorem 4.6 and Theorem 9.2 are now more general. To appear in Journal of Algebraic Combinatoric

Remarks on a common Fixed Point Theorem in compact metric spaces

A general common fixed point theorem for two pairs of weakly compatible self mappings proved in compact metric spaces employing a slightly modified implicit relation which generalizes almost all existing relevant common fixed point theorems. Some related results are also derived besides furnishing illustrative examples

An algorithm for pulsed activation of solenoid valves for variable rate application of agricultural chemicals

An alternative algorithm to Pulse Width Modulation (PWM) for pulsed activation of solenoid valves for applying chemicals through agricultural sprayer nozzles is presented. Solenoid valves attached to individual spray nozzles on a modified EMDEK tractor-mounted sprayer system are activated by electronic pulsation to vary the application rate of agricultural chemicals, varying the output by location according to Geographical Information System (GIS) data and a GPS system. A potential advantage of this alternative algorithm over pulse width modulation based systems is the use of lower-cost industrial solenoid valves with slower opening and closing times instead of the more expensive high speed valves normally used in PWM systems

A fixed point approach for finding approximate solutions to second order non-instantaneous impulsive abstract differential equations

This paper is concerned with the approximation of solutions to a class of second order non linear abstract differential equations. The finite-dimensional approximate solutions of the given system are built with the aid of the projection operator. We investigate the connection between the approximate solution and exact solution, and the question of convergence. Moreover, we define the Faedo-Galerkin(F-G) approximations and prove the existence and convergence results. The results are obtained by using the theory of cosine functions, Banach fixed point theorem and fractional power of closed linear operators. At last, an example of abstract formulation is provided

Modification of a commercial PWM sprayer control system for precision farming application

The control system of a commercial sprayer was modified for variable–rate control of 12 individual solenoid shut off valves spaced 0.5 m apart on a sprayer boom. The variable-rate control system consisted of pulse width modulation (PWM) solenoids, a by pass control valve, and nozzle control system interfaced to a computer. An algorithm was developed to vary application rate across the booms with computing the best possible combinations of pulse width at the optimal boom through the computer control program for nozzles. This algorithm compensates inaccuracy of applying desired application rate due to pressure fluctuations across the booms

The Architecture Curriculum Between Two Revolutions: From the West to the Islamic Curriculum

This paper was presented at the 2020 Schools of Thought Conference hosted by the Christopher C. Gibbs College of Architecture at the University of Oklahoma.The architectural curriculum in Iran has been changed five times in the last five decades (1963–2017). In each period, efforts to change the content and structure of the curriculum were based on the architectural profession’s vision with regard to sociopolitical and economic issues, such as the agenda of development in the White Revolution and Islamizing the society after the 1979 Islamic Revolution. The curriculum as a sociopolitical artifact can be defined as a systematic set of relations between people, objects, events, and circumstances that is changed and developed based on the sociopolitical agenda. This paper focuses on crucial moments in the transformation of architectural education between the two contemporary revolutions in Iran, the White Revolution and the Islamic Revolution. The story of the transformation of the curriculum began in 1963 when a new system of architectural education, Italian pedagogy, was brought to Iran and decolonized the curriculum from the previous pedagogy system, Beaux-Arts, and it continued until the Cultural Revolution (1980–1984), when the new Islamic government decided to detoxify the curriculum from Western influence to Islamize it. This paper outlines the transformation of the structure and content of the architecture curriculum to adapt to the sociopolitical agenda of each revolution.This paper is part of the author's PhD research, “The Revolutionary Studio: When a Studio Could Act as an Agent,” which is funded by the University of Western Australia, School of Design, under the supervision of Dr. Nigel Westbrook and co-supervisors Dr. Ali Mozaffari and Dr. Maria Ignatevia (2018 to the present).Ye