Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

The purpose of this paper is to present some existence results for coupled fixed point of a .'; / contractive condition for mixed monotone operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Jain et al. in (International Journal of Analysis, Volume 2014, Article ID 586096, 9 pages). Moreover, we have an application to some integral system to support the result

An Extension of Rational Contractive Condition in Partially Ordered Rectangular Metric Spaces

In this paper, we discuss the concept of partially ordered rectangular metric spaces using the notation (X, <=,d). Also, we give a generalized contractive condition in the context of partially ordered rectangular metric space for all comparable pair of X. Our results extend and generalize the well-known results of [13], [1], [14] and [11]

West-Central Asia: a comparative analysis of students’ trajectories in Russia (Moscow) from the 1980s and China (Yiwu) from the 2000s

Through an exploration of oral history and ethnographic material, this article makes a comparative examination of the life-trajectories of students from Yemen, Iraq, and Afghanistan who studied in Russia (Moscow) during the late 1980s, and from Tajikistan, Iran, Azerbaijan and Saudi Arabia who studied in China in the 2000s. In contrast to the cohort of students in Moscow who were mainly men from places with relatively amicable relations with the USSR, the female students of Muslim background from West and Central Asia regarded China as a place where they could pursue fulfilling forms of economic and personal autonomy. By comparing these two groups of international students, this article sheds light into the nature of historical, geographical and geopolitical connections and disconnections between West-Central Asia, Eurasia (especially Russia) and East Asia (especially China). By centring its attention to the demise of Soviet/Russian education and the emergence of China as a figure of economic prosperity, the article theorises West-Central Asia as a particular arena of interaction suitable to comprehend the networks, ‘third spaces’ or zones of interaction (e.g. Moscow and Yiwu), and forms of connection fostered by these students’ trajectories

A short note on Hardy-Rogers contractive conditions

In this writing, we give some theorem in metric space under cyclic coupled Hardy-Rogers contractive conditions. Also, we offer a different perspective on this condition in metric space involving a graph

Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph

This review reckons with iterative scheme of Thianwan to approximate a common fixed point for four G-nonexpansive mappings (tersely G-nm). We verify several convergence results for in this way mappings in Banach space by dint of a digraph

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Branciari reorganized the notion of metric to attain a novel distance function by replacing the triangular inequality with the quadrilateral inequality. The reorganized metric function was said rectangular metric in some resources, or general metric in some others. Ansari introduced a more general function so-called upper class. Inspired and motivated by this facts, we give an extansion of weakly contractive mapping via upper class type II in the setting of Branciari metric space. An application is given here to prove new fixed point results for graphic weakly contractive mappings in Branciari metric space endowed with a graph. Moreover, we derive an example in support of our main results

CONNECTION TECHNOLOGIES FOR FAST ERECTION OF STEEL STRUCTURES FOR BUILDINGS (FEOSBUILD)

Steel-concrete hybrid building systems offer sustainable and effective structural solutions for multi-story and high-rise buildings considering that steel is a completely recyclable material and that the most advantageous mechanical properties of steel and concrete could be used simultaneously against the effects of tension and compression stress resultants. On the other hand, a small percentage of multi-story buildings and a small number of high-rise structures are actually constructed using steel-concrete hybrid building technologies. This is mostly a result of general contractors’ orientation toward the completion of construction projects using traditional reinforced-concrete construction techniques. Therefore, they generally do not employ a sufficient and competent workforce to execute labor-intensive and complex on-site manufacturing activities such as welding of fin plates and pre-tensioning applications for high-strength bolts required to assemble steel beams and reinforced-concrete columns and walls of steel-concrete hybrid building systems. In order to reduce labor-intensive on-site tasks, general construction contractors typically utilize conventional construction approaches using only reinforced concrete building systems. As a result, the structural and environmental benefits of steel-concrete hybrid building systems could not be widely adopted by the construction industry. This research project proposes three different novel structural joint configurations with cutting-edge saw-tooth interface mechanical interlock bolted connection, bolt-less plug-in connection, and grouted joint details for beam-to-column joints of steel-concrete hybrid building systems. The proposed joint configurations eliminate on-site welding and enable the accommodation of construction and manufacturing tolerances in three spatial directions to achieve fast erection strategies for the construction of steel-concrete hybrid building systems. Therefore, the outcomes of the research project make it possible for general construction contractors to use their existing workforce to complete construction tasks for steel-concrete hybrid building systems without the requirement of specialized tools or training. In this study, a total of six separate experimental test campaigns were established to determine the load-deformation behaviors of the proposed joint configurations and to identify their load-bearing components. In order to show that the suggested joint configurations are appropriate for mass production without the utilization of special equipment or machinery, the experimental test prototypes of the proposed joint configurations were produced in partnership with commercial producers. The experimental test campaigns were simulated with numerical models by means of advanced computer-aided finite element analyses for the identification of the ultimate deformation limits of the proposed joint components and to clarify their progressive failure mechanisms under quasi-static loading conditions. A set of analytical resistance models were developed to estimate the load-bearing capacities of the proposed joint configurations based on the failure modes identified by the observations made during the experimental tests and in accordance with the output results of the numerical simulations. Based on the analytical expressions, the most significant, in other words, the basic variables impacting the load-bearing capacities of the proposed joint configurations were identified. Additionally, the load-deformation behaviors of the proposed joint configurations were further investigated with numerical parametric studies by parametrizing the basic variables to understand their impact on the load-deformation behaviors of the proposed joint configurations. To verify the accuracy of the analytical resistance models of the proposed joint configurations, the estimations of the analytical expressions were compared with the output results of the numerical parametric studies. Based on the distribution of the estimations of the analytical expression against the output result of the numerical parametric studies, characteristic and design partial safety factors were established according to EN1990, Annex D for the analytical resistance models of the saw-tooth interface mechanical interlock bolted connection and bolt-less plug-in connection. The estimations of the analytical resistance model of grouted joint details for beam-to-column joints of steel-concrete hybrid building systems were also compared with the output results of a numerical parametric study but no partial safety factor was established for this joint detail

Experimental determination of bending behavior of multilayered and multidirectionally-stitched E-Glass fabric structures for composites

The aim of this study was to experimentally determine the bending behavior of developed multilayered multistitched E-Glass preform structures. For this reason, a bending rigidity test instrument based on the cantilever test principle was used. A bending rigidity test was conducted on all developed multilayered multistitched E-Glass preform structures. Yarn linear density and fabric density influenced the bending rigidity of single layer E-Glass fabric. The single layer fabric's bending rigidity depended on the off-axis angle orientations in the fabric plane. On the other hand, the bending rigidity of the multilayered unstitched E-Glass fabric structure depended on the number of fabric layers. The bending rigidities of the multilayered four directional hand and machine stitched E-Glass preform structures were high compared with one and two directional hand and machine stitched E-Glass preform structures. The bending rigidities of all heavy (6 step/cm) machine stitched E-Glass preform structures were high compared with light (2 step/cm) machine and hand (1 step/cm) stitched E-Glass preform structures. In addition, the bending rigidities of all developed multilayered hand and machine stitched E-Glass preform structures were higher than those of unstitched preform structures due to stitching. In addition, the multilayered multistitched preform structures showed a low order of bending curvatures compared with the multilayered unstitched preform structures. The results indicated that the number of stitching directions and stitching steps substantially affected the bending rigidity of the developed preform structures. Stitching yarn type was also a parameter for the bending behavior of the multistitched preform structures. It was considered that the unstitched fabric structure could be easily formed whereas the directional stitched E-Glass preform structure became stiff and could not be easily formed