Data dependence results of a new multistep and S-iterative schemes for contractive-like operators

In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators. We also prove some data dependence results of this new iteration and S-iteration schemes for contractive-like operators. Our results extend and improve some known results in the literature.Comment: arXiv admin note: text overlap with arXiv:1211.570

Circular 73

An assessment of Growth of Infrastructure Booms have been a common element in the development of frontier areas in the 19th and 20th centuries. Most commonly, the booms have been associated with resource development such as the mineral booms of the western United States. Booms usually involve some type of dramatic short- term change which has wide-ranging implications (Gilmore, 1976). Since the arrival of the Russians in Alaska, six major booms have occurred: furs, whales, salmon, minerals, military, and petroleum. Each of these booms has, to some degree, created changes in the landscape of Alaska, in particular, the infrastructural base, which in turn has facilitated subsequent development, either another major boom, or a smaller development. For example, agricultural development has been enhanced by mineral, military, and petroleum booms in Alaska. The cumulative impact on infrastructure of more than one boom, or multibooms, as it is referred to here, is the focus of this paper. One problem encountered in studying booms is that there is no general agreement on what constitutes a boom. Detailed studies of booms in communities such as Dixon’s (1978) analysis of Fairbanks and Gilmore’s multi-community work in the Great Plains—Rocky •mountain regions, contained no specific definition of the term “boom”. Yet it was clear in each study that something dramatic had occurred. More general historical studies of the Western mineral bonanzas (Greever, 1963) or the Klondike gold rush (Berton, 1958) likewise suggest a number of factors such as population rise, influx of money, resource extraction, and infrastructure expansion. But in each case, there is no specific factor or define rate of something that specifically qualifies a time period as a boom. In this study, we are concerned with dramatic change of events which have had a major impact on the geographic landscape of an area, As a framework for the initial study, we review those events which have been given attention as boom-type activities in the historical literature of Alaska (Rogers, 1962; Naske and Slotnick, 1987)

A fixed fuzzy point for fuzzy mapping in complete metric spaces

In this paper, we prove a fixed fuzzy point theorem for fuzzy mappings over a complete metric space

An intelligent, free-flying robot

The ground based demonstration of the extensive extravehicular activity (EVA) Retriever, a voice-supervised, intelligent, free flying robot, is designed to evaluate the capability to retrieve objects (astronauts, equipment, and tools) which have accidentally separated from the Space Station. The major objective of the EVA Retriever Project is to design, develop, and evaluate an integrated robotic hardware and on-board software system which autonomously: (1) performs system activation and check-out; (2) searches for and acquires the target; (3) plans and executes a rendezvous while continuously tracking the target; (4) avoids stationary and moving obstacles; (5) reaches for and grapples the target; (6) returns to transfer the object; and (7) returns to base

Tibial Plateau Fracture Following Low Energy Fall in the Rocky Mountains

Tibial plateau fractures are debilitating injuries. They can occurin younger individuals who sustain a high energy trauma or, withincreasing age, lesser degrees of trauma and underlying bone pathology such as osteoporosis, metabolic bone disease, and malignancy.1Outside these cases, tibial plateau fractures are relatively uncommon.However, these fractures can occur in healthy patients who have sustained direct trauma to the knee.Fractures of the tibial plateau often are classified according to theSchatzker or AO classification systems.2,3 These systems evaluate theinvolvement of both the medial and lateral plateaus, degree of comminution, extension into the joint, and displacement (both articularsurfaces and the relationship of the diaphysis to the metaphysis).Most tibial plateau fractures occur in the lateral aspect of the tibialplateau.1 The increased frequency of lateral fractures is due to themedial tibial plateau being able to resist higher weight-bearing loaddue to the presence of more cancellous bone. More importantly, thelateral plateau has more articular surface exposed during extensioncompared to the medial plateau, which increases likelihood of injury.4The standard of care for most displaced tibial plateau fracturesis surgical management with open reduction and internal fixation(ORIF).5 Conservative management, such as leg bracing, is an optionfor fractures that are nondisplaced or in patients too fragile for surgical intervention. In the senior population, a total knee arthroplasty(TKA) is a less common option. Tibial plateau fractures, particularlymedial tibial plateau fractures, caused by direct trauma in the elderly,non-osteoporotic population are uncommon.We present the case of an active male without overt risk for severefracture (10-year fracture risk of 10% via FRAX score) who wasworking to repair a trail in the Rocky Mountains. While other injurieswere more likely given the mechanism of injury and patient risk, thiscase highlighted the importance of considering tibial plateau fracture,even in atypical settings without significant risk. Improved awarenessof this mechanism of injury will lead to more accurate diagnosis andgreater post-injury management