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This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. Furthermore, the authors produce an example to demonstrate the applicability of the results.

The results of this paper are theoretical and analytical in nature.

The authors established some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. An example was constructed to demonstrate the applicability of the results.

Analytical and theoretical results.

The results of this paper can be applied in science and engineering.

The results of this paper is applicable in certain social sciences.

The results of this paper are new and will open up new areas of research in mathematical sciences.

The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ-quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of T-stability, almost T-stability and summably almost T-stability to modular function spaces and give some results.

In this paper, the explicit multistep, explicit multistep-SP and implicit multistep iterative sequences are introduced in the context of modular function spaces and proven to converge to the fixed point of a multivalued map T such that PρT, an associate multivalued map, is a ρ-contractive-like mapping.

The concepts of relative ρ-stability and weak ρ-stability are introduced, and conditions in which these multistep iterations are relatively ρ-stable, weakly ρ-stable and ρ-stable are established for the newly introduced strong ρ-quasi-contractive-like class of maps.

Noor type, Ishikawa type and Mann type iterative sequences are deduced as corollaries in this study.

The results obtained in this work are complementary to those proved in normed and metric spaces in the literature.

The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The authors apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The results extend generalize compliment and include several known results as special cases.

The results of this paper are theoretical and analytical in nature.

The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The results extend, generalize, compliment and include several known results as special cases.

The results are theoretical and analytical.

The results were applied to solving nonlinear integral equations.

The results has several social applications.

The results of this paper are new.

Recognizing the rationale of a product family architecture (PFA) with respect to design for mass customization (DFMC), this paper discusses the fundamental issues underlying a PFA, including product information modeling, structural implications of product families, functional variety versus technical variety, class‐member relationships inherent in variety, modularity and commonality, PFA design spaces, and PFA composition. The background research is reviewed in terms of product architecture and modularity, product platform and product families, and product modeling and design process models. To organize product varieties in DFMC, a PFA should be described from three different perspectives, namely the functional (as seen from customer, sales and marketing viewpoints), behavioral (as seen from the product technology or design engineer perspective) and structural (as seen from the fulfillment or manufacturing and logistic perspective). Meeting diverse customer requirements and achieving volume economy simultaneously can be best achieved by synchronizing these three perspectives. In fact, the mappings between PFA views manifest the cooperative effort among different business functions, whilst three PFA views facilitate the integration of different phases of product development.

This study proposes targeted modernization of the Department of Defense (DoD's) Joint Forces Ammunition Logistics information system by implementing the optimized innovative information technology open architecture design and integrating Radio Frequency Identification Device data technologies and real-time optimization and control mechanisms as the critical technology components of the solution. The innovative information technology, which pursues the focused logistics, will be deployed in 36 months at the estimated cost of $568 million in constant dollars. We estimate that the Systems, Applications, Products (SAP)-based enterprise integration solution that the Army currently pursues will cost another $1.5 billion through the year 2014; however, it is unlikely to deliver the intended technical capabilities.

This paper deals with the organizing of interactive product development. Developing products in interaction between firms may provide benefits in terms of specialization, increased innovation, and possibilities to perform development activities in parallel. However, the differentiation of product development among a number of firms also implies that various dependencies need to be dealt with across firm boundaries. How dependencies may be dealt with across firms is related to how product development is organized. The purpose of the paper is to explore dependencies and how interactive product development may be organized with regard to these dependencies.

The analytical framework is based on the industrial network approach, and deals with the development of products in terms of adaptation and combination of heterogeneous resources. There are dependencies between resources, that is, they are embedded, implying that no resource can be developed in isolation. The characteristics of and dependencies related to four main categories of resources (products, production facilities, business units and business relationships) provide a basis for analyzing the organizing of interactive product development.

Three in-depth case studies are used to explore the organizing of interactive product development with regard to dependencies. The first two cases are based on the development of the electrical system and the seats for Volvo’s large car platform (P2), performed in interaction with Delphi and Lear respectively. The third case is based on the interaction between Scania and Dayco/DFC Tech for the development of various pipes and hoses for a new truck model.

The analysis is focused on what different dependencies the firms considered and dealt with, and how product development was organized with regard to these dependencies. It is concluded that there is a complex and dynamic pattern of dependencies that reaches far beyond the developed product as well as beyond individual business units. To deal with these dependencies, development may be organized in teams where several business units are represented. This enables interaction between different business units’ resource collections, which is important for resource adaptation as well as for innovation. The delimiting and relating functions of the team boundary are elaborated upon and it is argued that also teams may be regarded as actors. It is also concluded that a modular product structure may entail a modular organization with regard to the teams, though, interaction between business units and teams is needed. A strong connection between the technical structure and the organizational structure is identified and it is concluded that policies regarding the technical structure (e.g. concerning “carry-over”) cannot be separated from the management of the organizational structure (e.g. the supplier structure). The organizing of product development is in itself a complex and dynamic task that needs to be subject to interaction between business units.

Global megatrends such as urbanization and ageing of the population result in fast-paced demographic changes, which pose different types of challenges for different regions. While many rural municipalities bear the burden of under-used buildings, cities are in a hurry to develop new ones to meet new space demands. The purpose of this paper is to assess the potential of relocatable modular buildings to address these challenges, following the principles of circular economy, while at the same time offering usability.

This multiple case study explores existing relocatable modular health-care buildings in Finland. The case buildings host hospital support functions, imaging services, a health-care centre and a care home. The primary data comprise 21 semi-structured interviews and observation during factory and site visits.

Based on the findings, relocatable modular buildings have many benefits and provide a viable option for cities and municipalities struggling to meet their fluctuating space demands. Some challenges were also identified, mainly derived from the dimensional restrictions of the modules.

This research contributes to the emerging body of knowledge on circular economy in the built environment. More specifically, the research provides a very concrete example of circularity and details a framework for usable and relocatable modular buildings. In conclusion, relocatable modular buildings could solve the challenges posed by quickly changing demographics in different types of regions and deliver both usability and circularity.

This paper aims to present a mass customization model for interior spaces of mass housing projects to provide solutions that will increase flexibility in accordance with different user needs.

The research project develops a model that generates an expert system that leads to different spatial variations. The expert system is based on the parameters that are determined depending on the findings of the field study done in the selected site. A modular system that allows different configurations is designed, and the expert system has made it possible to achieve a large number of spatial variations by means of a multi-parameter layout design. In the last phase, an interface is developed as a website that presents the spatial variations for each different user according to their response to the online questionnaire.

All the variations with the outputs obtained from the project are presented to the user through a digital interface, which functions as a website. In this sense, the model acts as a mass customization tool that brings together the needs of the inhabitants and provides specific solutions to them with all the outputs obtained from the project. The main objective of the interface is to provide the user with various interior layout alternatives and modular furniture that meet their needs.

The main originality of the research project is the development of a model that consists of different stages that works as a unique mass customization tool. The most significant specialty of the model is the constitution of an expert system in relation to the raw data obtained from the field study. This expert system generates spatial configurations by the help of the design parameters, and these parameters are mainly variables that differentiate the solutions according to the specific requirements of users in the selected site.

Modular fixture configuration design is a complicated task requiring both intensive knowledge and experience. Automated or semi‐automated computer‐aided modular fixture systems based on computer‐aided design packages do not appear to have made a significant impact within the manufacturing industry. Modular fixture designers still prefer traditional systems such as paper or physical model; as such models provide a more intuitive interaction and immediate feedback. The objective of the paper is to present an application of the desktop virtual reality (VR) to develop an interactive modular fixture assembly design system.

Desktop‐based friendly interface is designed and the low‐system requirement key techniques, namely assembly modeling and collision detection approach, to make proposed system run smoothly on a desktop PC, are presented.

The paper finds that the proposed system is an efficient tool for modular fixture configuration design.

The proposed system is a portable and affordable solution for modular fixture design.

A low‐cost VR application for modular fixture configuration design is presented.