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The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.

Ant Colony Optimization and Particle Swarm Optimization represent two widely used Swarm Intelligence (SI) optimization techniques. Information processing using Multiple-Valued Logic (MVL) is carried out using more than two discrete logic levels. In this paper, we compare two the SI-based algorithms in synthesizing MVL functions. A benchmark consisting of 50,000 randomly generated 2-variable 4-valued functions is used for assessing the performance of the algorithms using the benchmark. Simulation results show that the PSO outperforms the ACO technique in terms of the average number of product terms (PTs) needed. We also compare the results obtained using both ACO-MVL and PSO-MVL with those obtained using Espresso-MV logic minimizer. It is shown that on average, both of the SI-based techniques produced better results compared to those produced by Espresso-MV. We show that the SI-based techniques outperform the conventional direct-cover (DC) techniques in terms of the average number of product terms required.

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.

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 main motivation of this paper is to present  the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L²-convergence rate is established.

The authors establish a result concerning the L²-convergence rate of the solution of backward stochastic differential equation with jumps with respect to the Yosida approximation.

The authors carry out a convergence rate of Yosida approximation to the semi-linear backward stochastic differential equation in infinite dimension.

In this paper, the authors present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L²-convergence rate is established.

Literature on eco-innovation brings insights that help to understand which factors trigger innovation focused on sustainability in companies. However, when analyzing the studies that comprise such drivers, it appears that most of them were focused only on describing them in isolation. Therefore, this study aims to understand which are the combinations of drivers that favor the adoption of eco-innovation in slaughterhouses located in the Brazilian state of Rio Grande do Sul.

This study has used the crisp-set qualitative comparative analysis (csQCA) as the data analysis technique, in addition to the previous application of Most Similar Different Outcome/Most Different Same Outcome (MSDO/MDSO).

This study identified eight internal and external drivers that explain the differences in performance of eco-innovative and non-innovative slaughterhouses. These drivers generate 13 combinations of factors capable of favoring the adoption of five types of eco-innovation.

A limitation identified was the difficulty to obtain information held by companies on environmental issues. In addition, in each company the authors only approached one respondent.

The use of combinations is identified by companies and governmental and non-governmental organizations to promote eco-innovation in slaughterhouses.

This study may be considered original for its contribution to the improvement of eco-innovation literature by describing how the drivers identified combine to favor the adoption of certain types of eco-innovation. In addition, the authors also made an original use of csQCA, linked with MSDO/MDSO, in the field of eco-innovation.

This study investigates the implementation of a sustainable circular business model from an accounting perspective. Its goal is to understand if and how decision- makers use management accounting systems, and what changes are needed if these systems are to support the transition toward a circular economy.

Dialogic accounting theory frames the case study of six companies that built a value network to develop and implement an innovative packaging solution consistent with circular economy principles. Content analysis was utilised to investigate the accounting tools used.

The findings indicate that circular solutions generate new organisational configurations based on value networks. Interestingly, managers’ decision-making process largely bypassed the accounting function; they relied on informal accounting and life cycle analysis, which stimulated a multi-stakeholder dialogue in a life cycle perspective.

The research provides theoretical and practical insights into the capability of management accounting systems to support companies seeking circular solutions.

The authors offer implications for accounting practice, chief financial officers (CFOs) and accounting educators, suggesting that a dialogic approach may support value retention of resources, materials and products, as required by the circular economy.

The research contributes to the debate about the role of accounting in sustainability, specifically the need for connecting for resource efficiency at the corporate level with the rationalisation of resource use within planetary boundaries.

The study contributes to the limited research into the role of management accounting in a company’s transition to circular business models. Dialogic accounting theory frames exploration of how accounting may evolve to help businesses become accountable to all stakeholders, including the environment.

This paper aims to clarify the complex path of negative externalities in the sharing economy and proposes corresponding policy recommendations.

This paper aims to establish an analytical framework for the negative externalities of the sharing economy and to extract the main factors that produce negative externalities, and then, through qualitative comparative analysis method find out how these factors interact to form a negative externality.

Negative externalities in the sharing economy come from the joint effect of the sharing degree of the product or service and constraint mechanism, and the current main modes of the shared economy increase the possibility of negative externalities.

The paper proposes a complex path resulting from negative externalities in the shared economy.

In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial metric spaces. Moreover, we provide some examples to analyze and illustrate our main results.

Theoretical method.

We establish some coincidence points and common fixed point results in partial metric spaces.

Results of this study are new and interesting.