Double Controlled Partial Metric Type Spaces and Convergence Results

In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces. Secondly, our aim is to study the existence of fixed points for Kannan type contractions in the context of double controlled partial metric type spaces. The proposed results enrich, theorize, and sharpen a multitude of pioneer results in the context of metric fixed point theory. Additionally, we provide numerical examples to illustrate the essence of our obtained theoretical results.

Organizational Practices for the Aging Workforce: Validation of an English Version of the Later Life Workplace Index

Due to aging workforces, research on organizational practices for older employees becomes more important for individuals and organizations. However, existing measures for such organizational practices tend to capture the construct with unidimensional scales, use single-item operationalizations, or focus on a specific area. Hence, Wöhrmann, Deller, and Pundt (2018) developed the Later Life Workplace Index (LLWI) to provide a multidimensional framework to measure organizational practices for older employees on nine dimensions, namely organizational climate, leadership, work design, health management, individual development, knowledge management, transition to retirement, continued employment after retirement, and health and retirement coverage. The LLWI has recently been operationalized and validated in Germany (Wilckens, Wöhrmann, Deller, & Wang, 2020). However, to utilize the index beyond German-speaking countries, a validated English version is required. Thus, we aimed to validate an English version of the LLWI using a sample of older U.S. employees (N = 279). Results support the domain level factor structure of the LLWI but show some redundancy among the 80 items for the overall nine domain factor structure. A comparison between the U.S. sample and a German sample (N = 349) confirmed configural and (partial) metric measurement invariance of the English version. Results further supported convergent, discriminant, criterion, as well as incremental validity. Researchers can utilize the new measure to gain a deeper understanding of organizational practices relevant for older employees, while practitioners are able to assess their organizational readiness for an aging workforce. We envision further translation and validation in other languages and cultural contexts.

Some variants of Wardowski fixed point theorem

The purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results.

Measurement Invariance of Perfectionism Measures in Students with and without a History of Non-Suicidal Self-Injury

Perfectionism is a transdiagnostic process which may be implicated in the onset and maintenance of non-suicidal self-injury. No study has evaluated whether reported differences in perfectionism between individuals with and without a history of self-injury represent genuine group differences or measurement artefacts. The present study reports an investigation of the measurement invariance of two common scales of perfectionism, the Frost Multidimensional Perfectionism Scale-Brief (FMPS-Brief) and the Clinical Perfectionism Questionnaire (CPQ), among university students (Mage = 20.48, SDage = 2.22, 75.3% female, 22.8% male) with and without a history of self-injury (total n = 711). Results revealed full residual error invariance for the two-factor model of FMPS-Brief, while the bifactor model of the FMPS-Brief and the two-factor model of the CPQ demonstrated partial metric invariance. Accounting for partial metric invariance, the bifactor model of the FMPS-Brief also demonstrated partial residual error invariance. The current findings suggest that observed differences using the FMPS-Brief reflect genuine differences in perfectionism between individuals with and without a history of self-injury. Further, while researchers using the bi-factor model can have confidence that the general factor can adequately assess group differences, differential item functioning should be considered if using the strivings and concerns factors. Finally, in the current data, the CPQ did not perform as expected in baseline model fit and future research should replicate assessments of measurement invariance in this measure.

A study of common fixed points that belong to zeros of a certain given function with applications

In this paper, we establish some point of φ-coincidence and common φ-fixed point results for two self-mappings defined on a metric space via extended CG-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.

Factorial Structure of the Transactional eHealth Literacy Among Vietnamese Youth: An Instrument Validation Study

The progression into the Digital Age has brought an array of novel skill requirements. Unlike traditional literacy, there are currently few measures that can reliably measure eHealth literacy. The Transactional Model of eHealth Literacy and subsequent Transactional eHealth Literacy Instrument may provide a feasible option for measuring eHealth literacy. However, this instrument has yet to be validated, which is the aim of this study. We conducted an online cross-sectional study among 236 Vietnamese young people. Using exploratory factor analysis, we ensured that a model consisting of four factors had the best fit (RMSEA = 0.116; CFI = 0.907) and the highest internal consistency (Cronbach alpha = 0.96). A confirmatory factor analysis tested measurement invariance at four levels: configural, metric, scalar, and strict invariance. Only metric invariance was partially invariant, while the rest tested fully invariant. Even with partial metric invariance, there is reason to assume that functional, communicative, critical, and translational eHealth literacy (the four levels according to the transactional model) are consistently measured when deploying the Transactional eHealth Literacy Instrument across groups. In other words, this study suggests the instrument can be used for comparisons across groups and has the potential to generate high-quality data usable for informing change agents as to whether a particular population is proficient enough to adopt novel eHealth innovations.