In this paper, Picard–S hybrid iterative process is defined, which is a hybrid of Picard and S-iterative process. This new iteration converges faster than all of Picard…
Abstract
Purpose
In this paper, Picard–S hybrid iterative process is defined, which is a hybrid of Picard and S-iterative process. This new iteration converges faster than all of Picard, Krasnoselskii, Mann, Ishikawa, S-iteration, Picard–Mann hybrid, Picard–Krasnoselskii hybrid and Picard–Ishikawa hybrid iterative processes for contraction mappings and to find the solution of delay differential equation, using this hybrid iteration also proved some results for Picard–S hybrid iterative process for nonexpansive mappings.
Design/methodology/approach
This new iteration converges faster than all of Picard, Krasnoselskii, Mann, Ishikawa, S-iteration, Picard–Mann hybrid, Picard–Krasnoselskii hybrid, Picard–Ishikawa hybrid iterative processes for contraction mappings.
Findings
Showed the fastest convergence of this new iteration and then other iteration defined in this paper. The author finds the solution of delay differential equation using this hybrid iteration. For new iteration, the author also proved a theorem for nonexpansive mapping.
Originality/value
This new iteration converges faster than all of Picard, Krasnoselskii, Mann, Ishikawa, S-iteration, Picard–Mann hybrid, Picard–Krasnoselskii hybrid, Picard–Ishikawa hybrid iterative processes for contraction mappings and to find the solution of delay differential equation, using this hybrid iteration also proved some results for Picard–S hybrid iterative process for nonexpansive mappings.
Details
Keywords
Mateus Canniatti Ponchio, Mayank Jyotsna Soni, Mousumi Singha Mahapatra and Soumya Sarkar
This study aims to evaluate Netemeyer and colleagues' much cited financial well-being scale in Brazil and India and compare responses from different demographics. It also compares…
Abstract
Purpose
This study aims to evaluate Netemeyer and colleagues' much cited financial well-being scale in Brazil and India and compare responses from different demographics. It also compares the results using two analysis techniques, item response theory (IRT) and confirmatory factor analysis (CFA).
Design/methodology/approach
A total of 994 survey responses from Brazil and 1,081 from India were collected. IRT and CFA models were used to analyse the data.
Findings
The results demonstrate the two-dimensional structure of the financial well-being scale and show that different items are differentially useful in measuring the construct across different groups. These findings may support the scale's future refinement and use in applied studies that will target specific groups (e.g. males, females, younger respondents and older respondents).
Research limitations/implications
This study serves as an example to others who can explore the advantages of IRT over classical test theory methods to assess the psychometric properties of scales aimed at measuring latent constructs of interest in the field of marketing.
Practical implications
The correct diagnosis of financial well-being is important to guide interventions by governments and non-governmental entities, as well as by financial institutions interested in better understanding individuals.
Originality/value
The authors show how the identification of the characteristics of scale items provided by the IRT technique allows for a better understanding of its properties and how it can be improved.