Abstract: Let f be a permutation from onto . Let x and consider a (finite or infinite) sequence s = (x, f(x), f2(x),•••). We call s a permutation sequence. Let D be the set of elements of s. If D is a finite set then the sequence s is a cycle, and if D is an infinite set the sequence s is a divergent trajectory. We derive theoretical and computational bounds for cycles and divergent trajectories for a defined class of permutations. This class contains generalizations of the original Collatz permutation f(2n) = 3n, f(4n + 1) = 3n + 1, f(4n + 3) = 3n + 2 and is based on a generalization of the covering system of congruences of Erdös. For the derivation of theoretical cycle bounds from transcendental number theory we adjust the cycle concept and the approach of Simons and de Weger for the 3x + 1 problem. For the derivation of computational cycle bounds we use continued fraction approximation methods. For a defined subclass the existence of divergent trajectories is proved.Abstract: Let f be a permutation from onto . Let x and consider a (finite or infinite) sequence s = (x, f(x), f2(x),•••). We call s a permutation sequence. Let D be the set of elements of s. If D is a finite set then the sequence s is a cycle, and if D is an infinite set the sequence s is a divergent trajectory. We derive theoretical and computational bou...Show More
Enock Mintah Ampaw,Albert Adu-Sackey,Stephen Eduafo,Olivia Osei-Tutu,Nborlem Mark Nte-Adik
Issue:
Volume 8, Issue 5, October 2022
Pages:
96-111
Received:
22 September 2022
Accepted:
24 October 2022
Published:
4 November 2022
DOI:
10.11648/j.ijtam.20220805.12
Downloads:
Views:
Abstract: The present study aims at exploring the antecedents of customers’ behavioral intention in the mobile money service industry to enhance industry players’ competitive edge and financial inclusion value co-creation in Ghana. A total of four hundred and seventeen (417) respondents were contacted via social media platforms for the study. AMOS graphics and IBM SPSS were used to analyzed the data. The findings of the study reveal that perceived quality and security are the most significant precursors of mobile money subscribers’ satisfaction and loyalty drive. Satisfaction was also observed to have a significant positive effect on both brand equity and brand trust. The study further reveals that satisfaction mediate between perceived quality and security to positively impact subscribers’ loyalty. Studies exploring subscribers’ behavioral intentions towards mobile money service providers to the best of our knowledge still remains a major gap in extant literature. Thus, the present study extends knowledge on mobile money services and financial inclusion in general by providing a schema for mobile money service providers to tailor their services to meet the expectations of subscribers whiles enhancing their competitive edge.Abstract: The present study aims at exploring the antecedents of customers’ behavioral intention in the mobile money service industry to enhance industry players’ competitive edge and financial inclusion value co-creation in Ghana. A total of four hundred and seventeen (417) respondents were contacted via social media platforms for the study. AMOS graphics a...Show More