We analyze a number of techniques for pricing American options under a regime switching stochastic process. The techniques analyzed include both explicit and implicit discretizations with the focus being on methods which are unconditionally stable. In the case of implicit methods we also compare a number of iterative procedures for solving the associated nonlinear algebraic equations. Numerical...

The purpose of this paper is to study the convergence problem of implicit iteration process for a finite family of nonexpansive mappings in Banach spaces. The results presented in this paper not only generalize some recent results but also give an affirmative answer to the open question suggested by Xu and Ori [11].

Asynchronous events sequences are widely distributed in the natural world and human activities, such as earthquakes records, users’ activities social media, so on. How to distill information from these seemingly disorganized data is a persistent topic that researchers focus One of most useful models point process model, on basis, obtain many noticeable results. Moreover, recent years, foundatio...

The purpose of this paper is to study the weak and strong convergence theorems of the implicit iteration process for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces. The results presented in this paper extend and improve some recent results announced by some authors.

The purpose of this paper is to study the weak and strong convergence of an new implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve important known results in [1], [2], [4]–[9], [11]–[15] and others.

This study is aimed at answering the famous question of how the approximation errors at each iteration of Approximate Dynamic Programming (ADP) affect the quality of the final results considering the fact that errors at each iteration affect the next iteration. To this goal, convergence of Value Iteration scheme of ADP for deterministic nonlinear optimal control problems with undiscounted cost ...

In this paper, we consider the weak and strong convergence of implicit iteration process to a common fixed point of a finite family of nonself Ii-asymptotically quasi-nonexpansive mappings. Our results of this paper improve and extend the corresponding results of Shazad [8], Temir [5] and Gul [J. Math. Anal. Appl. 329(2007), 759-765]. Mathematics Subject Classification: 47H09, 47J25

Three nontrivial problems of Thai morphological processing are word boundary ambiguity, tagging ambiguity and implicit spelling errors. These problems cause a lot of difficulty to the parser due to the alternative or erroneous chain of word. This work attempts to provide a computational solution, called Word Filtering, to those linguistic phenomena. The filtering process calculates the probabil...