In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods  by combining the resolvent method with Halpern's iterative method and viscosity approximation method for  finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations  in ...

In many economic contexts, an elusive variable of interest is the agent’s belief about relevant events, e.g. about other agents’ behavior. A growing number of surveys and experiments ask participants to state beliefs explicitly but little is known about the causal relation between beliefs and other behavioral variables. This paper discusses the possibility of creating exogenous instrumental var...

In [14], we studied the computational behaviour of various first-order and modal languages interpreted in metric or weaker distance spaces. [13] gave an axiomatisation of an expressive and decidable metric logic. The main result of this paper is in showing that the technique of representing metric spaces by means of Kripke frames can be extended to cover the modal (hybrid) language that is expr...

in statistical inference, the point estimation problem is very crucial and has a wide range of applications. when, we deal with some concepts such as random variables, the parameters of interest and estimates may be reported/observed as imprecise. therefore, the theory of fuzzy sets plays an important role in formulating such situations. in this paper, we rst recall the crisp uniformly minimum ...

This part of the paper introduLces some possible implementations of Self-Scaling Variable Metric algorithms based oIn the theory presented in Part I. These implementations are analyzed theoretically aind discussed qualitatively. A special class of SSVM algorithms is introduced, which has the additional property of being invariant under scaliing of the objective function or of the variables. Exp...

in a robust parameter design (rpd) problem, the experimenter is interested to determine the values of con-trol factors such that responses will be robust or insensitive to variability of the noise factors. response sur-face methodology (rsm) is one of the effective methods that can be employed for this purpose. since quality of products or processes is usually evaluated through several quality ...

The aim of this paper, we use Stein’s method and the w-function associated with the Yule random variable to obtain a non-uniform bound for the point metric of the Yule and geometric distributions. Three numerical examples are provided to illustrate the obtained result. AMS Subject Classification: 62E17, 60F05

An abstract convergence theorem for a class of descent method that explicitly models relative errors is proved. The convergence theorem generalizes and unifies several recent abstract convergence theorems, and is applicable to possibly non-smooth and non-convex lower semi-continuous functions that satisfy the Kurdyka– Lojasiewicz inequality, which comprises a huge class of problems. The descent...