Random fixed point equations and inverse problems using “collage method” for contraction mappings

Inverse problems for random differential equations using the collage method for random contraction mappings

In this paper we are concerned with differential equations with random coefficients will be considered as random fixed point equations of the form T (ω, x(ω)) = x(ω), ω ∈ Ω. Here T : Ω×X → X is a random integral operator, (Ω,F , P ) is a probability space and X is a complete metric space. We consider the following inverse problem for such equations: Given a set of realizations of the fixed poin...

Parameter identification for deterministic and stochastic differential equations using the “collage method” for fixed point equations

Random fixed point of Meir-Keeler contraction mappings and its application

In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation.

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Fixed Point Stability for - - Contraction Mappings

Banach initiated the study of fixed points through iterative sequences, which appeared as a base for metric fixed point theory. Many authors continue this pattern of finding fixed points, see for eaxmple [1]-[29]. Samet . al et [1] introduced the ideas of  - -contractive and  -admissible mappings and got fixed points of the mappings through iterative sequence satisfying these ideas on comple...