NDLI: Convergence of Iterative Algorithms to Common Random Fixed Points of Random Operators

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Convergence of Iterative Algorithms to Common Random Fixed Points of Random Operators

Content Provider	Semantic Scholar
Author	Abbas, Mujahid
Copyright Year	2006
Abstract	Random nonlinear analysis is an important mathematical discipline which is mainly concerned with the study of random nonlinear operators and their properties and is needed for the study of various classes of random equations. The study of random fixed point theory was initiated by the Prague school of probabilists in the 1950s [15, 16, 31]. Common random fixed point theorems are stochastic generalization of classical common fixed point theorems. The machinery of random fixed point theory provides a convenient way of modelling many problems arising from economic theory, see for example [27] and references mentioned therein. Random methods have revolutionized the financial markets. The survey article by Bharucha-Reid [10] attracted the attention of several mathematicians and gave wings to this theory. Itoh [18] extended Spacek’s and Hans’s theorem to multivalued contraction mappings. Now this theory has become the full fledged research area and various ideas associated with random fixed point theory are used to obtain the solution of nonlinear random system (see [6, 7, 9, 17, 29]). Papageorgiou [25, 26], Beg [4, 5] studied common random fixed points and random coincidence points of a pair of compatible random operators and proved fixed point theorems for contractive random operators in Polish spaces. Recently, Beg and Shahzad [8], Choudhury [11], and Badshah and Sayyed [3] used different iteration processes to obtain common random fixed points. The aim of this paper is to find common random fixed points of two asymptotically
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.maths.tcd.ie/EMIS/journals/HOA/JAMSA/Volume2006/89213.pdf
Alternate Webpage(s)	http://mat.ub.edu/EMIS/journals/HOA/JAMSA/Volume2006/89213.pdf
Language	English
Access Restriction	Open
Subject Keyword	Algorithm Class Fixed point (mathematics) Fixed-Point Number Fixed-point theorem Generalization (Psychology) Iteration Mathematics Nonlinear system Random graph Stochastic process
Content Type	Text
Resource Type	Article

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