Monotone increasing multi-valued condensing random operators and random differential inclusions.
Dhage, B.C., Ntouyas, S.K., Palimkar, D.S. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Dhage, B.C., Ntouyas, S.K., Palimkar, D.S. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wasfi Shatanawi, Zead Mustafa (2012)
Matematički Vesnik
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Moore, Chika, Nnanwa, C.P., Ugwu, B.C. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Adly, Samir (1996)
Serdica Mathematical Journal
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The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational inequalities.
Alongkot Suvarnamani, Mongkol Tatong (2012)
Archivum Mathematicum
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We introduce an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal...
Enayet U, Tarafdar, P. Watson, George Xian-Zhi Yuan (1996)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to establish a random coincidence degree theory. This degree theory possesses all the usual properties of the deterministic degree theory such as existence of solutions, excision and Borsuk’s odd mapping theorem. Our degree theory provides a method for proving the existence of random solutions of the equation where is a linear Fredholm mapping of index zero and is a noncompact Carathéodory mapping. Applications to random differential inclusions are also...
Xiao Long Qin, Shin Min Kang, Yong Fu Su, Mei Juan Shang (2009)
Archivum Mathematicum
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In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.