Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on -maximal monotonicity frameworks.
Verma, Ram U. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Verma, Ram U. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Moudafi, A. (2000)
Serdica Mathematical Journal
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Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.
Verma, Ram U. (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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...
Khan, Safeer Hussain (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Cheng, Sui Sun, Zhang, Guang (1998)
Georgian Mathematical Journal
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Qin, Xiaolong, Kang, Shin Min (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Dimitrios A. Kandilakis (1997)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.