Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings.
Zeng, Lu-Chuan, Ansari, Q.H., Al-Homidan, S. (2011)
Fixed Point Theory and Applications [electronic only]
Kopecká, Eva, Reich, Simeon (2006)
Fixed Point Theory and Applications [electronic only]
Agarwal, Ravi P., O'Regan, Donal (2002)
Georgian Mathematical Journal
M. Landsberg, G. Pech (1977)
Journal für die reine und angewandte Mathematik
Darwish, Mohamed Abdalla (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Pavel Krejčí (1991)
Applications of Mathematics
The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general...
Pavel Krejčí, Jürgen Sprekels (1998)
Applications of Mathematics
Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors have recently proposed a new approach to phase-field models which is based on the mathematical theory...
Banks, H.T., Kurdila, A.J., Webb, G. (1997)
Mathematical Problems in Engineering
Gu, Feng (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Nguyen Buong (2009)
Matematički Vesnik
Filippo Cammaroto, Paolo Cubiotti (1997)
Commentationes Mathematicae Universitatis Carolinae
We consider the integral equation , with , and prove an existence theorem for bounded solutions where is not assumed to be continuous.
Kim, Tae-Hwa, Kim, Kui-Yeon (2010)
Journal of Inequalities and Applications [electronic only]
Tian, You Xian, Chang, Shih-Sen, Huang, Jialin, Wang, Xiongrui, Kim, J.K. (2008)
Fixed Point Theory and Applications [electronic only]
Plubtieng, Somyot, Punpaeng, Rattanaporn (2005)
International Journal of Mathematics and Mathematical Sciences
Ceng, L.C., Wong, N.C., Yao, J.C. (2006)
Journal of Inequalities and Applications [electronic only]
Alimohammady, M., Roohi, M. (2008)
The Journal of Nonlinear Sciences and its Applications
Guo, Dajun (1992)
Journal of Applied Mathematics and Stochastic Analysis
Simon Fitzpatrick, Bruce Calvert (1985)
Mathematische Zeitschrift
El Mufti, Karim (1995)
Portugaliae Mathematica
Prasit Cholamjiak, Yekini Shehu (2019)
Applications of Mathematics
We propose a Halpern-type forward-backward splitting with inertial extrapolation step for finding a zero of the sum of accretive operators in Banach spaces. Strong convergence of the sequence of iterates generated by the method proposed is obtained under mild assumptions. We give some numerical results in compressed sensing to validate the theoretical analysis results. Our result is one of the few available inertial-type methods for zeros of the sum of accretive operators in Banach spaces.