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Relevant bibliographies by topics / Asymptotically strict pseudocontractive mappings in the intermediate sense

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Academic literature on the topic 'Asymptotically strict pseudocontractive mappings in the intermediate sense'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Asymptotically strict pseudocontractive mappings in the intermediate sense"

1

Sahu, D. R., Hong-Kun Xu, and Jen-Chih Yao. "Asymptotically strict pseudocontractive mappings in the intermediate sense." Nonlinear Analysis: Theory, Methods & Applications 70, no. 10 (2009): 3502–11. http://dx.doi.org/10.1016/j.na.2008.07.007.

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2

Zhao, Jing, and Songnian He. "Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense." Fixed Point Theory and Applications 2010, no. 1 (2010): 281070. http://dx.doi.org/10.1155/2010/281070.

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3

Al-Mazrooei, A. E., A. S. M. Alofi, A. Latif, and J. C. Yao. "Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems." Abstract and Applied Analysis 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/251065.

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We propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings, and the set of common fixed points of infinite nonexpansive mappings and an asymptoticallyκ-strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the proposed iterative algorithms under suitable conditions.

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4

Ceng, Lu-Chuan, Adrian Petruşel, and Jen-Chih Yao. "Iterative Approximation of Fixed Points for Asymptotically Strict Pseudocontractive Type Mappings in the Intermediate Sense." Taiwanese Journal of Mathematics 15, no. 2 (2011): 587–606. http://dx.doi.org/10.11650/twjm/1500406223.

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Ceng, Lu-Chuan, Cheng-Wen Liao, Chin-Tzong Pang, and Ching-Feng Wen. "Convex Minimization with Constraints of Systems of Variational Inequalities, Mixed Equilibrium, Variational Inequality, and Fixed Point Problems." Journal of Applied Mathematics 2014 (2014): 1–28. http://dx.doi.org/10.1155/2014/105928.

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We introduce and analyze one iterative algorithm by hybrid shrinking projection method for finding a solution of the minimization problem for a convex and continuously Fréchet differentiable functional, with constraints of several problems: finitely many generalized mixed equilibrium problems, finitely many variational inequalities, the general system of variational inequalities and the fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove strong convergence theorem for the iterative algorithm under suitable condit

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Ceng, Lu-Chuan, Cheng-Wen Liao, Chin-Tzong Pang, Ching-Feng Wen, and Zhao-Rong Kong. "Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria." Abstract and Applied Analysis 2014 (2014): 1–25. http://dx.doi.org/10.1155/2014/513678.

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We first introduce and analyze one iterative algorithm by using the composite shrinking projection method for finding a solution of the system of generalized equilibria with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inequalities, and the common fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense and infinitely many nonexpansive mappings in a real Hilbert space. We prove a strong convergence theorem for the iterative algorithm under suitable conditions. On the other hand, we also propose an

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7

Ceng, Lu-Chuan, Sy-Ming Guu, and Jen-Chih Yao. "Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense." Journal of Global Optimization 60, no. 4 (2013): 617–34. http://dx.doi.org/10.1007/s10898-013-0087-5.

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Zegeye, H., and N. Shahzad. "Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptoticallyk-Strict Pseudocontractive in the Intermediate Sense." Journal of Applied Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/821737.

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We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptoticallyki-strict pseudocontractive mappings in the intermediate sense fori=1,2,…,N. The projection ofx0onto the intersection of closed convex setsCnandQnfor eachn≥1is not required. Moreover, the restriction that the interior of common fixed points is nonempty is not required. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

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Ceng, Lu-Chuan, and Juei-Ling Ho. "Hybrid Extragradient Method with Regularization for Convex Minimization, Generalized Mixed Equilibrium, Variational Inequality and Fixed Point Problems." Abstract and Applied Analysis 2014 (2014): 1–27. http://dx.doi.org/10.1155/2014/436069.

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We introduce two iterative algorithms by the hybrid extragradient method with regularization for finding a common element of the set of solutions of the minimization problem for a convex and continuously Fréchet differentiable functional, the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inequalities for inverse strong monotone mappings and the set of fixed points of an asymptoticallyκ-strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the prop

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10

Ceng, Lu-Chuan, Qamrul Hasan Ansari, and Ching-Feng Wen. "Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense." Abstract and Applied Analysis 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/854297.

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We first introduce an implicit relaxed method with regularization for finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mappingSin the intermediate sense and the set of solutions of the minimization problem (MP) for a convex and continuously Frechet differentiable functional in the setting of Hilbert spaces. The implicit relaxed method with regularization is based on three well-known methods: the extragradient method, viscosity approximation method, and gradient projection algorithm with regularization. We derive a weak convergence theorem for tw

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Book chapters on the topic "Asymptotically strict pseudocontractive mappings in the intermediate sense"

1

Erli, Wang, Duan Qibin, Wu Dingping, and Zhao Hang. "A Certain Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense Semigroup." In Proceedings of the 2012 International Conference on Communication, Electronics and Automation Engineering. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31698-2_62.

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Conference papers on the topic "Asymptotically strict pseudocontractive mappings in the intermediate sense"

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Dingping, Wu. "Asymptotically kn Strict Pseudocontractive Mappings in the Intermediate Sense." In 2011 International Conference on Business Computing and Global Informatization (BCGIn). IEEE, 2011. http://dx.doi.org/10.1109/bcgin.2011.88.

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