Skip to content

Advertisement

Thematic series on Nonlinear Analysis and Optimization

The 2013 International Conference on Nonlinear Analysis and Optimization (ICNAO2013) was successfully held at National Sun Yat-sen University, Kaohsiung, Taiwan on December 20-22 2013. There were over 80 plenary/invited/contributed talks in various topics of nonlinear analysis, optimization and their applications.

Edited by: Anthony To Ming Lau, Ngai-Ching Wong, Hong-Kun Xu and Jen-Chih Yao

  1. Content type: Research

    We discuss the minimax problems for set-valued mappings with several hierarchical structures, and scalar hierarchical minimax theorems, hierarchical minimax theorems, hierarchical minimax inequalities for set-...

    Authors: Yen-Cherng Lin

    Citation: Journal of Inequalities and Applications 2015 2015:57

    Published on:

  2. Content type: Research

    In this paper, we introduce a new viscosity approximation method by using the shrinking projection algorithm to approximate a common fixed point of a countable family of nonlinear mappings in a Banach space. U...

    Authors: Chin-Tzong Pang, Eskandar Naraghirad and Ching-Feng Wen

    Citation: Journal of Inequalities and Applications 2015 2015:36

    Published on:

  3. Content type: Research

    In this paper, we introduce and analyze a multi-step hybrid steepest-descent extragradient algorithm and multi-step composite Mann-type viscosity iterative algorithm for finding a solution of triple hierarchic...

    Authors: Lu-Chuan Ceng, Yen-Cherng Lin and Ching-Feng Wen

    Citation: Journal of Inequalities and Applications 2015 2015:16

    Published on:

  4. Content type: Research

    We prove a mean ergodic theorem for the implicit midpoint rule for nonexpansivemappings in a Hilbert space. We obtain weak convergence for the general case andstrong convergence for certain special cases.

    Authors: Hong-Kun Xu, Maryam A Alghamdi and Naseer Shahzad

    Citation: Journal of Inequalities and Applications 2015 2015:4

    Published on:

  5. Content type: Research

    In this paper, we introduce and analyze a general iterative algorithm for finding a common solution of a finite family of mixed equilibrium problems, a general system of generalized equilibria and a fixed poin...

    Authors: Hui-Ying Hu, Lu-Chuan Ceng and Yan-Lai Song

    Citation: Journal of Inequalities and Applications 2014 2014:470

    Published on:

  6. Content type: Research

    In this paper, we introduce new implicit and explicit iterative methods for finding a common fixed point set of an infinite family of strict pseudo-contractions by the sunny nonexpansive retractions in a real q-u...

    Authors: Pongsakorn Sunthrayuth and Poom Kumam

    Citation: Journal of Inequalities and Applications 2014 2014:473

    Published on:

  7. Content type: Research

    In this paper, we introduce two iterative algorithms for finding common solutions of a finite family of variational inclusions for maximal monotone and inverse-strongly monotone mappings with the constraints o...

    Authors: Lu-Chuan Ceng, Chi-Ming Chen and Chin-Tzong Pang

    Citation: Journal of Inequalities and Applications 2014 2014:462

    Published on:

  8. Content type: Research

    In this paper, we introduce and analyze a multistep Mann-type extragradient iterative algorithm by combining Korpelevich’s extragradient method, viscosity approximation method, hybrid steepest-descent method, ...

    Authors: Lu-Chuan Ceng, Daya Ram Sahu and Jen-Chih Yao

    Citation: Journal of Inequalities and Applications 2014 2014:460

    Published on:

  9. Content type: Research

    In this paper, we introduce and analyze a multi-step hybrid extragradient algorithm by combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann...

    Authors: Lu-Chuan Ceng, Yeong-Cheng Liou and Ching-Feng Wen

    Citation: Journal of Inequalities and Applications 2014 2014:444

    Published on:

  10. Content type: Research

    In this paper, we prove the existence of solutions for a variational-like inequality and a generalized variational-like inequality in the relaxed η-α pseudomonotone and strictly η-quasimonotone cases in Banach sp...

    Authors: Areerat Arunchai, Somyot Plubtieng and Ching-Feng Wen

    Citation: Journal of Inequalities and Applications 2014 2014:442

    Published on:

  11. Content type: Research

    In this paper, we obtain some fixed point results for generalized weakly contractive mappings with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corres...

    Authors: Arslan Hojat Ansari, Sumit Chandok and Cristiana Ionescu

    Citation: Journal of Inequalities and Applications 2014 2014:429

    Published on:

  12. Content type: Research

    In this paper, we introduce and analyze a relaxed iterative algorithm by virtue of Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, the regularization...

    Authors: Lu-Chuan Ceng, Ching-Feng Wen and Cheng Liou

    Citation: Journal of Inequalities and Applications 2014 2014:414

    Published on:

  13. Content type: Research

    The split common problems for finding the equilibrium points and fixed points have been studied. A parallel superimposed algorithm is introduced to solve this split common problem. Strong convergence theorems ...

    Authors: Li-Jun Zhu, Zhangsong Yao, Yeong-Cheng Liou and Yonghong Yao

    Citation: Journal of Inequalities and Applications 2014 2014:380

    Published on:

  14. Content type: Research

    In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and s...

    Authors: Dae San Kim, Taekyun Kim, Hyuck In Kwon, Toufik Mansour and Jongjin Seo

    Citation: Journal of Inequalities and Applications 2014 2014:324

    Published on:

  15. Content type: Research

    In this paper, we study the split common fixed point problem, which is to find a fixed point of a quasi-pseudocontractive mapping in one space whose image under a linear transformation is a fixed point of anth...

    Authors: Li-Jun Zhu, Yeong-Cheng Liou, Jen-Chih Yao and Yonghong Yao

    Citation: Journal of Inequalities and Applications 2014 2014:304

    Published on: