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Recent Advances in Nonlinear Analysis and Optimization

This thematic series is devoted to publish the latest and significant results in nonlinear analysis and optimization. Its goals are to stimulate further research and to highlight recent advances in these fields as well as to promote, encourage, and bring together researchers in the fields of nonlinear analysis and optimization. In the last two decades, the theory of fixed point theory and related topics emerged as a rapidly growing area of research because of its applications in nonlinear analysis, optimization, economics, game theory, etc. In the recent past, many authors devoted their attention to study the fixed point theory and related topics, namely, variational inequalities, optimization and games. Many new results, including theory, methods and applications, have been developed during the recent years. This special issue aims to promote the exchange of ideas between researchers and to spread new trends in these areas.

Edited by: Qamrul Hasan Ansari, Jinlu Li and Jen-Chih Yao

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  1. Content type: Research

    This paper is mainly concerned with the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two const...

    Authors: Rabian Wangkeeree, Thanatporn Bantaojai and Panu Yimmuang

    Citation: Journal of Inequalities and Applications 2016 2016:44

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  2. Content type: Research

    In this paper, we consider the mathematical programs with equilibrium constraints (MPECs) in Banach space. The objective function and functions in the constraint part are assumed to be lower semicontinuous. We...

    Authors: Sy-Ming Guu, Shashi Kant Mishra and Yogendra Pandey

    Citation: Journal of Inequalities and Applications 2016 2016:28

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  3. Content type: Research

    In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth. Here, we do it by way of the modified...

    Authors: Haiyan Yu, Shenzhou Zheng and Yuxia Tong

    Citation: Journal of Inequalities and Applications 2016 2016:20

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  4. Content type: Research

    When multiple followers are involved in a bilevel programming problem, the leader’s decision will be affected by the reactions of these followers. For actual problems, the leader in general cannot obtain compl...

    Authors: Yue Zheng, Zhihui Zhu and Liuyang Yuan

    Citation: Journal of Inequalities and Applications 2016 2016:15

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  5. Content type: Research

    In this paper, we introduce a notion of Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems in terms of weakly efficient solutions. We obtain some metric characteriz...

    Authors: Xian-Jun Long, Zai-Yun Peng and Xiang-Kai Sun

    Citation: Journal of Inequalities and Applications 2016 2016:12

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  6. Content type: Research

    In this paper, we introduce a new iterative algorithm for solving the split equality generalized mixed equilibrium problems. The weak and strong convergence theorems are proved for demi-contractive mappings in...

    Authors: Mijanur Rahaman, Yeong-Cheng Liou, Rais Ahmad and Iqbal Ahmad

    Citation: Journal of Inequalities and Applications 2015 2015:418

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  7. Content type: Research

    An extraordinary split problem, which can be regarded as a superimposition of the split feasibility problem and the split fixed point problem, is considered. A superimposed algorithm is presented. The analysis...

    Authors: Abdelouahed Hamdi, Yeong-Cheng Liou, Yonghong Yao and Chongyang Luo

    Citation: Journal of Inequalities and Applications 2015 2015:385

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  8. Content type: Research

    In this paper, we investigate the existence and uniqueness of a fixed point of certain operators in the setting of complete quasi-b-metric-like spaces via admissible mappings. Our results improve, extend, and uni...

    Authors: Marija Cvetković, Erdal Karapınar and Vladimir Rakocević

    Citation: Journal of Inequalities and Applications 2015 2015:374

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  9. Content type: Research

    In this paper, we consider a class of multiobjective E-convex programming problems with inequality constraints, where the objective and constraint functions are E-convex functions which were firstly introduced by...

    Authors: Guang-Ri Piao, Liguo Jiao and Do Sang Kim

    Citation: Journal of Inequalities and Applications 2015 2015:335

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  10. Content type: Research

    In this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces.

    Authors: Erdal Karapınar, Hamed H Alsulami and Maha Noorwali

    Citation: Journal of Inequalities and Applications 2015 2015:303

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  11. Content type: Research

    We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous ...

    Authors: Mohammed Ali Alghamdi, Naseer Shahzad and Habtu Zegeye

    Citation: Journal of Inequalities and Applications 2015 2015:292

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  12. Content type: Research

    The present paper deals with the common solution method for finding a fixed point of a nonexpansive mapping and a solution of split hierarchical Minty variational inequality problems. We discuss the weak conve...

    Authors: Qamrul Hasan Ansari, Aisha Rehan and Ching-Feng Wen

    Citation: Journal of Inequalities and Applications 2015 2015:274

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  13. Content type: Research

    The purpose of this paper is to introduce the random Picard-Mann hybrid iterative process. We establish the strong convergence theorems and summable almost T-stability of the random Picard-Mann hybrid iterative p...

    Authors: Godwin Amechi Okeke and Jong Kyu Kim

    Citation: Journal of Inequalities and Applications 2015 2015:290

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  14. Content type: Research

    We introduce a Mann-type hybrid steepest-descent iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of general system of varia...

    Authors: Abdul Latif, Abdulaziz SM Alofi, Abdullah E Al-Mazrooei and Jen-Chih Yao

    Citation: Journal of Inequalities and Applications 2015 2015:282

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