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  1. Content type: Research

    In this paper, we propose a new idea to investigate the important basic problem: how to extend Darbos fixed point theorem? We establish some new generalizations of Darbo’s fixed point theorem by using ‘integral ...

    Authors: Longsheng Cai and Jin Liang

    Citation: Fixed Point Theory and Applications 2015 2015:156

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  2. Content type: Research

    The purpose of this paper is to present a new class of probabilistic normed spaces and to study fixed point problems in this class of probabilistic normed spaces. This paper includes the following two contents...

    Authors: Yongchun Xu, Jinyu Guan and Yongfu Su

    Citation: Fixed Point Theory and Applications 2015 2015:155

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  3. Content type: Research

    We use the gauge function introduced by Fang to gain a fixed point result in probabilistic G-metric spaces. Our work extends some existing results. Moreover, our result is supported with an example.

    Authors: Saud M Alsulami, Binayak S Choudhury and Pradyut Das

    Citation: Fixed Point Theory and Applications 2015 2015:151

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  4. Content type: Research

    In this paper the fixed point of multivalued mapping is considered. A generalization of the well-known Nadler contraction principle, the Khan contraction theorem and the fixed point theorem in complete metric ...

    Authors: Mila Stojaković, Ljiljana Gajić, Tatjana Došenović and Biljana Carić

    Citation: Fixed Point Theory and Applications 2015 2015:146

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  5. Content type: Research

    The aim of the paper is to provide, by an approach based on the Mönch fixed point theorem, existence results for the semilinear evolution problem with distributed measures

    ...
    (1)

    Authors: Adrian Petruşel and Bianca Satco

    Citation: Fixed Point Theory and Applications 2015 2015:145

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  6. Content type: Research

    In this paper, we prove strong and weak convergence theorems for a mapping defined on a bounded, closed and convex subset of a uniformly convex Banach space, satisfying the RCSC condition. This condition was i...

    Authors: Dipti Thakur, Balwant Singh Thakur and Mihai Postolache

    Citation: Fixed Point Theory and Applications 2015 2015:144

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  7. Content type: Research

    In this paper, two iteration processes are used to find the solutions of the mathematical programming for the sum of two convex functions. In infinite Hilbert space, we establish two strong convergence theorem...

    Authors: Chih Sheng Chuang, Zenn-Tsun Yu and Lai-Jiu Lin

    Citation: Fixed Point Theory and Applications 2015 2015:143

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  8. Content type: Research

    In this article, we generalize some frequently used metrical notions such as: completeness, continuity, g-continuity, and compatibility to order-theoretic setting especially in ordered metric spaces besides intro...

    Authors: Aftab Alam, Qamrul Haq Khan and Mohammad Imdad

    Citation: Fixed Point Theory and Applications 2015 2015:141

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  9. Content type: Research

    In this work, we give a new definition of G-monotone pointwise contraction mappings in metric spaces endowed with a graph. Then we obtain sufficient conditions for the existence of a fixed point for such mappings...

    Authors: Monther Rashed Alfuraidan

    Citation: Fixed Point Theory and Applications 2015 2015:139

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  10. Content type: Research

    In this paper, we propose two descent alternating direction methods based on a logarithmic-quadratic proximal method for structured variational inequalities. The first method can be viewed as an extension of t...

    Authors: Abdellah Bnouhachem, Suliman Al-Homidan and Qamrul Hasan Ansari

    Citation: Fixed Point Theory and Applications 2015 2015:137

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  11. Content type: Research

    In this paper, first we introduce certain new classes of Suzuki type contractions in triangular and non-Archimedean fuzzy metric spaces. Further we establish fixed point theorems for such kind of mappings in n...

    Authors: Nawab Hussain, Masoomeh Hezarjaribi and Peyman Salimi

    Citation: Fixed Point Theory and Applications 2015 2015:134

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  12. Content type: Research

    In this paper, we generalize the algebraic sum ⊕ of Fang. Based on this concept, we prove some common fixed point theorems for three pairs of self-mappings satisfying the common ...

    Authors: Chuanxi Zhu, Qiang Tu and Zhaoqi Wu

    Citation: Fixed Point Theory and Applications 2015 2015:131

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  13. Content type: Research

    In this paper, we introduce the concepts of weak g-graph-preserving for multi-valued mappings and weak G-contractions in a metric space endowed with a directed graph. We establish the coincidence point theorems f...

    Authors: Chalongchai Klanarong and Suthep Suantai

    Citation: Fixed Point Theory and Applications 2015 2015:129

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  14. Content type: Research

    In this paper, a semi-local convergence analysis of the Gauss-Newton method for convex composite optimization is presented using the concept of quasi-regularity in order to approximate fixed points in optimiza...

    Authors: Ioannis K Argyros, Yeol Je Cho and Saïd Hilout

    Citation: Fixed Point Theory and Applications 2015 2015:128

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  15. Content type: Research

    The split common fixed point problem for two quasi-pseudo-contractive operators is studied. Some properties for quasi-pseudo-contractive operators are presented. An iterative algorithm for solving the split co...

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

    Citation: Fixed Point Theory and Applications 2015 2015:127

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  16. Content type: Research

    In this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, ...

    Authors: Erdal Karapınar, Marwan A Kutbi, Hossein Piri and Donal O’Regan

    Citation: Fixed Point Theory and Applications 2015 2015:126

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  17. Content type: Research

    After the appearance of Nieto and Rodríguez-López’s theorem, the branch of fixed point theory devoted to the setting of partially ordered metric spaces have attracted much attention in the last years, especial...

    Authors: Naseer Shahzad, Erdal Karapınar and Antonio-Francisco Roldán-López-de-Hierro

    Citation: Fixed Point Theory and Applications 2015 2015:124

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  18. Content type: Research

    In this work, some fixed point and common fixed point theorems are investigated in b-metric-like spaces. Some of our results generalize related results in the literature. Also, some examples and an application to...

    Authors: Chunfang Chen, Jian Dong and Chuanxi Zhu

    Citation: Fixed Point Theory and Applications 2015 2015:122

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  19. Content type: Research

    In the present paper, we propose three kinds of new algorithms for a finite family of quasi-asymptotically pseudocontractive mappings in real Hilbert spaces. By using some new analysis techniques, we prove the...

    Authors: Yuanxing Liu, Liguo Zheng, Peiyuan Wang and Haiyun Zhou

    Citation: Fixed Point Theory and Applications 2015 2015:118

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  20. Content type: Research

    In this paper, we introduce a new mapping in a real Hilbert space to prove a strong convergence theorem for finding a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictl...

    Authors: Yifen Ke and Changfeng Ma

    Citation: Fixed Point Theory and Applications 2015 2015:116

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  21. Content type: Research

    This paper aims to deal with an iterative algorithm for hierarchical fixed point problems for a finite family of nonexpansive mappings in the setting of real Hilbert spaces. We establish the strong convergence...

    Authors: Abdellah Bnouhachem, Qamrul Hasan Ansari and Jen-Chih Yao

    Citation: Fixed Point Theory and Applications 2015 2015:111

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  22. Content type: Research

    In this article we use the generalized Gossez-Lami Dozo property and the Opial condition to study the fixed point property for left reversible semigroups in separable Banach spaces. As a consequence, some prev...

    Authors: Francisco E Castillo-Santos and Maria A Japón

    Citation: Fixed Point Theory and Applications 2015 2015:109

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