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  1. In this paper, we prove some existence theorems of fixed points of a monotone nonexpansive mapping T in a Banach space E with the partial order ‘≤’, where a such mapping may be discontinuous. In particular, in fi...

    Authors: Yisheng Song, Poom Kumam and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2016 2016:73

    Content type: Research

    Published on:

  2. In this paper, we introduce the new notion of generalized α-ϕ-Geraghty proximal contraction mappings and investigate the existence of the best proximity point for such mappings in complete metric spaces. The obta...

    Authors: Javad Hamzehnejadi and Rahmatollah Lashkaripour

    Citation: Fixed Point Theory and Applications 2016 2016:72

    Content type: Research

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  3. This paper provides new common fixed point theorems for pairs of multivalued and single-valued mappings operating between ordered Banach spaces. Our results lead to new existence theorems for a system of integ...

    Authors: Nawab Hussain and Mohamed-Aziz Taoudi

    Citation: Fixed Point Theory and Applications 2016 2016:65

    Content type: Research

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  4. Boyd and Wong in their celebrated paper ‘On nonlinear contractions’ assumed the comparison function to be upper semicontinuous from the right. Our requirement presented in this paper is much more general and i...

    Authors: Lech Pasicki

    Citation: Fixed Point Theory and Applications 2016 2016:63

    Content type: Research

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  5. Very recently, Hussain et al. (Fixed Point Theory Appl. 2015:185, 2015) introduced the concept of JS-contraction and established some fixed point theorems for such contractions. In this paper, we introduce a new ...

    Authors: Shujun Jiang, Zhilong Li and Boško Damjanović

    Citation: Fixed Point Theory and Applications 2016 2016:62

    Content type: Review

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  6. In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to s...

    Authors: Mujahid Abbas, Abdul Latif and Yusuf I Suleiman

    Citation: Fixed Point Theory and Applications 2016 2016:61

    Content type: Research

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  7. This paper aims to study the strong convergence of generalized modified Krasnoselskii iterative process for finding the minimum norm solutions of certain nonlinear equations with generalized strictly pseudocon...

    Authors: Ali Mohamed Saddeek

    Citation: Fixed Point Theory and Applications 2016 2016:60

    Content type: Research

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  8. The aim of this work is to introduce some new notions of generalized convex contraction mappings and establish some approximate fixed point theorems for such mappings in the setting of complete metric spaces. ...

    Authors: Abdul Latif, Aphinat Ninsri and Wutiphol Sintunavarat

    Citation: Fixed Point Theory and Applications 2016 2016:58

    Content type: Research

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  9. Very recently, Roldán-López-de-Hierro and Shahzad introduced the notion of R-contractions as an extension of several notions given by different researchers (for instance, R-contractions generalize Meir-Keeler con...

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

    Citation: Fixed Point Theory and Applications 2016 2016:55

    Content type: Research

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  10. Many problems arising in image processing and signal recovery with multi-regularization and constraints can be formulated as minimization of a sum of three convex separable functions. Typically, the objective ...

    Authors: Peijun Chen, Jianguo Huang and Xiaoqun Zhang

    Citation: Fixed Point Theory and Applications 2016 2016:54

    Content type: Research

    Published on:

  11. The paper concerns our sustained efforts for introduction of V-fuzzy metric spaces and to study their basic topological properties. As an application of this concept, we prove coupled common fixed point theorems ...

    Authors: Vishal Gupta and Ashima Kanwar

    Citation: Fixed Point Theory and Applications 2016 2016:51

    Content type: Research

    Published on:

  12. In this paper, the notion of generalized probabilistic G-contractions in Menger probabilistic metric spaces endowed with a directed graph G is introduced and some new fixed point theorems for such mappings are es...

    Authors: Seong-Hoon Cho

    Citation: Fixed Point Theory and Applications 2016 2016:50

    Content type: Research

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  13. In this paper, we obtain some Suzuki-type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone. Our results unify and generalize various known comparable results in the...

    Authors: Wenqing Xu, Chuanxi Zhu and Chunfang Chen

    Citation: Fixed Point Theory and Applications 2016 2016:47

    Content type: Research

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  14. We show that the result on cyclic weak contractions of Harjani et al. (J. Nonlinear Sci. Appl. 6:279-284, 2013) holds without the assumption of compactness of the underlying space, and also without the assumption...

    Authors: Zoran Kadelburg, Stojan Radenović and Jelena Vujaković

    Citation: Fixed Point Theory and Applications 2016 2016:46

    Content type: Research

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  15. In this paper, we state and prove Wardowski type fixed point theorems in metric space by using a modified generalized F-contraction maps. These theorems extend other well-known fundamental metrical fixed point th...

    Authors: Hossein Piri and Poom Kumam

    Citation: Fixed Point Theory and Applications 2016 2016:45

    Content type: Research

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  16. We give a new proof of a theorem of Hubbard and Oberste-Vorth (Real and Complex Dynamical Systems, pp. 89-132, 1995) for Hénon maps that are perturbations of a hyperbolic polynomial and obtain the Julia set

    Authors: Remus Radu and Raluca Tanase

    Citation: Fixed Point Theory and Applications 2016 2016:43

    Content type: Research

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  17. The main purpose of this article is to establish relation-theoretic metrical fixed point theorems via an implicit contractive condition which is general enough to yield a multitude of corollaries corresponding...

    Authors: Md Ahmadullah, Javid Ali and Mohammad Imdad

    Citation: Fixed Point Theory and Applications 2016 2016:42

    Content type: Research

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  18. In this paper we consider a class of bilevel variational inequalities with hierarchical nesting structure. We first of all get the existence of a solution for this problem by using the Himmelberg fixed point t...

    Authors: Gaoxi Li, Zhongping Wan, Jia-wei Chen and Xiaoke Zhao

    Citation: Fixed Point Theory and Applications 2016 2016:41

    Content type: Research

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  19. In this paper, we introduce the concept of JS-quasi-contraction and prove some fixed point results for JS-quasi-contractions in complete metric spaces under the assumption that the involving function is nondec...

    Authors: Zhilong Li and Shujun Jiang

    Citation: Fixed Point Theory and Applications 2016 2016:40

    Content type: Research

    Published on:

  20. Motivated by Gopal et al. (Acta Math. Sci. 36B(3):1-14, 2016). We introduce the notion of α-type F-contraction in the setting of modular metric spaces which is independent from one given in (Hussain et al. in Fix...

    Authors: Anantachai Padcharoen, Dhananjay Gopal, Parin Chaipunya and Poom Kumam

    Citation: Fixed Point Theory and Applications 2016 2016:39

    Content type: Research

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  21. In this paper, using the concept of w-distances, and we prove existence theorems for single-valued mappings and set-valued mappings in a complete metric space which generalize Takahashi, Wong, and Yao’s theorems.

    Authors: Soh Kaneko, Wataru Takahashi, Ching-Feng Wen and Jen-Chih Yao

    Citation: Fixed Point Theory and Applications 2016 2016:38

    Content type: Research

    Published on:

  22. In this paper, we introduce and study iterative schemes for solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces and prove that the modified Mann ...

    Authors: Suthep Suantai, Prasit Cholamjiak, Yeol Je Cho and Watcharaporn Cholamjiak

    Citation: Fixed Point Theory and Applications 2016 2016:35

    Content type: Research

    Published on:

  23. In this paper, we study an interesting generalization of standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces due to the recent work of Jleli and Samet. Here we modify the result ...

    Authors: Tanusri Senapati, Lakshmi Kanta Dey and Diana Dolićanin-Ðekić

    Citation: Fixed Point Theory and Applications 2016 2016:33

    Content type: Research

    Published on:

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