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  1. 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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  2. 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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  3. 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

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  4. 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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  5. 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

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  6. 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

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  7. 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

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  8. In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings...

    Authors: Mahpeyker Öztürk, Mujahid Abbas and Ekber Girgin

    Citation: Fixed Point Theory and Applications 2016 2016:19

    Content type: Research

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  9. The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft...

    Authors: Mujahid Abbas, Ghulam Murtaza and Salvador Romaguera

    Citation: Fixed Point Theory and Applications 2016 2016:17

    Content type: Research

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  10. In this work, partial answers to Reich, Mizoguchi and Takahashi’s and Amini-Harandi’s conjectures are presented via a light version of Caristi’s fixed point theorem. Moreover, we introduce the idea that many o...

    Authors: Farshid Khojasteh, Erdal Karapinar and Hassan Khandani

    Citation: Fixed Point Theory and Applications 2016 2016:16

    Content type: Research

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  11. In this paper, we introduce the new classes of Hardy-Rogers type cyclic contractions and prove pertinent fixed point theorems for these Hardy-Rogers type contractions in the generating space of a b-dislocated met...

    Authors: Panda Sumati Kumari and Dinesh Panthi

    Citation: Fixed Point Theory and Applications 2016 2016:15

    Content type: Research

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  12. The aim of the paper is to introduce new Suzuki and convex type contractions and prove new best proximity results for these contractions in the setting of a metric space. As applications, we deduce similar res...

    Authors: Nawab Hussain, Masoomeh Hezarjaribi, MA Kutbi and Peyman Salimi

    Citation: Fixed Point Theory and Applications 2016 2016:14

    Content type: Research

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  13. We first present the concepts of proximal contraction and proximal nonexpansive mappings on star-shaped sets in probabilistic Banach (Menger) spaces. We derive some results about the best proximity points for ...

    Authors: Hamid Shayanpour, Maryam Shams and Asiyeh Nematizadeh

    Citation: Fixed Point Theory and Applications 2016 2016:13

    Content type: Research

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  14. In this paper, some generalizations of Darbo’s fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results.

    Authors: Mohamed Jleli, Erdal Karapinar, Donal O’Regan and Bessem Samet

    Citation: Fixed Point Theory and Applications 2016 2016:11

    Content type: Research

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  15. The purpose of this paper is to introduce the notions of Θ-type contractions and Θ-type Suzuki contractions and to establish some new fixed point theorems for these two kinds of mappings in the setting of comp...

    Authors: Xin-dong Liu, Shih-sen Chang, Yun Xiao and Liang Cai Zhao

    Citation: Fixed Point Theory and Applications 2016 2016:8

    Content type: Research

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  16. A new three-step iterative algorithm for approximating the zero point of the sum of an infinite family of m-accretive mappings and an infinite family of http://static-content.springer.com/image/art%3A10.1186%2Fs13663-015-0495-y/13663_2015_495_Article_IEq2.gif

    Authors: Li Wei and Ravi P Agarwal

    Citation: Fixed Point Theory and Applications 2016 2016:7

    Content type: Research

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  17. In this paper, we propose an iterative algorithm and, by using the proposed algorithm, prove some strong convergence theorems for finding a common element of the set of solutions of a finite family of split eq...

    Authors: Shenghua Wang, Xiaoying Gong, Afrah AN Abdou and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2016 2016:4

    Content type: Research

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  18. This paper provides a fixed point theorem and iterative construction of a common fixed point for a general class of nonlinear mappings in the setup of uniformly convex hyperbolic spaces. We translate a multi-s...

    Authors: Muhammad Aqeel Ahmad Khan, Hafiz Fukhar-ud-din and Amna Kalsoom

    Citation: Fixed Point Theory and Applications 2016 2016:3

    Content type: Research

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  19. In this paper, we introduce the two new concepts of an α-type almost-F-contraction and an α-type F Suzuki contraction and prove some fixed point theorems for such mappings in a complete metric space. Some example...

    Authors: Lokesh Budhia Budhia, Poom Kumam, Juan Martínez-Moreno and Dhananjay Gopal

    Citation: Fixed Point Theory and Applications 2016 2016:2

    Content type: Research

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  20. In this paper, we establish some fixed point results for α-λ-contractions in the class of quasi b-metric spaces. To illustrate the obtained results, we provide some examples and an application on a solution of an...

    Authors: Abdelbasset Felhi, Slah Sahmim and Hassen Aydi

    Citation: Fixed Point Theory and Applications 2016 2016:1

    Content type: Research

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  21. In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the ex...

    Authors: Rafa Espínola, Meraj Hosseini and Kourosh Nourouzi

    Citation: Fixed Point Theory and Applications 2015 2015:236

    Content type: Research

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  22. We compare the rate of convergence for some iteration methods for contractions. We conclude that the coefficients involved in these methods have an important role to play in determining the speed of the conver...

    Authors: Shahin Fathollahi, Adrian Ghiura, Mihai Postolache and Shahram Rezapour

    Citation: Fixed Point Theory and Applications 2015 2015:234

    Content type: Research

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  23. Under some weaker conditions, some coincidence point and common fixed point theorems are established in partially ordered fuzzy metric spaces using weakly compatible mappings. By using the theorems, we obtain ...

    Authors: Shuang Wang

    Citation: Fixed Point Theory and Applications 2015 2015:233

    Content type: Research

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  24. The aim of this paper to present fixed point results for single-valued operators in b-metric spaces. The case of scalar metric and the case of vector-valued metric approaches are considered. As an application, a ...

    Authors: Monica-Felicia Bota, Adrian Petruşel, Gabriela Petruşel and Bessem Samet

    Citation: Fixed Point Theory and Applications 2015 2015:231

    Content type: Research

    Published on:

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