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Recent Progress in Fixed Point Theory and Applications (2015)

This special Issue originates from the 11th ICFPTA (11th International Conference on Fixed Point Theory and Applications 2015, (http://icfpta.org/) which was held in July 20-24, 2015 in Istanbul, Turkey, and was organized by the Department of Mathematics, Galatasaray University.

The special Issue is focused on latest achievements in fixed point theory and its applications. It reflects both state-of-the-art theoretical research and important recent advances in applications. This special issue will also focus on the iterative methods for finding the approximate solutions of various fixed point problems, equilibrium problems and optimization problems.

Edited by: Inci Erhan, Erdal Karapinar, A/ Petrusel and Antonio-Francisco Roldán-López-de-Hierro 

  1. Content type: Research

    In this paper we utilize a generalized weakly contractive mapping to establish some best proximity point results which are global optimization results for finding the minimum distances between two sets. Amongs...

    Authors: Binayak S Choudhury, Nikhilesh Metiya, Georgeta Maniu and Pulak Konar

    Citation: Fixed Point Theory and Applications 2016 2016:79

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  2. Content type: Research

    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

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  3. Content type: Research

    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

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  4. Content type: Research

    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

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  5. Content type: Research

    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

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  6. Content type: Research

    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

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  7. Content type: Research

    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

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  8. Content type: Research

    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

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  9. Content type: Research

    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

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  10. Content type: Research

    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

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  11. Content type: Research

    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

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  12. Content type: Research

    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

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  13. Content type: Research

    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

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  14. Content type: Research

    We present a procedure to construct a compatible metric from a given fuzzy metric space. We use this approach to obtain a characterization of a large class of complete fuzzy metric spaces by means of a fuzzy v...

    Authors: Francisco Castro-Company, Salvador Romaguera and Pedro Tirado

    Citation: Fixed Point Theory and Applications 2015 2015:226

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  15. Content type: Research

    In this paper, we propose and investigate two new iterative algorithms for solving the split equality variational inclusion problem in Hilbert spaces. We also prove that the sequences generated by the proposed...

    Authors: Haili Guo, Huimin He and Rudong Chen

    Citation: Fixed Point Theory and Applications 2015 2015:223

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  16. Content type: Research

    We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this abstract fixed-...

    Authors: Rubén Figueroa Sestelo and Rodrigo López Pouso

    Citation: Fixed Point Theory and Applications 2015 2015:220

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  17. Content type: Research

    The purpose of this article is to establish a kind of non-convex hybrid iteration algorithms and to prove relevant strong convergence theorems of common fixed points for a uniformly closed asymptotically famil...

    Authors: Jinyu Guan, Yanxia Tang, Pengcheng Ma, Yongchun Xu and Yongfu Su

    Citation: Fixed Point Theory and Applications 2015 2015:214

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  18. Content type: Research

    In this paper, we propose a new iterative sequence for solving common problems which consist of split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in the framework of ...

    Authors: Uamporn Witthayarat, Afrah A N Abdou and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2015 2015:200

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  19. Content type: Research

    We prove a convergence theorem of the Mann iteration scheme for a uniformly L-Lipschitzian asymptotically demicontractive mapping in a http://static-content.springer.com/image/art%3A10.1186%2Fs13663-015-0438-7/13663_2015_438_Article_IEq1.gif

    Authors: Bancha Panyanak

    Citation: Fixed Point Theory and Applications 2015 2015:186

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