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  1. In this paper, we present some existence and uniqueness results for coupled coincidence point and common fixed point of θ-ψ-contraction mappings in complete metric spaces endowed with a directed graph. Our result...

    Authors: Suthep Suantai, Phakdi Charoensawan and Tatjana Aleksic Lampert

    Citation: Fixed Point Theory and Applications 2015 2015:224

    Content type: Research

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  2. 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

    Content type: Research

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  3. 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

    Content type: Research

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  4. In this paper, we introduce the concept of normed Lie superalgebras and define the superhomomorphism and the superderivation in normed Lie superalgebras. We define a generalized T-orbitally complete metric space ...

    Authors: Madjid Eshaghi, Sadegh Abbaszadeh, Manuel de la Sen and Zahra Farhad

    Citation: Fixed Point Theory and Applications 2015 2015:219

    Content type: Research

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  5. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of...

    Authors: Kanyarat Cheawchan, Suthep Suantai and Atid Kangtunyakarn

    Citation: Fixed Point Theory and Applications 2015 2015:216

    Content type: Research

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  6. These remarks are based on a talk the writer gave at the 11th International Conference in Fixed Point Theory and Applications, held at Galatasaray University in Istanbul, Turkey, July 20-24, 2015. They represe...

    Authors: William A Kirk

    Citation: Fixed Point Theory and Applications 2015 2015:215

    Content type: Research

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  7. 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

    Content type: Research

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  8. We construct a relaxed hybrid shrinking iteration algorithm for approximating common fixed points of a countable family of totally quasi-ϕ-asymptotically nonexpansive multi-valued mappings. A strong convergence t...

    Authors: Shanguang Qian

    Citation: Fixed Point Theory and Applications 2015 2015:213

    Content type: Research

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  9. In this paper, first, we introduce the condition (BP) which is weaker than the completely continuous mapping in Banach spaces. Second, we consider a simple iteration and prove some strong convergence theorems ...

    Authors: Weiping Guo, Afrah AN Abdou, Liaqat A Khan and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2015 2015:212

    Content type: Research

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  10. The purpose of this paper is to provide sufficient conditions for the existence and uniqueness of fixed points for non-decreasing and mixed monotone mappings with auxiliary functions in the framework of metric...

    Authors: Shuang Wang, Arslan Hojat Ansari and Sumit Chandok

    Citation: Fixed Point Theory and Applications 2015 2015:209

    Content type: Research

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  11. In this paper, we investigate the sufficient condition for the existence of best proximity points for non-self-multivalued mappings. Additionally, we discuss the stability theorem for such mappings. Our result...

    Authors: Quanita Kiran, Muhammad Usman Ali, Tayyab Kamran and Erdal Karapınar

    Citation: Fixed Point Theory and Applications 2015 2015:207

    Content type: Research

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  12. The purpose of the paper is to study the proximal split feasibility problems. For solving the problems, we present new self-adaptive algorithms with the regularization technique. By using these algorithms, we ...

    Authors: Yonghong Yao, Zhangsong Yao, Afrah AN Abdou and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2015 2015:205

    Content type: Research

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  13. 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

    Content type: Research

    Published on:

  14. In this paper, first, we give the separation theorem which is an extension of the separation theorem due to Jachymski and Jóźwik (J. Math. Anal. Appl. 300:147-159, 2004). Then, by using this and the related re...

    Authors: Sirous Moradi, Ali P Farajzadeh, Yeol Je Cho and Somyot Plubtieng

    Citation: Fixed Point Theory and Applications 2015 2015:199

    Content type: Research

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  15. In this paper, we prove sharpened versions of some classical order-theoretic metrical fixed point theorems due to Nieto and Rodríguez-López (Order 22(3):223-239, 2005) using order-theoretic variants of complet...

    Authors: Marwan Amin Kutbi, Aftab Alam and Mohammad Imdad

    Citation: Fixed Point Theory and Applications 2015 2015:198

    Content type: Research

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  16. In this paper we give Banach fixed point theorems and explicit estimates on the rates of convergence of the transition function to the stationary distribution for a class of exponential ergodic Markov chains. ...

    Authors: Zhenhai Yan, Guojun Yan and Ikudol Miyamoto

    Citation: Fixed Point Theory and Applications 2015 2015:197

    Content type: Research

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    The Retraction Note to this article has been published in Fixed Point Theory and Applications 2020 2020:5

  17. A general viscosity iterative method for a finite family of generalized asymptotically quasi-nonexpansive mappings in a convex metric space is introduced. Special cases of the new iterative method are the visc...

    Authors: Abdul Rahim Khan, Nusrat Yasmin, Hafiz Fukhar-ud-din and Sami Atif Shukri

    Citation: Fixed Point Theory and Applications 2015 2015:196

    Content type: Research

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  18. In this paper we deal with the existence and multiplicity of nontrivial solutions to a class of operator equation. By using infinite dimensional Morse theory, we establish some conditions which guarantee that ...

    Authors: Xiaojing Feng

    Citation: Fixed Point Theory and Applications 2015 2015:193

    Content type: Research

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  19. In this paper, we consider, discuss, improve, and complement recent fixed points results for mappings satisfying cyclical contractive conditions established by Pacurar and Rus (Nonlinear Anal. 72:1181-1187, 20...

    Authors: Stojan Radenović

    Citation: Fixed Point Theory and Applications 2015 2015:189

    Content type: Research

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  20. In this paper, we prove Browder’s convergence theorem for G-nonexpansive mappings in a Hilbert space with a directed graph. Moreover, we also prove strong convergence of the Halpern iteration process to a fixed p...

    Authors: Jukrapong Tiammee, Attapol Kaewkhao and Suthep Suantai

    Citation: Fixed Point Theory and Applications 2015 2015:187

    Content type: Research

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  21. 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

    Content type: Research

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  22. We introduce new concepts of generalized contractive and generalized α-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on co...

    Authors: Nawab Hussain, Vahid Parvaneh, Bessem Samet and Calogero Vetro

    Citation: Fixed Point Theory and Applications 2015 2015:185

    Content type: Research

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  23. In 1981, Borsík and Doboš studied the aggregation problem for metric spaces. Thus, they characterized those functions that allow one to merge a collection of metrics providing a single metric as a result (Bors...

    Authors: Maryam A Alghamdi, Naseer Shahzad and Oscar Valero

    Citation: Fixed Point Theory and Applications 2015 2015:181

    Content type: Research

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  24. In this paper we present a few fixed point results in the framework of topological posets. To this end, we introduce an appropriate notion of completeness and order-continuity. Special attention is paid to the...

    Authors: Naseer Shahzad, Oscar Valero, Mohammed A Alghamdi and Maryam A Alghamdi

    Citation: Fixed Point Theory and Applications 2015 2015:179

    Content type: Research

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  25. We introduce an iterative algorithm for solving the multiple-sets split feasibility problem with splitting self-adaptive step size. This step size is calculated directly from the iteration process without need...

    Authors: Yuchao Tang, Chuanxi Zhu and Hui Yu

    Citation: Fixed Point Theory and Applications 2015 2015:178

    Content type: Research

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  26. In this manuscript we extend very recent fixed point theorems in the setting of Menger spaces in three senses: on the one hand, we introduce the notion of Menger probabilistic metric-like space by avoiding a non-...

    Authors: Antonio Francisco Roldán López de Hierro and Manuel de la Sen

    Citation: Fixed Point Theory and Applications 2015 2015:176

    Content type: Research

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  27. The main aim of this paper is to obtain some new common fixed point theorems for Geraghty’s type contraction mappings using the monotone property with two metrics and to give some examples to illustrate the ma...

    Authors: Juan Martínez-Moreno, Wutiphol Sintunavarat and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2015 2015:174

    Content type: Research

    Published on:

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