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Fixed Point Theory and Algorithms for Sciences and Engineering
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  1. 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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  2. 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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  4. 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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  5. 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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  7. 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

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  9. In this work, we discuss the concept of Banach operator pairs in modular vector spaces. We prove the existence of common fixed points for these type of operators which satisfy a modular continuity in modular c...

    Authors: Afrah AN Abdou and Mohamed A Khamsi

    Citation: Fixed Point Theory and Applications 2015 2015:229

    Content type: Research

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  12. 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

    Content type: Research

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  14. 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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  15. 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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  18. 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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  19. 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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  22. 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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  23. 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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  24. 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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  25. 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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  26. 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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  29. 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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  31. 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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  33. 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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  38. 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

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  39. 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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  40. 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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  41. 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

  42. 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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  45. 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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  49. 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

    Published on:

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