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  1. 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

    Published on:

  2. 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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  3. 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

    Published on:

  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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:

  19. In this paper, a new type of G-contraction multivalued mappings in a metric space endowed with a directed graph is introduced and studied. This type of mappings is more general than that of Mizoguchi and Takahash...

    Authors: Adisak Hanjing and Suthep Suantai

    Citation: Fixed Point Theory and Applications 2015 2015:171

    Content type: Research

    Published on:

  20. In this paper we establish some best proximity point results using generalized weak contractions with discontinuous control functions. The theorems are established in metric spaces with a partial order. We vie...

    Authors: Binayak S Choudhury, Nikhilesh Metiya, Mihai Postolache and Pulak Konar

    Citation: Fixed Point Theory and Applications 2015 2015:170

    Content type: Research

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  21. It is well known that equilibrium problems are very important mathematical models and are closely related with fixed point problems, variational inequalities, and Nash equilibrium problems. Gap functions and e...

    Authors: Wenyan Zhang, Jiawei Chen, Shu Xu and Wen Dong

    Citation: Fixed Point Theory and Applications 2015 2015:169

    Content type: Research

    Published on:

  22. In this paper, we establish some fixed point theorems with T-contractions and w-distances in partially ordered metric spaces. The main tool used in our proof is a generalized altering distance function. Our resul...

    Authors: Yanbin Sang and Qian Meng

    Citation: Fixed Point Theory and Applications 2015 2015:168

    Content type: Research

    Published on:

  23. The purpose of the paper is to construct iterative methods for finding the fixed points of nonexpansive mappings. We present a modified semi-implicit midpoint rule with the viscosity technique. We prove that t...

    Authors: Yonghong Yao, Naseer Shahzad and Yeong-Cheng Liou

    Citation: Fixed Point Theory and Applications 2015 2015:166

    Content type: Research

    Published on:

  24. In this paper, we introduce the notion of generalized cyclic contraction pairs in b-metric spaces and establish some fixed point theorems for such pairs. Also, we give some examples to illustrate the main results...

    Authors: Oratai Yamaod, Wutiphol Sintunavarat and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2015 2015:164

    Content type: Research

    Published on:

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