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Fixed Point Theory and Applications
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Page 5 of 38

  3. Content type: Research

    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

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  6. Content type: Research

    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

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  7. Content type: Research

    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

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  8. 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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  9. Content type: Research

    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

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  13. Content type: Research

    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

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  14. Content type: Research

    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

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  15. Content type: Research

    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

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  17. Content type: Research

    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

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  20. Content type: Research

    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

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  23. Content type: Research

    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

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  24. Content type: Research

    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

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  25. Content type: Research

    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

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  27. Content type: Research

    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

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  29. Content type: Research

    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

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  30. Content type: Research

    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

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  33. Content type: Research

    In this paper, we investigate common solutions to a family of mixed equilibrium problems with a relaxed η-α-monotone mapping and a nonlinear operator equation involving an infinite family of asymptotically quasi-

    Authors: Ren-Xing Ni, Jian-Shuai Jin and Ching-Feng Wen

    Citation: Fixed Point Theory and Applications 2015 2015:161

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  38. Content type: Research

    In this paper, we propose a new idea to investigate the important basic problem: how to extend Darbo’s fixed point theorem? We establish some new generalizations of Darbo’s fixed point theorem by using ‘integral ...

    Authors: Longsheng Cai and Jin Liang

    Citation: Fixed Point Theory and Applications 2015 2015:156

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  42. Content type: Research

    The purpose of this paper is to present a new class of probabilistic normed spaces and to study fixed point problems in this class of probabilistic normed spaces. This paper includes the following two contents...

    Authors: Yongchun Xu, Jinyu Guan and Yongfu Su

    Citation: Fixed Point Theory and Applications 2015 2015:155

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  44. Content type: Research

    We use the gauge function introduced by Fang to gain a fixed point result in probabilistic G-metric spaces. Our work extends some existing results. Moreover, our result is supported with an example.

    Authors: Saud M Alsulami, Binayak S Choudhury and Pradyut Das

    Citation: Fixed Point Theory and Applications 2015 2015:151

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  47. Content type: Research

    In this paper, two iteration processes are used to find the solutions of the mathematical programming for the sum of two convex functions. In infinite Hilbert space, we establish two strong convergence theorem...

    Authors: Chih Sheng Chuang, Zenn-Tsun Yu and Lai-Jiu Lin

    Citation: Fixed Point Theory and Applications 2015 2015:143

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  48. Content type: Research

    In this paper, we prove strong and weak convergence theorems for a mapping defined on a bounded, closed and convex subset of a uniformly convex Banach space, satisfying the RCSC condition. This condition was i...

    Authors: Dipti Thakur, Balwant Singh Thakur and Mihai Postolache

    Citation: Fixed Point Theory and Applications 2015 2015:144

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  49. Content type: Research

    The aim of the paper is to provide, by an approach based on the Mönch fixed point theorem, existence results for the semilinear evolution problem with distributed measures

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    Authors: Adrian Petruşel and Bianca Satco

    Citation: Fixed Point Theory and Applications 2015 2015:145

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