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  1. Content type: Research

    In this article, we define the new concept of a fixed set for a set valued map with set valued domain in the setting of metric space endowed with a directed graph. This notion of fixed set is analogous to the ...

    Authors: Pradip Debnath, Binayak S Choudhury and Murchana Neog

    Citation: Fixed Point Theory and Applications 2017 2017:5

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  2. Content type: Research

    We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order ⪯. This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type...

    Authors: Rahul Shukla, Rajendra Pant and Manuel De la Sen

    Citation: Fixed Point Theory and Applications 2017 2017:4

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  3. Content type: Research

    The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results,...

    Authors: Samih Lazaiz, Karim Chaira, Mohamed Aamri and El Miloudi Marhrani

    Citation: Fixed Point Theory and Applications 2017 2017:3

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  4. Content type: Research

    We establish some new common coupled fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space setting. For that purpose, the notions of wea...

    Authors: Nabil Machrafi

    Citation: Fixed Point Theory and Applications 2017 2017:2

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  5. Content type: Research

    Meir and Keeler formulated their fixed point theorem for contractive mappings with purely metric condition. This idea was extended by numerous mathematicians. In this paper, we present a simple method of provi...

    Authors: Lech Pasicki

    Citation: Fixed Point Theory and Applications 2017 2017:1

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  6. Content type: Research

    In the paper general theorems on common fixed point for four mappings are presented. The results are compact and they extend and unify the respective part of the fixed point theory.

    Authors: Lech Pasicki

    Citation: Fixed Point Theory and Applications 2016 2016:99

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  7. Content type: Research

    In this paper, we introduce the notion of diagonal operator, we present the historical roots of diagonal operators and we give some fixed point theorems for this class of operators. Our approaches are based on...

    Authors: Adrian Petruşel, Ioan A Rus and Marcel-Adrian Şerban

    Citation: Fixed Point Theory and Applications 2016 2016:95

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  8. Content type: Review

    The purpose of this survey is to prove that the fixed point results for various multiplicative contractions are in fact equivalent to the corresponding fixed point results in (standard) metric spaces. For exam...

    Authors: Tatjana Došenović, Mihai Postolache and Stojan Radenović

    Citation: Fixed Point Theory and Applications 2016 2016:92

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  9. Content type: Research

    In this paper, we present new fixed point theorems in Banach algebras relative to the weak topology. Our fixed point results are obtained under Leray-Schauder-type boundary conditions. These results improve an...

    Authors: Abdelmjid Khchine, Lahcen Maniar and Mohamed-Aziz Taoudi

    Citation: Fixed Point Theory and Applications 2016 2016:88

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  10. Content type: Research

    In this research, a multihierarchical methodology works by taking a whole intersection property to establish a fixed point theorem. Using such a whole intersection property to let multihierarchical procedures ...

    Authors: Yen-Cherng Lin and Hang-Chin Lai

    Citation: Fixed Point Theory and Applications 2016 2016:86

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  11. Content type: Research

    We establish existence and uniqueness of fixed points for a new class of mappings, by using R-functions and lower semi-continuous functions in the setting of metric spaces. As consequences of this results, we obt...

    Authors: Antonella Nastasi, Pasquale Vetro and Stojan Radenović

    Citation: Fixed Point Theory and Applications 2016 2016:81

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  12. 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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  13. Content type: Research

    This paper considers the fixed point problem for a nonexpansive mapping on a real Hilbert space and proposes novel line search fixed point algorithms to accelerate the search. The termination conditions for th...

    Authors: Hideaki Iiduka

    Citation: Fixed Point Theory and Applications 2016 2016:77

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  14. Content type: Research

    The purpose of this paper is to establish some fixed point results for cyclic contractions in the setting of dislocated quasi-b-metric spaces. We verify that some previous cyclic contraction results in dislocated...

    Authors: Diana Dolićanin-Ðekić, Tatjana Došenović, Huaping Huang and Stojan Radenović

    Citation: Fixed Point Theory and Applications 2016 2016:74

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  15. 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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  16. Content type: Research

    In this paper, we prove some existence theorems of fixed points of a monotone nonexpansive mapping T in a Banach space E with the partial order ‘≤’, where a such mapping may be discontinuous. In particular, in fi...

    Authors: Yisheng Song, Poom Kumam and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2016 2016:73

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  17. Content type: Research

    This paper provides new common fixed point theorems for pairs of multivalued and single-valued mappings operating between ordered Banach spaces. Our results lead to new existence theorems for a system of integ...

    Authors: Nawab Hussain and Mohamed-Aziz Taoudi

    Citation: Fixed Point Theory and Applications 2016 2016:65

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  18. Content type: Research

    Boyd and Wong in their celebrated paper ‘On nonlinear contractions’ assumed the comparison function to be upper semicontinuous from the right. Our requirement presented in this paper is much more general and i...

    Authors: Lech Pasicki

    Citation: Fixed Point Theory and Applications 2016 2016:63

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  19. Content type: Review

    Very recently, Hussain et al. (Fixed Point Theory Appl. 2015:185, 2015) introduced the concept of JS-contraction and established some fixed point theorems for such contractions. In this paper, we introduce a new ...

    Authors: Shujun Jiang, Zhilong Li and Boško Damjanović

    Citation: Fixed Point Theory and Applications 2016 2016:62

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  20. 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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  21. Content type: Research

    This paper aims to study the strong convergence of generalized modified Krasnoselskii iterative process for finding the minimum norm solutions of certain nonlinear equations with generalized strictly pseudocon...

    Authors: Ali Mohamed Saddeek

    Citation: Fixed Point Theory and Applications 2016 2016:60

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  22. Content type: Research

    The aim of this work is to introduce some new notions of generalized convex contraction mappings and establish some approximate fixed point theorems for such mappings in the setting of complete metric spaces. ...

    Authors: Abdul Latif, Aphinat Ninsri and Wutiphol Sintunavarat

    Citation: Fixed Point Theory and Applications 2016 2016:58

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