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  1. The first purpose of this paper is to define a homotopy for fuzzy spaces. We continue our work by showing that the property of having a fixed point is invariant by this homotopy. These theorems generalize and ...

    Authors: Fatemeh Kiany
    Citation: Fixed Point Theory and Applications 2017 2017:15
  2. Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples...

    Authors: Reny George, Hossam A Nabwey, R Rajagopalan, Stojan Radenović and KP Reshma
    Citation: Fixed Point Theory and Applications 2017 2017:14
  3. We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.

    Authors: Carlos Bosch, César L García, Thomas Gilsdorf, Claudia Gómez-Wulschner and Rigoberto Vera
    Citation: Fixed Point Theory and Applications 2017 2017:13
  4. In this paper, we use the concept of C-class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S-metric spaces. Our results extend and improve some kn...

    Authors: Arslan Hojat Ansari and Jamnian Nantadilok
    Citation: Fixed Point Theory and Applications 2017 2017:12
  5. Authors: Ravi P Agarwal, Juan J Nieto and Adrian Petrusel
    Citation: Fixed Point Theory and Applications 2017 2017:11
  6. Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F-contraction and proved a fixed point theorem which generalizes the Banach contraction principle. Following this direction...

    Authors: Jarosław Górnicki
    Citation: Fixed Point Theory and Applications 2017 2017:9
  7. In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point...

    Authors: Montira Suwannaprapa, Narin Petrot and Suthep Suantai
    Citation: Fixed Point Theory and Applications 2017 2017:6
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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

Annual Journal Metrics

  • 2022 Citation Impact
    0.970 - SNIP (Source Normalized Impact per Paper)
    0.435 - SJR (SCImago Journal Rank)

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    11 days submission to first editorial decision for all manuscripts (Median)
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