Research
Fixed Point Theory and Applications 2016 2016:85
Published on: 18 August 2016
Research
Fixed Point Theory and Applications 2016 2016:85
Published on: 18 August 2016
Research
Fixed Point Theory and Applications 2016 2016:84
Published on: 16 August 2016
Research
Fixed Point Theory and Applications 2016 2016:83
Published on: 5 August 2016
Research
In this paper, we introduce a new class of generalized nonexpansive mappings. Some new fixed point theorems for these mappings are obtained.
Fixed Point Theory and Applications 2016 2016:82
Published on: 1 August 2016
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...
Fixed Point Theory and Applications 2016 2016:81
Published on: 29 July 2016
Research
Fixed Point Theory and Applications 2016 2016:80
Published on: 26 July 2016
Research
A new definition of essential fixed points is introduced for a large class of multivalued maps. Two abstract existence theorems are presented for approximable maps on compact ANR-spaces in terms of a nontrivia...
Fixed Point Theory and Applications 2016 2016:78
Published on: 15 July 2016
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...
Fixed Point Theory and Applications 2016 2016:79
Published on: 15 July 2016
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...
Fixed Point Theory and Applications 2016 2016:77
Published on: 8 July 2016
Research
Fixed Point Theory and Applications 2016 2016:76
Published on: 2 July 2016
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...
Fixed Point Theory and Applications 2016 2016:74
Published on: 30 June 2016
Research
Based on the notions of both contractibility and local contractibility, many works were done in fixed point theory. The present paper concerns a relation between digital contractibility and the existence of fi...
Fixed Point Theory and Applications 2016 2016:75
Published on: 30 June 2016
Research
A fixed point theorem for weakly inward A-proper maps defined on cones in Banach spaces is established using a fixed point index for such maps. The result generalizes a theorem in Deimling (Nonlinear Functional A...
Fixed Point Theory and Applications 2016 2016:71
Published on: 29 June 2016
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...
Fixed Point Theory and Applications 2016 2016:73
Published on: 29 June 2016
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...
Fixed Point Theory and Applications 2016 2016:72
Published on: 29 June 2016
Research
We show that the Kakutani and Brouwer fixed point theorems can be obtained by directly using the Nash equilibrium theorem. The corresponding set-valued problems, such as the Kakutani fixed point theorem, Walra...
Fixed Point Theory and Applications 2016 2016:69
Published on: 24 June 2016
Research
Fixed Point Theory and Applications 2016 2016:70
Published on: 24 June 2016
Research
Fixed Point Theory and Applications 2016 2016:68
Published on: 8 June 2016
Research
In this paper, we obtain a fixed point theorem for mappings satisfying cyclic φ-contractive conditions in complete metric spaces, which gives a positive answer to the question raised by Radenović (Fixed Point The...
Fixed Point Theory and Applications 2016 2016:67
Published on: 4 June 2016
Research
In this paper we introduce the notion of a cyclic generalized proximal contraction, and then prove some best proximity point theorems in metric spaces. We will provide examples to illustrate our results.
Fixed Point Theory and Applications 2016 2016:66
Published on: 4 June 2016
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...
Fixed Point Theory and Applications 2016 2016:65
Published on: 31 May 2016
Research
Based on the characterizations of reproducing cones, some fixed point theorems for multi-valued increasing, decreasing, and mixed monotone operators are established. As an application, the solvability of a fra...
Fixed Point Theory and Applications 2016 2016:64
Published on: 27 May 2016
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...
Fixed Point Theory and Applications 2016 2016:63
Published on: 21 May 2016
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 ...
Fixed Point Theory and Applications 2016 2016:62
Published on: 14 May 2016
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...
Fixed Point Theory and Applications 2016 2016:61
Published on: 11 May 2016