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Remarks on ‘Coupled coincidence point results for a generalized compatible pair with applications’ [PDF]
Very recently, Hussain et al. (Fixed Point Theory Appl. 2014:62, 2014) announced the existence and uniqueness of some coupled coincidence point. In this short note we remark that the announced results can be derived from the coincidence point results in ...
İncı M. Erhan+3 more
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Approximate Coincidence Point of Two Nonlinear Mappings
We study the approximate coincidence point of two nonlinear functions introduced by Geraghty in 1973 and Mizoguchi and Takahashi (ℳ𝒯-function) in 1989.
Debashis Dey+2 more
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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS
. We present coincidence point theorem for g -non-decreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces.
Bhavana Deshpande+2 more
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Around metric coincidence point theory
Let $(X,d)$ be a complete metric space, $(Y,\rho)$ be a metric space and $f,g:X\to Y$ be two mappings. The problem is to give metric conditions which imply that, $C(f,g):=\{x\in X\ |\ f(x)=g(x)\}\not=\emptyset$.
I. Rus
semanticscholar +1 more source
In this paper, we study the existence and uniqueness of common fixed point of $ \alpha_{i, j} $-$ \varphi_{{E}_{M, N}} $-Geraghty contraction mappings and the existence of coincidence point of $ \alpha_{i, j} $-$ \varphi_{E_N} $-Geraghty contraction ...
Chen Lang, H. Guan
semanticscholar +1 more source
Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
Objectives We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature.
K. Kalyani, N. Seshagiri Rao
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Fixed point results for weak contractions in partially ordered b-metric space
Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction.
N. Seshagiri Rao, K. Kalyani, K. Prasad
doaj +1 more source
Coincidence points in uniform spaces [PDF]
In this note, we give a coincidence point theorem in sequentially complete Hausdorff uniform spaces. Our result reduces to a result of Acharya [1].
Tomasz Kubiak, Y. J. Cho
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Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces ...
Belay Mitiku+2 more
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On coincidence points for vector mappings [PDF]
For mappings acting in the product of metric spaces we propose a concept of vector covering. This concept is a natural extension of the notion of covering formappings inmetric spaces. The statements on the solvability of systems of operator equations are proved for the case when the left-hand side of an equation is a value of a vector covering mapping ...
E. S. Zhukovskiy, E. S. Zhukovskiy
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