Results 41 to 50 of about 2,325,941 (278)
Fixed Point Theorems In 2-Banach Spaces For Non-expansive Type Conditions
Fixed point theorems had been established and developed under various non-expansive type conditions on different metric spaces. In this paper, we have generalized (ψ,φ) - weak contractions, which is the generalizations of F-contraction, (ϕ,F ...
Krishnadhan Sarkar +2 more
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Rigid Cylindrical Frameworks with Two Coincident Points [PDF]
21 pages, 3 ...
Bill Jackson +2 more
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Involutions with fixed points in 2-Banach spaces
Some results on fixed points of involution maps in 2-Banach spaces have been obtained. These are extensions of those proved earlier by Goebel-Zlotkiewicz, Sharma-Sharma, Assad-Sessa and Iśeki.
M. S. Khan, M. D. Khan
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An application of KKM-map principle
The following theorem is proved and several fixed point theorems and coincidence theorems are derived as corollaries. Let C be a nonempty convex subset of a normed linear space X, f:C→X a continuous function, g:C→C continuous, onto and almost quasi ...
A. Carbone
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Fixed point and coincidence point theorems
In this paper, we present a generalization of some fixed point and coincidence point theorems using the notion of a on a complete metric space.Consequently, we improve and generalize various results existing in the literature.
Saima Naheed, Arjamand Bano
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New Quasi-Coincidence Point Polynomial Problems [PDF]
LetF:ℝ×ℝ→ℝbe a real-valued polynomial function of the formF(x,y)=as(x)ys+as-1(x)ys-1+⋯+a0(x), where the degreesofyinF(x,y)is greater than or equal to1. For arbitrary polynomial functionf(x)∈ℝ[x],x∈ℝ, we will find a polynomial solutiony(x)∈ℝ[x]to satisfy the following equation: (*):F(x,y(x))=af(x), wherea∈ℝis a constant depending on the solutiony(x ...
Chen, Yi-Chou, Lai, Hang-Chin
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COINCIDENCE POINTS OF COMPATIBLE MULTIVALUED MAPPINGS
Let \(CB(X)\) be the space of nonempty bounded closed subsets of a metric space \((X,d)\) with the Hausdorff metric. Mappings \(T:X\to CB(X)\), \(f:X\to X\) are said to be compatible if, for any sequence \(\{x_n\}\subset X\) satisfying \(\lim_{n\to\infty} fx_n\in \lim_{n\to\infty} Tx_n\) we have \(\lim_{n\to\infty} H(fTx_n,Tfx_n)=0\).
Azam, Akbar, Beg, Ismat
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Common coincidence points of R-weakly commuting maps
A common coincidence point theorem for R-weakly commuting mappings is obtained. Our result extend several ones existing in literature.
Tayyab Kamran
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Variation of Fixed-Point and Coincidence Sets [PDF]
AbstractTopologise the set of continuous self-mappings of a Hausdorff space by the graph topology. When the set of closed subsets of the space is given the upper semi-finite topology then the function which assigns to a map its fixed-point set is continuous. In many familiar cases this is the largest such topology.
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MAPS PRESERVING THE COINCIDENCE POINTS OF OPERATORS
Summary: Let \(\mathcal{B(X)}\) be the algebra of all bounded linear operators on a Banach space \(\mathcal{X}\) with \(\dim \mathcal{X} \geqslant 2\). In this paper, we describe surjective maps \(\phi: \mathcal{B(X)}\to\mathcal{B(X)}\) preserving the coincidence points of operators, i.e., \(C(A,B)=C(\phi(A),\phi(B))\), for every \(A, B \in \mathcal{B ...
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