Results 31 to 40 of about 37,867 (284)
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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Coincidence Continuation Theory for Multivalued Maps with Selections in a Given Class
This paper considers the topological transversality theorem for general multivalued maps which have selections in a given class of maps.
Donal O’Regan
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FIXED POINTS AND COINCIDENCES IN TORUS BUNDLES [PDF]
Minimum numbers of fixed points or of coincidence components (realized by maps in given homotopy classes) are the principal objects of study in topological fixed point and coincidence theory. In this paper, we investigate fiberwise analoga and present a general approach e.g. to the question when two maps can be deformed until they are coincidence free.
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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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Rigid Cylindrical Frameworks with Two Coincident Points [PDF]
21 pages, 3 ...
Bill Jackson +2 more
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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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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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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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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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