Complete D* - metric space
Generalization of fixed point theroms and selfmap of f orbitally complete d metric space
... in D-metric ...compete D-metric space which include unique fixed point results in Dolhare (2016), Dhage et ...F-orbitally complete D-metric spaces as a special ...
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On convergent sequences and fixed point theorems in D metric spaces
... of complete D-metric spaces are given in which every convergent sequence has at most two limits and in which there are convergent sequences with exactly two ...a complete ...
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On the topology of D metric spaces and generation of D metric spaces from metric spaces
... usual metric, x 0 = 0, and A = { 1 /n : n ∈ N} ...a complete D -metric space, any sequence in A which converges to zero in the usual sense converges to x with respect to ρ for each x in ...
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Using metric space indexing for complete and efficient record linkage
... Metric space indexing (MSI) techniques [31] support similarity ...distance d of a query record q; nearest-neighbour(q), returning the record with smallest distance to q; and nearest-n(q,n), returning ...
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Vol 3, No 5 (2012)
... (X, d) be a complete metric space. If T satisfies d(Tx, Ty) ≤ kd(x, y) for each x, y ∈ X where 0 ≤ k < 1 , then T has a unique fixed point in ...if d(fgx, gfx) ≤ d(gx, ...
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Common fixed point theorems for semigroups on metric spaces
... a complete metric space (M,d) such that there is a gauge function ϕ for which d(f (x),f (y)) ≤ ϕ(δ(O f (x,y))) for f ∈ S and x,y in M, where δ(O f (x,y)) denotes the diameter of the ...
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Common Fixed Point Theorems of Gregus Type in a Complete Metric Space
... underlying space is generalised from Banach spaces to complete linear metric spaces, which include Banach spaces and complete metrisable locally convex ...introduce d(T x, Iy) and ...
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A short note on the equivalence between ‘best proximity’ points and ‘fixed point’ results
... Following the same lines as the proof of Theorem . in [], one can show that {Txn } is a Cauchy sequence in the complete metric space X, d.. Note that since g is an isometry, it is con[r] ...
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Convergence of the Sequence of Successive Approximations to a Fixed Point
... The metric d is a τ -distance on X. Many useful examples and propositions are stated in 9, 18–23 and references therein. The following fixed point theorems are proved in 18. Theorem 2.2 see 18. Let X be a ...
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Vol 6, No 6 (2015)
... of complete metric space, this theorem runs as the follows, (Banach’s contraction principle) Let(X, d) be a complete metric space, c ϵ (0,1) and f:X →X be a mapping such ...
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Best proximity point theorems with Suzuki distances
... = d. Corollary . (Banach’s contraction principle) Let (X, d) be a complete metric space and A be a nonempty closed subset of X ...
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Semicompatibility and fixed point theorems in an unbounded D metric space
... a complete and bounded D-metric space, and let T be a self-map of X satisfying D(Tx,T y, Tz) ≤ k Max { D(x, y,z), D(x,Tx, z), D(y,T y,z), D(x,T ...
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Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
... During the sixties, the notion of 2-metric space introduced by G¨ahler see 1, 2 as a generalization of usual notion of metric space X, d. But different authors proved that there is no ...
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Fw-contractions in a complete G-metric space
... the D-metric space as a generalization of the metric space and proved some results in this ...G-metric space as a generalized form of the metric ...
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On almost contractions in partially ordered metric spaces via implicit relations
... (X, d, ) be a partially ordered metric space which is complete and regular ...(X, d, ) also satisfy condition ...F d(Tx, Ty), d(x, y), d(x, Tx), d(y, Ty), ...
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Geodesics on Generalized Plane Wave Manifolds
... Differential geometry studies geometric properties of objects by applying the techniques of calculus. We focus on a branch of differential geometry called pseudo- Riemannian geometry (sometimes referred to as ...
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Some properties of median metric spaces
... a space is (bilipschitz equivalent to) a CAT(0) space makes it easier to work with in several ...the space, as well as the construction of homotopies between ...CAT(0) space, but can be ...
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Vol 3, No 1 (2012)
... I n this paper we introduce the concept of non-Archimedean G-fuzzy metric space and obtain some results for two semi- compatible mappings in this newly defined space. Our results improve and ...
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Vol 2013
... 1.4.4. The Exponential Function. Suppose that A is a finite-dimensional real unital algebra and |.| is a norm, or equivalently a distance metric, on A. Another norm on A can be defined by setting kak = sup{|ab| : ...
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Fixed point results for the α Meir Keeler contraction on partial Hausdorff metric spaces
... The purpose of this paper is to study fixed point theorems for a multi-valued mapping satisfying the α -Meir-Keeler contraction with respect to the partial Hausdorff metric H in complete partial metric ...
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