fixed point theorems in probabilistic case and fuzzy case
Báo cáo hóa học: " Research Article Coupled Coincidence Point and Coupled Common Fixed Point Theorems in Partially Ordered Metric Spaces with w-Distance" pptx
... fixed point ´ c theorems in cone metric spaces Recently, Lakshmikantham and Ciri´ 13 proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ... Some Fixed Point Theorems, ” Notas de mathematica, 1999 Pre-Print, no 199 J R Morales, Fixed point s theorems for ω-ϕ-contractions,” Notas de mathematica, 2004 Pre-Print, no 230 Fixed Point Theory ... fixed point of a mapping F : X × X → X if x F x, y and y F y, x , a coupled coincidence point of hybrid pair {F, g} if g x F y, x and gx, gy is called coupled point of coincidence, F x, y and g...
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Báo cáo hóa học: "Research Article Common Fixed Point Theorems in Menger Probabilistic Quasimetric Spaces" ppt
... complete if and only if every Cauchy sequence in X is convergent to a point in X In 1998, Jungck and Rhoades compatibility 16 introduced the following concept of weak Fixed Point Theory and Applications ... that g y of f, g, and h y Therefore, h y f y y ,y g y t −→ y That is y is a common fixed point Fixed Point Theory and Applications If y and z are two fixed points common to f, g, and h, then Fy,z ... Dordrecht, The Netherlands, 2001 14 O Hadˇ i´ and E Pap, “New classes of probabilistic contractions and applications to random zc operators,” in Fixed Point Theory and Applications (Chinju/Masan, 2001),...
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Báo cáo hóa học: " Research Article On Coincidence and Fixed-Point Theorems in Symmetric Spaces" ppt
... 2, 3, , Fixed Point Theory and Applications Remark 3.7 In the case of A B g and S T f in Theorem 3.4 resp., Theorem 3.5 , we can show that f and g have a coincidence point resp., f and g have ... Remark 3.3 In the case of A B g and S T f in Theorem 3.1 resp., Theorem 3.2 , we can show that f and g have a coincidence point resp., f and g have a unique common fixed point without making the ... 2 Fixed Point Theory and Applications We give another axiom for symmetric spaces and study their relationships in Section We give common fixed -point theorems of four mappings in symmetric...
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Báo cáo hóa học: "Research Article Strict Contractive Conditions and Common Fixed Point Theorems in Cone Metric Spac" docx
... coincidence and fixed -point theorems in symmetric spaces,” Fixed Point Theory and Applications, vol 2008, Article ID 562130, pages, 2008 19 M Imdad, J Ali, and L Khan, “Coincidence and fixed points ... limn → ∞ fxn fa and so fa ga < Hence, we have proved that f and g have a coincidence point a ∈ X and a point of coincidence ω ∈ X such that ω fa ga If ω1 is another point of coincidence, then ... fy , in this setting, condition 2◦ is a special case of 1◦ and 3◦ is a special case of 2◦ This is not the case in the setting of cone metric spaces, since for a, b ∈ P , if a and b are incomparable,...
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Báo cáo hóa học: " FIXED POINT THEOREMS IN GENERATING SPACES OF QUASI-NORM FAMILY AND APPLICATIONS " pptx
... and Schauder-Krasnoselskii, respectively Applications: fixed point theorems in probabilistic case and fuzzy case Throughout this section, We denote by L, R, Δ the mappings from [0,1] × [0,1] into ... 2 Fixed point theorems in generating spaces Definition 2.1 Let X be a linear space over E and θ the origin of X Let Q = | · |α : α ∈ (0,1] (2.1) be a family of mappings from X into [0,+∞) ... Groningen, 1978 [6] X Lin, Fixed- point theorems in probabilistic normed linear spaces, Journal of Mathematics (Wuhan) (1983), no 1, 73–82 (Chinese) [7] A N Serstnev, On the notion of a random...
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Báo cáo hóa học: " FIXED POINT THEOREMS IN CAT(0) SPACES AND R-TREES" ppt
... 537–558 J Reinermann and R Sch¨ neberg, Some results and problems in the fixed point theory for nono expansive and pseudocontractive mappings in Hilbert-space, Fixed Point Theory and Its Applications ... continuous mapping f : X → X has a fixed point Proof For u,v ∈ X we let [u,v] denote the (unique) metric segment joining u and v and let [u,v) = [u,v]\{v} We associate with each point x ∈ X a point ... vertex p0 , and which contains no in nite path Let f : G1 → G be an edge-preserving mapping, and suppose p does not lie W A Kirk 315 on the path joining p0 and f (p) for any boundary point p ∈ G1...
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Báo cáo toán học: " Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type" potx
... Lakshmikantham and Ciri´ [7] introduced the concept of coupled coincidence point and proved coupled coincidence and coupled common fixed point results for mappings F from X × X into X and g from X into ... , gxn ) (19) and Using the continuity of F and letting n → +∞ in (18) and (19), we get gx = F (x, y) and gy = F (y, x) This implies that (x, y) is a coupled coincidence point of F and g This completes ... of fixed point theorems in ordered metric spaces concerning generalized distance Fixed Point Theory Appl 2011, 30 (2011) doi:10.1186/16871812-2011-30 16 Karapinar, E: Couple fixed point theorems...
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Báo cáo hóa học: " Research Article Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces" pot
... xn en and Ax sets into relatively compact sets The mapping B is weakly continuous and nonexpansive Moreover, I − B is injective and A B M ⊆ M However, A B has no fixed point in M In the case where ... fixed point in M Proof Arguing exactly in the same way as in the proof of Theorem 2.5 and using 22, Theorem instead of Theorem 1.7 we get the desired result Now, we state the following fixed point ... U → C a condensing map Then either F has a fixed point in U or there is a point u ∈ ∂U and λ ∈ 0, with u λF u , here U and ∂U denote the closure of U in C and the boundary of U in C, respectively...
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Báo cáo hóa học: " Review Article Some Generalizations of Fixed Point Theorems in Cone Metric Space" pdf
... Then T has a unique fixed point in X And for any x ∈ X, iterative sequence {T n x} converges to the fixed point Rezapour and Hamlbarani improved on Theorems 1.8–1.10 by proving the same results without ... x 2.14 Fixed Point Theory and Applications Since X is sequentially compact, then it is compact 10 The fact that f is continuous and X is compact implies that f X is compact and hence inf{d x, ... metric spaces and fixed point theorems of contractive mappings,” Journal of Mathematical Analysis and Applications, vol 332, no 2, pp 1468–1476, 2007 M Abbas and G Jungck, “Common fixed point results...
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Báo cáo hóa học: " Research Article Applications of Fixed Point Theorems in the Theory of Generalized IFS" docx
... 2 Fixed Point Theory and Applications Let us mention some papers containing results on this direction Results concerning in nite iterated function systems have been obtained for the case when ... dense set in X, let K be a compact set in X, and let ε > Since f is uniformly continuous on K, there exists δ ∈ 0, ε/3 M such that if x, y ∈ K and dX x, y < δ, then ε dY f x , f y < 2.20 Since K ... chosen in K, we infer that fn → f on K, so u·c − fn −→ f 2.26 The inequality Lip f ≤ supn≥1 Lip fn is obvious From Lemma 2.11 and Proposition 2.12, using Proposition 2.7 ii we obtain the following...
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Báo cáo hóa học: "Research Article Some Coupled Fixed Point Theorems in Cone Metric Spaces" ppt
... Lakshmikantham in 10 introduced the concept of coupled fixed point of a mapping F : X × X → X Later in 11 Lakshmikantham ´ c and Ciri´ investigated some more coupled fixed point theorems in partially ordered ... said to be a coupled fixed point of the mapping F : X × X → X if F x, y x and F y, x y In the next theorems of this section, we investigate some coupled fixed point theorems in cone metric spaces Theorem ... y, v In this case, 0, and 1, are both coupled fixed points of F and hence the coupled fixed point of F is not unique This shows that the condition k < in corollary 2.12 and hence k l < in Theorem...
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Báo cáo hóa học: "FIXED POINT THEOREMS IN LOCALLY CONVEX SPACES—THE SCHAUDER MAPPING METHOD" docx
... dimensional provided dim(sp(Z)) < ∞ 4 Fixed point theorems The fixed point theorems Before passing to the proofs of Schauder-Tychonoff and Kakutani fixed point theorems, we will present the construction ... Banach space case) In [9] and [14] one proves first this variant of Schauder’s fixed point theorem in the Banach space case, by using uniform approximations of completely continuous nonlinear operators ... 2 Fixed point theorems extended to Banach spaces by Bohnenblust and Karlin [2], and to locally convex spaces by Glicksberg [7] Nikaido [15] gave a new proof of Kakutani’s theorem (in the case...
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Báo cáo hóa học: " On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces" pptx
... X closed and convex Assume U is a relatively open subset of C with Î U, F(U)bounded and F : U → C a condensing mapping Then, either F has a fixed point in U or there is a point u Î ∂U and l Î ... taking into account that Î U and using assumption (iv), we infer that Fn map Uw into C Next, we suppose that (3.19) does not occur, and Fn does not have a fixed point on ∂QU (otherwise we are finished ... Taoudi, MA: Browder-Krasnoselskii type fixed point theorem in Banach space Fixed Point Theory Appl (2010) Agarwal, RP, Mehan, M, O’Regan, D: Fixed Point Theory and Applications Cambridge University...
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Báo cáo hóa học: " Research Article Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces" potx
... property and coincidence point theorems, ” Fixed Point c Theory, vol 9, no 2, pp 487–496, 2008 24 O Hadˇ i´ and E Pap, Fixed Point Theory in Probabilistic Metric Spaces, vol 536 of Mathematics and ... fixed point of the mapping F : X × X → X if F x, y x, F y, x y 2.13 Fixed Point Theory and Applications Definition see An element x, y ∈ X × X is called a coupled coincidence point of the mappings ... and for all x, y ∈ X and t > 0, M x, y, t t/ t d x, y Then X, M, ∗ is a fuzzy metric space We call this fuzzy metric M induced by the metric d the standard fuzzy metric Fixed Point Theory and...
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Báo cáo hóa học: "COINCIDENCE AND FIXED POINT THEOREMS FOR FUNCTIONS IN S-KKM CLASS ON GENERALIZED CONVEX SPACES" pot
... Suppose s : X → Y and T ∈ s-KKM(X,Y ,Y + C) satisfy the following conditions (3.6.1), (3.6.2) and any one of (3.6.3), (3.6.3) and (3.6.3) Coincidence and fixed point theorems in S-KKM class (3.6.1) ... ,Z) satisfy the Coincidence and fixed point theorems in S-KKM class following conditions: (3.2.1) T is compact; (3.2.2) for any y ∈ D, W(y) ⊆ H(y) and W(y) is compactly open in Z; (3.2.3) for ... multimaps in ᏸ Park and Kim [12] introduced the class U to be the one satisfying (a) U contains the class Ꮿ of (single-valued) continuous functions; (b) each T ∈ Uc is upper semicontinuous and compact-valued;...
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Báo cáo toán học: " Fixed point theorems for contraction mappings in modular metric spaces" pptx
... Kadec–Klee property in modular spaces and application to fixed point theory J Interdisciplinary Math 8, 377–385 (2005) [25] Kumam, P: Fixed point theorems for nonexpansive mapping in modular spaces ... u) = T u, so T u is a fixed point of T N By the uniqueness of fixed point of T N , we have T u = u Thus, u is a fixed point of T Since fixed point of T is also fixed point of T N , we can conclude ... (2004) [26] Mongkolkeha, C, Kumam, P: Fixed point and common fixed point theorems for generalized weak contraction mappings of integral type in modular spaces Int J Math Math Sci 2011, Article ID...
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Báo cáo toán học: " Fixed point theorems for w-cone distance contraction mappings in tvs- cone metric spaces" docx
... versions of fixed point theorems in K-metric spaces and scalar versions of fixed point theorems in metric spaces He showed that many of the fixed point theorems for mappings satisfying contractive ... Takahashi, W: Minimization theorems and fixed point theorems, in Nonlinear Analysis and Mathematical Economics, (Maruyama T, Ed.), RIMS Kokuroku 829, pp 175–191 ´ c Ume, JS: Fixed point theorems related ... W: Nonconvex minimization theorems and fixed point theorems in complete metric spaces Math Japon 44, 381–591 (1996) Du, WS: Fixed point theorems for generalized hausdorff metrics Int Math Forum...
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Báo cáo hóa học: " Some fixed point theorems for contractive multivalued mappings induced by generalized distance in metric spaces" pptx
... W: Nonconvex minimization theorems and fixed point theorems in complete metric spaces Math Japonica 44(2), 381–391 (1996) Sintunavart, W, Kumam, P: Coincidence and common fixed points for hybrid ... ) In fact, by using this process, we can obtain a sequence {vn} in X such that vn+1 Î T (vn) and Hirunworakit and Petrot Fixed Point Theory and Applications 2011, 2011:78 http://www.fixedpointtheoryandapplications.com/content/2011/1/78 ... a and d: X × X ® [0, ∞) be a usual metric Let us consider a mapping T: X ® X, which is defined by Hirunworakit and Petrot Fixed Point Theory and Applications 2011, 2011:78 http://www.fixedpointtheoryandapplications.com/content/2011/1/78...
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