Báo cáo hóa học: " On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces" pptx
Báo cáo hóa học: " On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces" pptx
... results concerning the existence of fixed point s for a sum of non-expansive and continuous mappings and also a sum of asymptotically nonexpansive and continuous mappings in locally convex spaces. ... Arunchai and Plubtieng: On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces. Journal of Inequalities and Applications2011 ... 2011:28http://www.journalofinequalitiesandapplications.com/content/2011/1/28Page 3 of 11RESEARC H Open Access On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spacesAreerat Arunchai and Somyot...
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Báo cáo hóa học: " Research Article Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type" pdf
... case of one of the results on owc maps. In this paper, we show that the same is true for the theorems involving fourmaps, in which two of them are multivalued and for which the contractive condition ... also assumed that there was a point in X with bounded orbit.If there exists points x, y in X for which d(Tx,Ty)≥ M(x, y), then one obtains acontradiction to (2.28). Therefore for all x, y in X,d(Tx,Ty) ... Introduction and preliminaries The study of fixed point theorems, involving four single-valued maps, began with the assumption that all of the maps commuted. Sessa [1] weakened the condition of com-mutativity...
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Báo cáo hóa học: " Research Article Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space" potx
... 2 Fixed Point Theory and ApplicationsAll results are proved in the settings of a solid cone, without the assumption of continuity of mappings. The paper is organized as follows. In Section ... ageneralization of a cone metric space and prove some common fixed point theorems for four mappings in those spaces. Obtained results are generalization of theorems proved in 13 .For some special ... d,thatis,d 0. Then x y 0, and z 0 is the unique common fixed point of thesefour mappings. The following two theorems can be proved in the same way asTheorem 3.1,soweomit the proofs.Theorem...
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Báo cáo hóa học: "Research Article Common Fixed Point Theorems for Weakly Compatible Pairs on Cone Metric Spaces" ppt
... self-maps of a set X. If f and g have aunique point of coincidence w fx gx, then w is the unique common fixed point of f and g.2. Main Results In this section we will prove some fixed point theorems ... comments. The second, third, and fourth authorsthank the Ministry of Science and the Ministry of Environmental Protection of Serbia for theirsupport. Fixed Point Theory and Applications 9whereu ... q1.Since q fpgp is the unique point of coincidence of f and g, and f and gare weakly compatible, q is the unique common fixed point of f and g by Proposition 1.121. In the next theorem,...
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Báo cáo hóa học: " Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications" docx
... Suzuki [3], and therefore of the Kannan fixed point theorem [4] for gen-eralized Kannan mappings. Also, it is the generalization of the Theorem 2.1 of Damja-nović and Đorić [13].From the Corollary ... generalizations of the Nadler’ s theorem (see [6-9]). One of the general fixed point theorems for a gener-alized multivalued mappings appears in [10]. The following result is a generalization of Nadler ... fixed point, multivalued mapping, functionalequation1 Introduction and preliminaries In 2008 Suzuki [1] introduced a new ty pe of mappings which generalize the well-known Banach contraction...
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Báo cáo hóa học: " Research Article A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation" pdf
... were the first to provide applications of stabilitytheory of functional equations for the proof of new fixed point theorems with applications. Byusing fixed point methods, the stability problems of ... ftx is continuous in the real variable t for each fixed x ∈ E, then L : E → Eis R-linear, and if f is continuous at asingle point of E, then L : E → Eis also continuous. Hyers’ theorem ... inequality 3.3 holds. The rest of the proof is similar to that of the proof of Theorem 2.1.14 Fixed Point Theory and ApplicationsProof. The proof follows from Theorem 2.5 by takingϕx, y:...
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Báo cáo hóa học: "Research Article A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus" pptx
... clever idea, they could present a short and simple proof for the stability of the Cauchy functional equation. In 20, Gronau investigated the solutions of the Theodorus functional equationfx ... 2 Fixed Point Theory and Applications In 2003, C˘adariu and Radu 15 applied the fixed point method to the investigation of Jensen’s functional equation see 16–19. Using such a ... monotonic and argfx is monotonic and continuous, then f is the Theodorus function.Theorem 1.3. If f : −1, ∞ → C is a solution of 1.1 such that f01, |fx| and argfx aremonotonic and...
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Báo cáo hóa học: " Research Article A Fixed Point Approach to the Stability of a Volterra Integral Equation" pptx
... to include the in nity.We now introduce one of the fundamental results of fixed point theory. For the proof,we refer to [11]. This theorem will play an important role in proving our main theorems. Theorem ... by(Λh)(x)=xcfτ,h(τ)dτ (2.14) for all h∈ X and x ∈ I. Then, according to the fundamental theorem of Calculus, Λh iscontinuously differentiable on I, since f is a continuous function. Hence, we concludethat ... defineϕ(x)=⎧⎨⎩ρeαx (for x ≥ 0),ρe−αx (for x<0)(2.30) for all x∈ R, then the continuous function ϕ satisfies the condition (2.3)withc= 0, for all x ∈ R.3. Hyers-Ulam stability In the following theorem,...
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Báo cáo hóa học: "Research Article Common Fixed Point Theorems in Menger Probabilistic Quasimetric Spaces" ppt
... every Cauchysequence in X is convergent to a point in X. In 1998, Jungck and Rhoades 16 introduced the following concept of weakcompatibility. Fixed Point Theory and Applications 9dgf2···fnf2···fng,gf3···fnf3···fng,...gfn ... (a), (b), and (c) of Theorem 2.2. If∞i1aitλ< ∞ then there exists a uniquecommon fixed point for the mapping f, g, and h.6 Fixed Point Theory and ApplicationsTheorem 2.2. Let ... Fixed Point Theory and Applications 3ii If T is continuous and T ∈H, then there exists a sequence bnn∈Nas in i .The t-norm TMis an trivial example of a t-norm of H-type, but there...
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Báo cáo hóa học: " Research Article Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces" potx
... 2.23 and the relation 2.18 follows. The reminder of proof is the same as in the corresponding part of Theorem 2.1. This completes the proof.2 Journal of Inequalities and Applications of T ... Journal of Inequalities and ApplicationsProof. As shown in the proof lines of Theorem 3.1, ∂f : H → H is a maximal monotone opera-tor, and so the conclusion of Theorem 3.2 follows from Theorem ... Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert SpacesYeol Je Cho,1Shin Min Kang,2 and Haiyun Zhou31Department of Mathematics Education and the RINS, Gyeongsang National...
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