Schauder’s Fixed Point Theorem
On Krasnoselskii's Cone Fixed Point Theorem
... Schauder’s fixed point theorem to prove the Leray-Schauder fixed point ...Brouwer-Schauder theorem and applied it to obtain existence results of boundary value ...
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Controllability of Fractional Control Systems Using Schauder Fixed Point Theorem
... fractional s in finite dimensional space is discussed in dy the controllability of nonlinear fractional dynamic systems in general from by using the Schauder fixed point ...
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The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
... ([1], Schauder Fixed point theorem for semilinear spaces) Let B be a nonempty, closed, bounded and convex subset of a semilinear Banach space S having the cancelation property, and ...
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Existence and approximate solutions of nonlinear integral equations
... amount of work has been done in the existence and uniqueness of solutions of some special cases of Volterra integral equations, see for example [3, 6, 10, 18]. Under some conditions on the function g(t,s,x) and by ...
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Fixed point theorems in locally convex spaces—the Schauder mapping method
... that Schauder mapping method can be adapted to yield a proof of Kakutani fixed point theorem in locally convex ...of Schauder-Tychono ff theorem which is essentially Singbal’s ...
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A note on Krasnosel’skii fixed point theorem
... fixed point theorem covering such cases which combines the Banach contraction mapping principle and Schauder’ s fixed point ...fixed point for the sum of two operators of the ...
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Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature
... In 7, the statement of Theorem 1.5 was mentioned without any reference and used to extend two others important results in convex analysis: the Knaster-Kuratowski- Mazurkievicz lemma and Fan’s minimax inequality. ...
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Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces
... Quite recently the concepts of l-intuitionistic fuzzy compact set and strongly intuitionistic fuzzy uniformly convex normed space are studied, and Schauder fixed point theorem in ...
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Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
... in S. If S is a semilinear metric space, then addition and scalar mul- tiplication on S are ...If S is a complete metric space, then we say that S is a semilinear Banach ...space ...
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A Schauder fixed point theorem in semilinear spaces and applications
... Proof By Theorem ., there exists an embedding j : S → G. Let B be a nonempty, closed, bounded and convex subset of S. Since j is isometry, it follows that j(B) is also a closed and bounded subset ...
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New generalizations of Darbo’s fixed point theorem
... the Schauder fixed point theorem plays an important role in nonlinear ...fixed point property for α-set contraction on a closed, bounded and convex subset of Banach spaces in terms of the ...
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A Generalization of Kannan's Fixed Point Theorem
... a fixed point. It is interesting that Kannan’s theorem is independent of the Banach contraction principle ...Kannan’s fixed point theorem is very important because Subrahmanyam 3 ...
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A fixed point theorem for analytic functions
... as one can readily check by using relations (2.6) and (2.7) (see also Figure 2.1 which illustrates the equality above). The fact that such holomorphic self-maps exist can be checked by using Pick’s interpolation ...
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A Fixed Point Theorem Based on Miranda
... Figure 2.1. In both pictures the thick line is the graph of a function y = g(x), x ∈ Ω. In the left pic- ture, Ω = [ − L, L] and g( − L) < 0, g(L) > 0. According to Corollary 1.2 g(x) has a zero in Ω. However, g(x) ...
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A Suzuki Type Fixed Point Theorem
... In addition to the above results, Kikkawa and Suzuki 7 provide a Kannan type version of the theorems mentioned before. In 8, it is provided a Chatterjea type version. Popescu 9 gives a Ciric type version. Recently, ...
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On Jungck's common fixed point theorem
... Example 3.1. Let X = [−1, 1] equipped with the usual metric and f and g as defined in Ex- ample 2.1. Clearly, the mappings are weakly compatible as f g0 = g f 0, and 0 is their point of coincidence. In fact, 0 is ...
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FIXED POINT THEOREM IN MENGER SPACE
... &and Head V. H. Badshah and Reader , S. K. Tiwari, School of SStudies in Mathematics Vikram University, Ujjain (M.P.) India, F for their cooperation and valuable suggestions in the p preparation of this paper. ...
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An Extension of Gregus Fixed Point Theorem
... As observed by Chidume [5, page 119], since the four points { x, y,Tx,T y } of (1.2) determine six distances in X, the inequality amounts to say that the image distance d(Tx, T y) never exceeds a fixed convex ...
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Existence of positive solution to a class of boundary value problems of fractional differential equations
... fixed point the- orems of nonlinear alternative of Leray-Schauder and Banach Contraction principle, sufficient conditions are developed under which the proposed problem has at least one ...
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A fixed point theorem in modular metric spaces
... [8] V. V. Chistyakov, Modular metric spaces generated by F-modulars, Folia Math. 14 (2008), 3-25. [9] V. V. Chistyakov, Modular metric spaces I. basic conceps, Nonlinear Anal. 72 (2010), 1-14. [10] V. V. Chistyakov, ...
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