[PDF] Top 20 On characterizations of fixed points

... fixed points of a family of self mappings of a metric space and we establish an equivalent condi- tion for the existence of fixed points of a continuous compact mapping of a metric ... See full document

... of fixed points of non- expansive mappings in Banach ...of fixed points of a nonexpansive mapping and some mapping generated by a Banach limit ... See full document

... Recently, Romaguera [9] proved that a partial metric space (X, p) is 0-complete if and only if every Caristi type mapping on X has a fixed point. The result of Romaguera extended Kirk’s [[r] ... See full document

... (at points with rational torus coordinates). While those fixed points have coordinates involving cos(2π k/n), the expressions for the curves will involve Chebyshev ... See full document

... We would define the complete metric space of bounded continuous functions which agree with ψ and use the above equation for x to define a mapping. That mapping would be a contraction because of (3.32). We would complete ... See full document

... cipher can have a lot of isomorphic basic transformations as well as full encryption procedures. The cipher BES is a well-known example of iso- morphic AES [9]. Another example of isomorphic AES is the description of ... See full document

... Let K be a nonempty convex subset of a real normed linear space E. For strict contrac- tion self-mappings of K into itself, with a fixed point in K, a well-known iterative method ‘the celebrated Picard method’ has ... See full document

... Nadler’s fixed point result without using the concept of Hausdorff ...the fixed point result of Suzuki and Takahashi 9, Theorem ...and fixed point results concerning w-distance can be found in 6, ... See full document

... fixed points set F(T ) in D will be said to satisfy condition A [2, 4] if there is a nondecreasing function f : [0,∞) → [0,∞) with f (0) = 0, f (r ) > 0 for r ∈ (0,∞), such that x − Sx ≥ f (d(x,F(T ))) for all x ... See full document

... In this paper, a semi-local convergence analysis of the Gauss-Newton method for convex composite optimization is presented using the concept of quasi-regularity in order to approximate fixed points in optimization. ... See full document

... Not so much attention has been paid to shrinking maps; indeed the following questions are open. Let M be a weakly compact convex of a Banach space and let T : M → M be a shrinking mapping. Must T have a fixed ... See full document

... Since A is an increasing operator, this implies that Fix A ⊂ Au ∗ , v ∗ and u ∗ , v ∗ includes properly Au ∗ , v ∗ . This contradicts that u ∗ , v ∗ is the minimal element of S. Similarly, v ∗ is a fixed point of ... See full document

... On the other hand, if the hypotheses of Theorem 3.4 hold and x ∈ Ca\{a, x ∗ }, then x and Gx are not necessarily comparable. The successor of such an x in Ca is sup{x, Gx} by 14, Proposition 5. In such a case the chains ... See full document

... are in the kernel of h. But that would have eliminated these fixed points, so we have proved that z 1 is not a solution to 5.8. The argument that there is no solution z to 5.8 with |z| ≥ 1 depends on word ... See full document

... obtain fixed point results for multivalued generalized w-contractive maps not involving the extended Hausdorff ...of fixed point results including the corresponding results of Feng and Liu 3, Latif and Albar ... See full document

... asymptotic fixed point theory, in which the existence of the fixed points is deduced from the assumption on the iterates of an operator ...totic fixed point theorem concerning nonlinear ... See full document

... Our result rests on a fixed point theorem of Schaefer [12]. Its relation to Leray- Schauder degree theorem is explained in Smart [13, page 29]. Schaefer’s theorem has been used in a variety of areas in differential ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... HADZIC, 01ga Common fixed point theorems for family of mappings in complete metric spaces.[r] ... See full document