The Solution by Iteration of Linear Functional Equations in Banach Spaces by F. E. Browder and W. v. Petryshyn

نویسنده

  • Weishu Shih
چکیده

1. M. Arkowitz and C. Curjel, The group of homotopy équivalences of a space, Bull. Amer. Math. Soc. 70 (1964), 293-296. 2. Sze-tsen Hu, Homotopy theory. Academic Press, New York, 1959. 3. L. K. Hua and I. Reiner, On the generators of the symplectic modular group, Trans. Amer. Math. Soc. 65 (1949), 415-426. 4. P. J. Kahn, Characteristic numbers and oriented homotopy type, Topology 3 (1965), 81-95. 5. P. Olum, Self-equivalences of pseudo-projective planes, Topology 4 (1965), 109127. 6. D. Puppe, Homotopiemengen und ihre induzierten Abbildungen. I, Math, Z. 69 (1958), 299-344. 7. Weishu Shih, On the group S[X] on homotopy equivalence maps, Bull. Amer. Math. Soc. 70 (1964), 361-365. 8. C. T. C. Wall, Classification of (n — l)-connected 2n-manifolds, Ann. of Math. (2) 75 (1962), 163-182.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Strong Convergence Theorems of the Ishikawa Process with Errors for Strictly Pseudocontractive Mapping of Browder-Petryshyn Type in Banach Spaces

We prove several strong convergence theorems for the Ishikawa iterative sequence with errors to a fixed point of strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces and give sufficient and necessary conditions for the convergence of the scheme to a fixed point of the mapping. The results presented in this work give an affirmative answer to the open question raised by Z...

متن کامل

The Solution by Iteration of Nonlinear Functional Equations in Banach Spaces

In a preceding note on the linear case [8], we established the following facts for linear T: (a) If X is reflexive and T is asymptotically bounded (i.e. || T\\ ^ M for some constant M and all nèzl), then the Equation (1) has a solution u for a given ƒ if and only if for any specific #o> the sequence of Picard iterates {xn} starting with x0 is bounded in X (see [2]). (b) For a general Banach spa...

متن کامل

2-Banach stability results for the radical cubic functional equation related to quadratic mapping

The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$fleft(sqrt[3]{ax^{3}+by^{3}}right)+fleft(sqrt[3]{ax^{3}-by^{3}}right)=2a^{2}f(x)+2b^{2}f(y),;; x,yinmathbb{R},$$for a mapping $f$ from $mathbb{R}$ into a vector space. We also investigate some stability and hyperstability results for...

متن کامل

Ishikawa Iteration with Errors for Approximating Fixed Points of Strictly Pseudocontractive Mappings of Browder-Petryshyn Type

Let q > 1 and E be a real q−uniformly smooth Banach space. Let K be a nonempty closed convex subset of E and T : K → K be a strictly pseudocontractive mapping in the sense of F. E. Browder and W. V. Petryshyn [1]. Let {un} be a bounded sequence in K and {αn}, {βn}, {γn} be real sequences in [0,1] satisfying some restrictions. Let {xn} be the bounded sequence in K generated from any given x1 ∈ K...

متن کامل

Approximate mixed additive and quadratic functional in 2-Banach spaces

In the paper we establish the general solution of the function equation f(2x+y)+f(2x-y) = f(x+y)+f(x-y)+2f(2x)-2f(x) and investigate the Hyers-Ulam-Rassias stability of this equation in 2-Banach spaces.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007