MATHEMATICAL ENGINEERING TECHNICAL REPORTS Discrete Fixed Point Theorem Reconsidered

نویسندگان

  • Takuya IIMURA
  • Kazuo MUROTA
  • Akihisa TAMURA
چکیده

The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura’s discrete fixed point theorem [J. Mathematical Economics 39 (2003) 725] and to present a corrected statement using the concept of integrally convex sets.

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

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Sperner’s Lemma and the Existence of Zero on the Discrete Simplex and Simplotope

In this paper we show a zero point theorem for a certain meaningful class of correspondences on a discrete simplex, which is equivalent to Sperner’s lemma [Abh. Math. Sem. Univ. Hamburg 6 (1928) 265]. Also, we show a zero point theorem for correspondences on a discrete simplotope, which is derived from a Sperner-like theorem on the simplotope by van der Laan and Talman [Math. Oper. Res. 7 (1982...

متن کامل

On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $alpha $-admissible

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

متن کامل

FIXED POINT THEOREM ON INTUITIONISTIC FUZZY METRIC SPACES

In this paper, we introduce intuitionistic fuzzy contraction mappingand prove a fixed point theorem in intuitionistic fuzzy metric spaces.

متن کامل

A common fixed point theorem on ordered metric spaces

A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.

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 2004