Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Jeong Sheok Ume"'
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 13, Iss 1, Pp 17-30 (2019)
In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of
Externí odkaz:
https://doaj.org/article/2fa66135867e492fbdc4ec8c6a61b51f
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 70, Pp 3849-3857 (2004)
Externí odkaz:
https://doaj.org/article/925c328293d2437dbf8546acc1daf381
Autor:
Hee Soo Park, Jeong Sheok Ume
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 53, Pp 2809-2819 (2004)
Using the concept of D-metric we prove some common fixed point theorems for generalized contractive mappings on a complete D-metric space. Our results extend, improve, and unify results of Fisher and Ćirić.
Externí odkaz:
https://doaj.org/article/0a58a9a9b3584db29d424f711c1b2c81
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 4, Pp 199-207 (2003)
The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities
Externí odkaz:
https://doaj.org/article/25f112e1a9da4eb08144d480ea5d11e7
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 11, Pp 661-672 (2003)
A general procedural lemma for fixed-point theorems for three and four maps in a D-metric space is proved, and it is further applied for proving the common fixed-point theorems of three and four maps in a D-metric space satisfying certain contractive
Externí odkaz:
https://doaj.org/article/2237599826074bfe98bed7edf9a8f754
Autor:
Jeong Sheok Ume
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 31, Iss 7, Pp 443-447 (2002)
We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland's ϵ-variational principle.
Externí odkaz:
https://doaj.org/article/01bba97d05b54c57ba7ee86a383f45b5
Autor:
Jeong Sheok Ume, Sucheol Yi
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 10, Pp 605-611 (2002)
Using the concept of a w-distance, we obtain common fixed point theorems on complete metric spaces. Our results generalize the corresponding theorems of Jungck, Fisher, Dien, and Liu.
Externí odkaz:
https://doaj.org/article/0d29cc6cb33544df93855c498a2a46ff
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 6, Pp 319-325 (2002)
Using the concept of w-distance, we improve some well-known fixed point theorems.
Externí odkaz:
https://doaj.org/article/cbb0121f4487465a9a1362e2c91bdfff
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 10, Pp 593-604 (2002)
We introduce and study a new class of completely generalized multivalued nonlinear quasi-variational inclusions. Using the resolvent operator technique for maximal monotone mappings, we suggest two kinds of iterative algorithms for solving the comple
Externí odkaz:
https://doaj.org/article/95df40e5995d468d930926c8a4e3b708
Iterative solutions of K-positive definite operator equations in real uniformly smooth Banach spaces
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 3, Pp 155-160 (2001)
Let X be a real uniformly smooth Banach space and let T:D(T)⫅X→X be a K-positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx=f, f
Externí odkaz:
https://doaj.org/article/5ff888a9cb0141fe9cd0d11cbe0dae6b