Fixed point theorems for generalized nonexpansive set-valued mappings in cone metric spaces
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Abstract. In 2007, Huang and Zhang [1] introduced a cone metric space with a cone metric generalizing the usual metric space by replacing the real numbers with Banach space ordered by the cone. They considered some fixed point theorems for contractive mappings in cone metric spaces. Since then, the fixed point theory for mappings in cone metric spaces has become a subject of interest in [1-6] and references therein. In this paper,we consider some fixed point theorems for generalized nonexpansive set-valued mappings under suitable conditions in sequentially compact cone metric spaces and complete cone metric spaces.
Abstract
Abstract. In 2007, Huang and Zhang [1] introduced a cone metric space with a cone metric generalizing the usual metric space by replacing the real numbers with Banach space ordered by the cone. They considered some fixed point theorems for contractive mappings in cone metric spaces. Since then, the fixed point theory for mappings in cone metric spaces has become a subject of interest in [1-6] and references therein. In this paper,we consider some fixed point theorems for generalized nonexpansive set-valued mappings under suitable conditions in sequentially compact cone metric spaces and complete cone metric spaces.
참고문헌 (6)
- L. G. Huang, "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl, 332, pp.1468~1476 (2007)
- D. Wardowski, "On set-valued contractions of Nadler type in cone metric spaces", Appl. Math. Lett, 24, pp.275~278 (2011)
- I. Altun, "Fixed point and common fixed point theorems on ordered cone metric spaces", Appl. Math. Lett, 23, pp.310~316 (2010)
- D. Ilic, "Quasi-contraction on a cone metric space", Appl. Math. Lett, 22, pp.728~731 (2009)
- D. Klim, "Dynamic processes and xed points of set-valued nonlinear contraction in cone metric spaces", Nonlinear Anal, 71, pp.5170~5175 (2009)
- B. C. Choudhury, "Fixed points of weak contractions in cone metric spaces", Nonlinear Anal, 72, pp.1589~1593 (2010)