Ann. Funct. Anal. 3 (2012), no. 2, 155–169
A nnals of F unctional A nalysis
ISSN: 2008-8752 (electronic)
URL: www.emis.de/journals/AFA/
FIXED POINT AND COMMON FIXED POINT THEOREMS
FOR THE MEIR-KEELER TYPE FUNCTIONS IN CONE
BALL-METRIC SPACES
CHIMING CHEN∗ , PEISHAN TSAI
Communicated by H.-K. Xu
Abstract. In this paper, we define a new cone ball-metric and get fixed points
and common fixed points for the Meir-Keeler type functions in cone ball-metric
spaces.
Department of Applied Mathematics, National Hsinchu University, of Education, Taiwan.
E-mail address: ming@mail.nhcue.edu.tw
E-mail address: g10024212@mail.nhcue.edu.tw
Date: Received: 2 November 2011; Accepted: 26 May 2012.
∗
Corresponding author.
2010 Mathematics Subject Classification. Primary 47H10; Secondary 54H25, 55M20.
Key words and phrases. Meir-Keeler type mapping, cone ball-metric space; common fixed
point theorem; fixed point theorem.
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