On set-valued contractions of Nadler type in tυs-G-cone metric spaces
Department of Applied Mathematics, National Hsinchu University of Education, No. 521 Nanda Rd., Hsinchu City 300, Taiwan
Fixed Point Theory and Applications 2012, 2012:52 doi:10.1186/1687-1812-2012-52Published: 26 March 2012
In this article, for a tυs-G-cone metric space (X, G) and for the family of subsets of X, we introduce a new notion of the metric with respect to G, and we get a fixed result for the stronger Meir-Keeler-G-cone-type function in a complete tυs-G-cone metric space Our result generalizes some recent results due to Dariusz Wardowski and Radonevic' et al.
MSC: 47H10; 54C60; 54H25; 55M20.