A note on tvs-cone metric fixed point theory

作者：Radenovic Stojan^*; Simic Suzana; Cakic Nenad; Golubovic Zorana

来源：Mathematical and Computer Modelling, 2011, 54(9-10): 2418-2422.

DOI：10.1016/j.mcm.2011.05.051

• Tvs-cone metric
• Tvs-cone metric space
• Fixed point
• Nadler's fixed point theorem
• Locally convex space

In this paper, the concept of set-valued contraction of Nadler type in the setting of tvs-cone spaces was introduced and a fixed point theorem in the setting of tvs-cone spaces with respect to a solid cone was proved. Obtained results extend and generalize the main results of [S. B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475-488] and [D. Wardowski, On set-valued contractions of Nadler type in cone metric spaces, Applied Mathematics Letters 24 (2011) 275-278]. Two examples are given to illustrate the usability of the results.

• 出版日期2011-11