- 期刊
A FIXED POINT THEOREM FOR NON-SELF SET-VALUED MAPPINGS
摘要
Let X be a complete, metrically convex metric space, K a closed convex subset of X, CB(X) the set of closed and bounded subsets of X. Let F: K→CB(X) satisfying definition (1) below, with the added condition that Fx ⊆ K for each x ∈ ∂K. Then F has a fixed point in K. This result is an extension to multivalued mappings of a result of Ćirić [1].
延伸閱讀
- Taniguchi, T. (1991). A COMMON FIXED POINT THEOREM FOR TWO SEQUENCES OF SELF-MAPPINGS. International Journal of Mathematics and Mathematical Sciences, 1991(), 417-420. https://doi.org/10.1155/S0161171291000546
- Fuster, E. L., & Gálvez, E. M. (2011). The Fixed Point Theory for Some Generalized Nonexpansive Mappings. Abstract and Applied Analysis, (2011), 1604-1618. https://doi.org/10.1155/2011/435686
- KANEKO, H., & SESSA, S. (1989). FIXED POINT THEOREMS FOR COMPATIBLE MULTI-VALUED AND SINGLE-VALUED MAPPINGS. International Journal of Mathematics and Mathematical Sciences, 1989(), 257-262. https://doi.org/10.1155/S0161171289000293
- Liu, Z., Wu, Z., Kang, S. M., & Lee, S. (2012). Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings. Journal of Applied Mathematics, 2012(), 786-798-646. https://doi.org/10.1155/2012/786061
- Sehgal, V. M. (1982). A FIXED POINT THEOREM FOR CONTRACTION MAPPINGS. International Journal of Mathematics and Mathematical Sciences, 1982(), 301-304. https://doi.org/10.1155/S0161171282000271