Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
By Yuqiang Feng, Sanyang Liu. 2006
316 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/c002cd212c504e3f4a92d811661b9c5565d1d36e
How researchers see this paper
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In Computational Theory and Mathematics
- Ljubomir Ciric
- Dariusz Wardowski
- C. Chifu
- Gabriela Petrusel
- Stojan Radenovic
- Hassen Aydi
- Jong-Sook Bae
- Seong-Hoon Cho
In Geometry and Topology
- Ljubomir Ciric
- Stojan Radenovic
- Jong-Sook Bae
- Seong-Hoon Cho
- Hassen Aydi
- Weicheng Mao
- Yuqiang Feng
- Dariusz Wardowski
Citations in the corpus
- Fixed point theorems for multi-valued contractions in complete metric spaces (2008, methodology): “The aim of this paper is to present more general results which unify and generalize the corresponding results of Mizoguchi and Takahashi [7], Feng and Liu [5] and Klim and Wardowski [6].”
- Fixed point theorems for set-valued contractions in complete metric spaces (2007, background): “141 (1989) 177–188; Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math.”
- THE EQUIVALENCE OF CONE METRIC SPACES AND METRIC SPACES (2010, background): “For this reason, it has been extended in many directions, for example, see [3, 11, 2, 5, 4] and references therein.”
- Generalized contractions in metric spaces endowed with a graph (2012, background): “X/ is a multivalued operator and > 0, then we denote X D ¹x 2 X W D.x; T .x// < and there exists x0 2 X with x 2 T .x0/ and .x0; x/ 2 E.G/º: The next result is a redevelopment of Feng and Liu’s theorem in the graph context ([6]).”
- Fixed point theorems for multivalued maps in cone metric spaces (2011, background): “Because of its importance for mathematical theory, Banach contraction principle has been extended in many direction (see [1-8]).”
- ON H+Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces (2019, background): “Many authors contributed significantly to this (cf. Feng and Liu [2], Kaneko [3], Klim and Wardowski [4], Aydi et al. [5,6], Lim [7], Dozo [8], Mizoguchi and Takahasi [9], etc.).”