Abstract
Suzuki contraction theorem (Proc. Amer. Math. Soc. 136(5) (2008); [109] (cf. also Singh and Mishra (Nonlinear Anal. 74(6) (2011); [98]))) is a new kind of forceful generalization of the classical Banach contraction theorem. Another interesting generalization of the Banach contraction theorem has been obtained by Proinov Nonlinear Anal. 64(2006); [77]. The purpose of this survey article is to present some Suzuki and Proinov type fixed point theorems mainly for multivalued and hybrid mappings in the context of metric fixed point theory. Some new results are also given.
| Original language | English |
|---|---|
| Title of host publication | Recent Advances in Fixed Point Theory and Applications |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 57-82 |
| Number of pages | 26 |
| ISBN (Electronic) | 9781536121049 |
| ISBN (Print) | 9781536120851 |
| Publication status | Published - 1 Jan 2017 |
| Externally published | Yes |
Keywords
- Coincidence point
- Cyclic contraction
- Fixed point
- Hybrid contraction
- Multivalued contraction
- Proinov contraction
- Semi-quasi contraction
- Suzuki contraction
ASJC Scopus subject areas
- General Mathematics