Abstract
Some common fixed point theorems due to Bhatt et al. [A. Bhatt, et al., Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions, Nonlinear Anal. 73 (2010) 176182], Jungck and Rhoades [G. Jungck and B. E. Rhoades, Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2) (2006) 287296. Fixed Point Theory 9 (2008) 383384 (erratum)] and Imdad and Soliman [M. Imdad, A.H. Soliman, Some common fixed point theorems for a pair of tangential mappings in symmetric spaces, Appl. Math. Lett. 23 (2010) 351355] are extended to two new classes of non-commuting selfmaps which contain the occasionally weakly compatible and weakly biased selfmaps as proper subclasses. Some illustrative examples are also provided to highlight the realized improvements.
| Original language | English |
|---|---|
| Pages (from-to) | 2133-2140 |
| Number of pages | 8 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 74 |
| Issue number | 6 |
| DOIs | |
| State | Published - 15 Mar 2011 |
Bibliographical note
Funding Information:The authors are grateful to the referees for their critical remarks for improving this paper. The first author gratefully acknowledges the support provided by DSR, King Abdulaziz University during this research.
Keywords
- Banach operator pair
- Dynamic programming
- Jℋ-operators
- Occasionally weakly biased pair
- Symmetric space
- Weakly biased pair
- ℘-operators
ASJC Scopus subject areas
- Analysis
- Applied Mathematics