Article ID Journal Published Year Pages File Type
841680 Nonlinear Analysis: Theory, Methods & Applications 2011 8 Pages PDF
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) 176–182], Jungck and Rhoades [G. Jungck and B. E. Rhoades, Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2) (2006) 287–296. Fixed Point Theory 9 (2008) 383–384 (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) 351–355] 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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, , ,