Fixed point theorems for occasionally weakly compatible expansive mappings. (English) Zbl 1270.47043

Jain, Mukesh Kumar; Rhoades, B. E.; Saluja, A. S.

J. Adv. Math. Stud. 5, No. 2, 54-58 (2012).

Summary: G. Jungck and B. E. Rhoades [Fixed Point Theory 7, No. 2, 287–296 (2006); erratum ibid. 9, No. 1, 383–384 (2008; Zbl 1118.47045)] proved a very general theorem for occasionally weakly compatible (owc) mappings. In this paper, we establish a general result for expansive owc mappings.

MSC:

47H10

Fixed-point theorems

Keywords:

expansiveness; occasional weak compatibility; expansive occasionally weakly compatible maps

Citations:

Zbl 1118.47045