zbMATH — the first resource for mathematics

Multivalued generalized contractive maps and fixed point results. (English) Zbl 1339.54036
Summary: We prove some fixed point results for generalized contractive multimaps with respect to generalized distance. Consequently, several known fixed point results either generalized or improved including the corresponding recent fixed point results by L. Ćirić [J. Math. Anal. Appl. 348, No. 1, 499–507 (2008; Zbl 1213.54063)], B. A. Bin Dehaish and A. Latif [Fixed Point Theory Appl. 2012, Article ID 61, 9 p. (2012; Zbl 06214012) and ibid. 2012, Article ID 135, 9 p. (2012; Zbl 06232205)], A. Latif and W. A. Albar [Demonstr. Math. 41, No. 1, 145–150 (2008; Zbl 1151.54343)], D. Klim and D. Wardowski [J. Math. Anal. Appl. 334, No. 1, 132–139 (2007; Zbl 1133.54025)], Y. Feng and S. Liu [J. Math. Anal. Appl. 317, No. 1, 103–112 (2006; Zbl 1094.47049)].
54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54C60 Set-valued maps in general topology