Fixed point theorems for ws-compact mappings in Banach spaces.(English)Zbl 1206.47047

Summary: We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the usefulness and the applicability of our results.

MSC:

 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.

ws-compact

Zbl 0823.47057
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References:

 [2] doi:10.1016/j.na.2009.01.096 · Zbl 1194.47060 [3] doi:10.1016/j.na.2006.03.022 · Zbl 1128.45006 [4] doi:10.1016/j.jde.2005.04.010 · Zbl 1091.47046 [5] doi:10.1016/j.na.2009.02.072 · Zbl 1203.45004 [6] doi:10.1007/BF01762795 · Zbl 0653.47035 [14] doi:10.1016/j.na.2009.01.117 · Zbl 1166.49014 [15] doi:10.1016/j.na.2005.05.003 · Zbl 1090.49020
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