Common fixed points of conditionally commuting mappings satisfying weaker continuity conditions
2012
scientific article
english
- commuting maps
- conditional reciprocal continuity
- weak reciprocal continuity
- absorbing maps
- fixed point theorems
EN The aim of the present paper is to obtain some new common fixed point theorems for a pair of Lipschitzian type selfmappings satisfying a minimal commutativity and weaker continuity conditions. In the setting of our results we establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points. Our results generalize several fixed point theorems.
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