A general fixed point theorem for hybrid pairs of mappings satisfying a new type of limit range property
2018
scientific article
english
- coincidence point
- fixed point
- hybrid pairs
- multi-valued mappings
- common limit range property
- strict tangential property
- altering distance
- implicit relation
EN In this paper a new type of common limit range property is introduced, which generalizes the notion of strongly tangential property [9] and joint common limit range property [16]. A general fixed point theorem for two pairs of hybrid mappings involving altering distance and satisfying an implicit relation is proved, generalizing the results from [9], [16] and other papers. As application, we obtain new results for contractive mappings satisfying a contractive condition of integral type, for mappings satisfying ф - contractive conditions and satisfying (ψ, ф) - contractive conditions.
143 - 162
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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