Search results for " functional equations"

showing 2 items of 2 documents

Fixed point theorems for twisted (α,β)-ψ-contractive type mappings and applications

2013

The purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings defined on a complete metric space. The obtained results generalize some recent theorems in the literature. Several applications and interesting consequences of our theorems are also given.

alpha-admissible mapping contractive mapping cyclic mapping ordered metric space functional equationsDiscrete mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsFixed-point theoremUniquenessType (model theory)Fixed pointCoincidence pointComplete metric spaceMathematicsFilomat
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Some common fixed point theorems for owc mappings with applications

2013

Starting from the setting of fuzzy metric spaces, we give some new common fixed point theorems for a pair of occasionally weakly compatible (owc) self-mappings satisfying a mixed contractive condition. In proving our results, we do not need to use the triangular inequality. Also we obtain analogous results for two pairs of owc self-mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement some results existing in the literature. Finally, we give some applications of our results.

Common fixed points functional equations fuzzy metric spaces occasionally weakly compatible mappings product spaceSettore MAT/05 - Analisi Matematica
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