6533b872fe1ef96bd12d2f65

RESEARCH PRODUCT

Further generalization of fixed point theorems in Menger PM-spaces

Dhananjay GopalMarwan Amin KutbiCalogero VetroWutiphol Sintunavarat

subject

Discrete mathematicsGeneralizationApplied MathematicsFixed-point theoremType (model theory)Fixed pointMenger PM-spaceFixed-point propertyMenger's theoremfixed pointψ-contractive mappingDifferential geometrySettore MAT/05 - Analisi MatematicaGeometry and TopologyCoincidence pointMathematics

description

In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results.

yearjournalcountryeditionlanguage
2015-02-27Fixed Point Theory and Applications
https://doi.org/10.1186/s13663-015-0279-4