Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions

الملخص EN

Remarkable feature of contractions is associated with the concept Mizoguchi-Takahashi function.

For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G -contractions and establish some generalized fixed point theorems regarding these contractions in this paper.

Some applications to the construction of a fixed point of multivalued mappings in ε -chainable metric space are also discussed.