Title of article :
Semi-metric spaces and fixed points of α − φ -contractive maps
Author/Authors :
Shahzad ، Naseer - King Abdulaziz University , Alghamdi ، Mohammed Ali - King Abdulaziz University , Alshehri ، Sarah - King Abdulaziz University , Arandelovic ، Ivan - University of Belgrade
Abstract :
A negative answer to an open problem is provided. Fixed point results for α − φ -contractive mappings in semi-metric spaces are proved. To show the generality of our results, examples are given. Finally, an application of our result to probabilistic spaces is derived.
Keywords :
Semi , metric space , α−φ , contractive mapping , fixed point , probabilistic space.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications