Best proximity points and fixed points for p-summing maps
1 Department of Mathematics and Computer Science, North University of Baia Mare, Victoriei 76, 430072 Baia Mare, Romania
2 Department of Mathematics and Informatics, Plovdiv University, 24 "Tzar Assen" str., 4000 Plovdiv, Bulgaria
Fixed Point Theory and Applications 2012, 2012:86 doi:10.1186/1687-1812-2012-86Published: 21 May 2012
We have found a new type of a contractive condition that ensures the existence and uniqueness of fixed points and best proximity points in uniformly convex Banach spaces. We provide some examples to validate our results. These results generalize some known results from fixed point theory.
AMS Subject Classification: 47H10; 54H25.