Title of article :
SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES
Author/Authors :
DOGAN, KADRI Department of Computer Engineering - Artvin Coruh University - Artvin, Turkey , GURSOY, FAIK Department of Mathematics - Adiyaman University - Adiyaman, Turkey , KARAKAYA, VATAN Department of Mathematical Engineering - Yildiz Technical University - Istanbul, Turkey
Abstract :
In this study, we introduce a new three step iteration process and show that
the iteration process converges to the unique fixed point by two theorems under different
conditions of contractive mappings on the generalized G- convex metric spaces. Also, we
investigate data dependence result for this iterative process in the generalized G- convex
metric spaces.
Keywords :
Convex G-metric spaces , G-convergence , Fixed point iteration process
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
