SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES

K. Dogan, F. Gursoy, V. Karakaya

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Abstract

In this study, we introduce a new three step iteration process and show that the iteration process converges to the unique xed 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.