Convergence and stability results for Ishikawa iterative scheme in convex p-metric spaces

Abstract

In this paper, we introduce the concept of convex p−metric space as a generalization of convex metric space, and we prove convergence and stability results of Ishikawa type, and Picard hybrid iterative sequence for quasi- contractive operator in the setting convex p−metric space. As a result of our analysis, the Picard and Mann schemes emerge as corollaries. An example is given to verify the main results.