Abstract

STABILITY ANALYSIS OF QUADRUPLED FIXED POINT THEOREMS FOR MIXED MONOTONE MAPPINGS IN PARTIALLY ORDERED METRIC SPACES

Aniki, S. A.1* and Rauf, K.

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The quadrupled fixed point is a generalization of the idea of tripled fixed point. This notion of fixed point has played a very important role in the field of mathematics, especially in the aspect of nonlinear analysis. In this paper, we present the notion of stability analysis of quadrupled fixed point iterative procedures via the use of mathematical analysis properties and establish results for mixed monotone mappings in partially ordered metric space, satisfying the new modified type of contractive conditions. Our results complement and summarize some of the results in the literature. Keywords: stability, metric space, quadrupled fixed point, mixed monotone, iteration procedure.

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