### COMMON FIXED POINTS OF A PAIR OF SELFMAPS SATISFYING CERTAIN WEAKLY CONTRACTIVE INEQUALITY INVOLVING RATIONAL TYPE EXPRESSIONS VIA TWO AUXILIARY FUNCTIONS IN PARTIALLY ORDERED METRIC SPACES

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#### Abstract

In this paper, we prove the existence of coincidence and common fixed points of a pair of selfmaps satisfying certain weakly contractive inequality with two auxiliary functions involving rational type expressions in partially ordered metric spaces. These results extend some of the known existing results in the literature from a single selfmap to a pair of selfmaps. Examples are provided in support of our results.

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K. P. R. Sastry, G. V. R. Babu, K. K. M. Sarma and P. H. Krishna, Fixed points of selfmaps on partially ordered metric spaces with control functions involving rational type expressions, Journal of Advanced Research in Pure Mathematics, 2015 Vol. 7, Issue. 4: 92-102.

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