Let p(z) be a polynomial of degree n. In this paper, we prove a more general results concerning maximum modulus of polynomials. Our results not only generalize some known polynomial inequalities but also improve the results due to Jain [6], Aziz and Rather [4].

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The purpose of this paper is to provide sufficient conditions for the existence of a best proximity point for various types of cyclic contraction maps. Our results extend and improve certain recent results in the literature.

The aim of this paper is to establish some conditions which guarantee the existence of best proximity for semi-cyclic contraction pairs in regular cone metric spaces. We obtain best proximity points and prove convergence results for such maps in regular cone metric spaces.