PARTIALLY CONDENSING MAPPINGS IN PARTIALLY ORDERED NORMED LINEAR SPACES AND APPLICATIONS TO FUNCTIONAL INTEGRAL EQUATIONS

In this paper, the author introduces a notion of partially condensing mappings in a partially ordered nonmed linear space and proves some hybrid fixed point theorems under certain mixed conditions of algebra, analysis and topology. The applications of abstract results presented here are given to some nonlinear functional integral equations for proving the existence as well as global attractivity of the comparable solutions under certain mono tonicity conditions. The abstract theory presented here is very much useful to develop the algorithms for the solutions of some nonlinear problems of analysis and allied areas of mathematics. A realization of of our hypotheses is also indicated by a numerical example.