Partially condensing mappings in partially ordered normed linar spaces and applications to functional integral equations

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Published: Dec 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1512
Keywords:
Partially measure of noncompactness Partially condensing mappings Fixed points Functional integral equation Existence theorem

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Bapurao Chandrabahan Dhage

Abstract

In this paper, the author introduces a notion of partially condensing mappings in a partially ordered normed 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 monotonicity 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.

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How to Cite
Dhage, B. C. (2014). Partially condensing mappings in partially ordered normed linar spaces and applications to functional integral equations. Tamkang Journal of Mathematics, 45(4), 397–426. https://doi.org/10.5556/j.tkjm.45.2014.1512
Issue
Vol. 45 No. 4 (2014)
Section
Papers
Author Biography

Bapurao Chandrabahan Dhage

Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur,Maharashtra, India.

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