HYBRID FIXED POINT THEORY FOR NONINCREASING MAPPINGS IN PARTIALLY ORDERED METRIC SPACES AND APPLICATIONS

Authors

  • BAPURAO C. DHAGE Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur Maharashtra, India
  • SHYAM B. DHAGE Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur Maharashtra, India

Keywords:

Hybrid fixed point theorem, Nonlinear differential equation, Existence of solutions

Abstract

We present some hybrid fixed point theorems for nonincreasing mappings in a partially ordered complete metric space and apply to prove the existence as well as an algorithm for the solutions of initial value problems of nonlinear first order ordinary differential equations. An example is also provided to illustrate the abstract theory developed in this paper.

Additional Files

Published

06/12/2014

Issue

Vol. 5 No. 2 (2014): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.