PPF DEPENDENT FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTION MAPPINGS IN BANACH SPACES

Authors

  • W. SINTUNAVARAT Department of Mathematics and Statistics, Faculty of Science and Technology, ThammasatUniversity Rangsit Center, Pathumthani 12121, Thailand
  • P. KUMAM Department of Mathematics, Faculty of Science, King Mongkut’‚s University of Technology Thonburi(KMUTT), Bangkok 10140, Thailand

Keywords:

PPF fixed points, Razumikhin classes, Rational type contraction

Abstract

In this paper, we prove the existence of the PPF dependent fixed point theorems in the Razumikhin class for rational type contraction mappings in Banach spaces where the domain and range of the mappings are not the same. We also use this result to prove the PPF dependent coincidence point theorems. Our results extend and generalize some results of Bernfeld et al. in [S. R. Bernfeld, V. Lakshmikatham and Y. M. Reddy, Fixed point theorems of operators with PPF dependence in Banach spaces, Applicable Anal. 6 (1977), 271-280.].

Additional Files

Published

05/13/2013

Issue

Vol. 4 No. 2 (2013): 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.