RECENT FIXED POINT THEOREMS FOR T-CONTRACTIVE MAPPINGS AND T-WEAK (ALMOST) CONTRACTIONS IN METRIC AND CONE METRIC SPACES ARE NOT REAL GENERALIZATIONS

Authors

  • T. Bekeshie Department of Mathematics,Addis Ababa University, Addis Ababa, Ethiopia
  • G.A Naidu Department of Mathematics,Andhra University, Visakhapatnam, India

Keywords:

Fixed point theorem, T-contraction, T-contractive mapping, T-Kannan mapping, TCaterjea mapping, T−Zamfirescu mapping, T−weak contraction, Cone metric space

Abstract

The purpose of this research article is to show that recent fixed point theorems obtained in metric and cone metric spaces for T-contractive mappings and TW-contractions are equivalent to previously existing theorems in the literature; hence are redundant. We also show that Proposition 2.5 of [4] is invalid.

Additional Files

Published

11/06/2013

How to Cite

Bekeshie, T., & Naidu, G. . (2013). RECENT FIXED POINT THEOREMS FOR T-CONTRACTIVE MAPPINGS AND T-WEAK (ALMOST) CONTRACTIONS IN METRIC AND CONE METRIC SPACES ARE NOT REAL GENERALIZATIONS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 4(2), 219–225. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2720

Issue

Vol. 4 No. 2 (2013): JNAO

Section

Research Articles

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Creative Commons License

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