BEST PROXIMITY THEOREMS FOR REICH TYPE CYCLIC ORBITAL AND REICH TYPE MEIR-KEELER CONTRACTION MAPS

Authors

  • ERDAL KARAPINAR Department of Mathematics, Atilim University 06836, İncek, Ankara, Turkey
  • G. SANKARA RAJU KOSURU Department of Mathematics, Cental University of Tamilnadu, Thiruvarur-610004, India
  • KENAN TAS Department of Mathematics and Computer Science, Cankaya University 06530, Yuzuncuyil, Ankara, Turkey

Keywords:

Cyclic contraction, Best proximity points, Reich type cyclic orbital contraction, Reich type Meir Keeler cyclic contraction spaces

Abstract

In this manuscript, Reich type cyclic orbital contraction and Reich typeMeir Keeler cyclic contraction are defined and also some related best proximity point theorems are obtained. These theorems generalize some results of Kirk-Srinavasan-Veeramani and Karpagam-Agrawal.

Author Biography

G. SANKARA RAJU KOSURU, Department of Mathematics, Cental University of Tamilnadu, Thiruvarur-610004, India

Department of Mathematics

Assistant Professor

Additional Files

Published

06/28/2013

Issue

Vol. 5 No. 1 (2014): JNAO

Section

Research Articles

License

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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.