BEST PROXIMITY POINTS FOR A GENERALIZED C−PROXIMAL ALMOST WEAKLY CONTRACTIVE MAPS IN PARTIALLY ORDERED METRIC SPACES

Authors

  • G.V. Ravindranadh Babu Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
  • Leta Bekere Kumssa Department of Mathematics, Madda Walabu University, Bale Robe, P. O. Box 247, Ethiopia

Keywords:

best proximity point, partially ordered metric space, almost weakly contractive map

Abstract

In this paper, we obtain some best proximity point theorems for a generalized C−proximal almost weakly contractive maps in partially ordered metric spaces. Our results generalize the results of Azizi, Moosaei and Zareir [3] by choosing A = B = X, where A and B are nonempty subsets of a partially ordered metric space (X, d). We draw some corollaries and give illustrative examples in support of our results.

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Published

2017-12-31

How to Cite

Ravindranadh Babu, G., & Kumssa, L. B. (2017). BEST PROXIMITY POINTS FOR A GENERALIZED C−PROXIMAL ALMOST WEAKLY CONTRACTIVE MAPS IN PARTIALLY ORDERED METRIC SPACES. Bangmod International Journal of Mathematical and Computational Science, 3, 96–112. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/59

Issue

Vol. 3 (2017)

Section

Research Article

License

Copyright (c) 2017 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

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