COUPLED FIXED AND COINCIDENCE POINT THEOREMS FOR GENERALIZED CONTRACTIONS IN METRIC SPACES WITH A PARTIAL ORDER: coupled fixed point

K. Ravibabu; Ch. Srinivasa Rao; Ch. Raghavendra Naidu

COUPLED FIXED AND COINCIDENCE POINT THEOREMS FOR GENERALIZED CONTRACTIONS IN METRIC SPACES WITH A PARTIAL ORDER

coupled fixed point

Authors

K. Ravibabu GMR Institute of Technology - Department of Mathematics
Ch. Srinivasa Rao Mrs. A. V. N. College - Department of Mathematics
Ch. Raghavendra Naidu Govt. Degree College - Department of Mathematics

Keywords:

coupled fixed point, coupled coincidence point, mixed monotone property, partially ordered set

Abstract

In this paper, we establish results on the existence and uniqueness of coupled common fixed point theorems and coupled coincidence fixed point theorems for such non-linear contraction mappings having a mixed monotone property in partially ordered complete metric spaces with out using continuity. Our results generalize and extend the results of V. Lakshmikantham and L. Ciric [13], Sintunavarat and Poom Kumam [16].

Cover of n°39 Italian Journal of Pure and Applied Mathematics

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Published

2018-02-28

How to Cite

Ravibabu, K., Rao, C. S., & Naidu, C. R. (2018). COUPLED FIXED AND COINCIDENCE POINT THEOREMS FOR GENERALIZED CONTRACTIONS IN METRIC SPACES WITH A PARTIAL ORDER: coupled fixed point. Italian Journal of Pure and Applied Mathematics, 39, 434–450. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6902

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Issue

N°39 - February 2018

Section

Articoli - Forum Editrice

License

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

L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)