Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces

Santosh Kumar; Johnson Allen Kessy

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 2, page 223-236
  • ISSN: 0862-7959

Abstract

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The notions of compatible mappings play a crucial role in metrical fixed point theory. Partial metric spaces are a generalization of the notion of a metric space in the sense that distance of a point from itself is not necessarily zero. In this paper, we prove coincidence and fixed point theorems for a pair of single-valued and multi-valued weak compatible mappings on a complete partial metric space. Our main results generalize, in particular, the results of Kaneko and Sessa (1989), Pathak (1995) and Kessy, Kumar and Kakiko (2017). Examples that illustrate the generality of our results are also provided.

How to cite

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Kumar, Santosh, and Kessy, Johnson Allen. "Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces." Mathematica Bohemica 148.2 (2023): 223-236. <http://eudml.org/doc/299388>.

@article{Kumar2023,
abstract = {The notions of compatible mappings play a crucial role in metrical fixed point theory. Partial metric spaces are a generalization of the notion of a metric space in the sense that distance of a point from itself is not necessarily zero. In this paper, we prove coincidence and fixed point theorems for a pair of single-valued and multi-valued weak compatible mappings on a complete partial metric space. Our main results generalize, in particular, the results of Kaneko and Sessa (1989), Pathak (1995) and Kessy, Kumar and Kakiko (2017). Examples that illustrate the generality of our results are also provided.},
author = {Kumar, Santosh, Kessy, Johnson Allen},
journal = {Mathematica Bohemica},
keywords = {partial metric space; weak compatible mapping; hybrid pair of mapping},
language = {eng},
number = {2},
pages = {223-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces},
url = {http://eudml.org/doc/299388},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Kumar, Santosh
AU - Kessy, Johnson Allen
TI - Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 2
SP - 223
EP - 236
AB - The notions of compatible mappings play a crucial role in metrical fixed point theory. Partial metric spaces are a generalization of the notion of a metric space in the sense that distance of a point from itself is not necessarily zero. In this paper, we prove coincidence and fixed point theorems for a pair of single-valued and multi-valued weak compatible mappings on a complete partial metric space. Our main results generalize, in particular, the results of Kaneko and Sessa (1989), Pathak (1995) and Kessy, Kumar and Kakiko (2017). Examples that illustrate the generality of our results are also provided.
LA - eng
KW - partial metric space; weak compatible mapping; hybrid pair of mapping
UR - http://eudml.org/doc/299388
ER -

References

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