Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CONTROL FUNCTION BASED COUPLED AND COMMON COUPLED FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

  • H. K. Nashine (Mathematics Division, School of Advanced Sciences and Languages, VIT Bhopal University, Department of Mathematics and Applied Mathematics, University of Johannesburg, Kingsway Campus) ;
  • G. S. Saluja (H.N. 3/1005) ;
  • G. V. V. Jagannadha Rao (Kalinga University) ;
  • W. H. Lim (Department of Mathematics Education, Kyungnam University)
  • Received : 2023.10.18
  • Accepted : 2024.03.09
  • Published : 2024.06.15
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Abstract

In this paper, we aim to prove coupled and common coupled fixed point theorems for contractive type conditions in the context of partial metric spaces by means of a control function, and to provide some corollaries of the established results. This paper presents a number of results that generalize and extend previous work in the field. In order to better illustrate the process, we provide examples.

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References

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