Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via ℱ-Generalized Contractive Type Mappings

Pooja Dhawan and Jatinderdeep Kaur
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Pooja Dhawan: Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India
Jatinderdeep Kaur: Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India

Mathematics, 2019, vol. 7, issue 2, 1-11

Abstract: In the present work, the concept of F -generalized contractive type mappings by using C -class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial metric spaces are studied. These results improve and generalize various results existing in the literature. The effectiveness of the obtained results is verified with the help of some comparative examples.

Keywords: fixed point; ordered partial metric space; ℱ-generalized contractive type mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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