International Journal of Contemporary Research In Multidisciplinary, 2024;3(2):172-174
Fixed Point Results Using New Helping Functions via Caristi Type
Author Name: Archana Chaudhari, Basel Hardan, Alaa Abdallah, Ahmed A. Hamoud, Kirtiwant P. Ghadle, and Jayashree Patil
Paper Type: research paper
Article Information
Abstract:
Deviating from the traditional framework to prove the existence and uniqueness of a fixed point and replacing the fixed number in the Banach contraction principle with a function that has its conditions is one of the most difficult challenges facing studies concerned with the fixed point, which researchers took on recently. Success in such studies has a wide applied impact in many areas of mathematics, reflecting positively on various applied sciences. In this study, we establish new fixed point theorems for contractive mapping in a complete metric space using some helping functions via Caristi-type.
Keywords:
Banach theory, generalized space, fixed-point theorem, contractive mapping. 2010 MSC: 46B07, 54F05, 47H10, 47H09.
How to Cite this Article:
Archana Chaudhari, Basel Hardan, Alaa Abdallah, Ahmed A. Hamoud, Kirtiwant P. Ghadle, and Jayashree Patil. Fixed Point Results Using New Helping Functions via Caristi Type. International Journal of Contemporary Research in Multidisciplinary. 2024: 3(2):172-174
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