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
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.