EXISTENCE OF FIXED POINT FOR NONLINEAR OPERATOR IN PARTIALLY ORDERED METRIC SPACES
Keywords:
weakly regular cone, fixed point, contractive mappings, existenceDOI:
https://doi.org/10.17654/0974324323007Abstract
In this article, first we introduce new notions of a contractive mapping and establish some fixed point theorems for the contractive mapping in the setting of LG-complete LG-metric spaces. Further, we establish a new criterion between weakly regular cone and normal cone, and we also obtain a fixed point result in the same LG-complete LG-metric spaces by making use of analysis technique. Later, we give some examples to illustrate the valid of our main results.
Received: September 29, 2022
Revised: October 19, 2022
Accepted: November 21, 2022
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