On elliptic valued b-metric spaces and some new fixed point results with an application
Articles > Article · 2024
Authors: Sudipta Kumar Ghosh, Özgür EGE, Junaid Ahmad, Ahmad Aloqaily, Nabil Mlaiki
AIMS Mathematics, Journal Indexed in SCI Expanded, International, WoS, 2024, vol 9, pp 17184-17204
DOI: 10.3934/math.2024835
Summary
In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixed-point results that involve rational and product terms within this novel space framework. To support our main findings, we offer numerical examples. Additionally, we demonstrate an application of Urysohn integral equations.