June 6, 2024Open Access

Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications

Key Points

Key points are not available for this paper at this time.

Abstract

This paper investigates the existence of common fixed points for mappings satisfying generalized rational type contractive conditions in the framework of bicomplex valued metric spaces. Our findings extend well-established results in the existing literature. As an application of our leading result, we explore the existence and uniqueness of solutions of the Volttera integral equation of the second kind.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Badriah Alamri (Thu,) studied this question.

synapsesocial.com/papers/68e65e2bb6db6435875ec9d1 https://doi.org/https://doi.org/10.3390/math12111770

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces2023 · 2 citations
2Common fixed point theorems for multi-valued mappings in bicomplex valued metric spaces with application2023 · 1 citations
3On common fixed point results in bicomplex valued metric spaces with application2022 · 7 citations
4Solving a System of Nonlinear Integral Equations via Common Fixed Point Theorems on Bicomplex Partial Metric Space2021 · 16 citations
5SOME FIXED POINT THEOREMS IN CONNECTION WITH TWO WEAKLY COMPATIBLE MAPPINGS IN BICOMPLEX VALUED METRIC SPACES2017 · 35 citations

Bookmark

View Full Paper