Solution of Fredholm integral equation via common fixed point theorem on bicomplex valued b-metric space

G Mani, AJ Gnanaprakasam, O Ege, N Fatima, N Mlaiki - Symmetry, 2023 - mdpi.com
The notion of symmetry is the main property of a metric function. The area of fixed point
theory has a suitable structure for symmetry in mathematics. The goal of this paper is to find …

On a Common Fixed Point Theorem in Bicomplex Valued b-metric Space

SK Datta, D Pal, R Sarkar… - Montes Taurus Journal of …, 2021 - mtjpamjournal.com
The main purpose of this paper is to investigate a common fixed point theorem in bicomplex
valued b-metric space satisfying some rational inequalities for two pairs of weakly …

An application to fixed-point results in tricomplex-valued metric spaces using control functions

R Ramaswamy, G Mani, AJ Gnanaprakasam… - Mathematics, 2022 - mdpi.com
In the present work, we establish fixed-point results for a pair of mappings satisfying some
contractive conditions on rational expressions with coefficients as point-dependent control …

Bicomplex valued bipolar metric spaces and fixed point theorems

S Gurusamy - Mathematical Analysis and its Contemporary …, 2022 - macajournal.com
Bicomplex valued bipolar metric spaces and fixed point theorems Page 1 Mathematical
Analysis and its Contemporary Applications Volume 4, Issue 1, 2022, 29–43 doi: 10.30495/maca.2021.1944542.1037 …

The existence of a solution of a nonlinear Fredholm integral equations over bicomplex b-metric spaces

Z Mitrovic, G Mani, AJ Gnanaprakasam… - Gulf Journal of …, 2023 - gjom.org
In this manuscript, owing to the concept of bicomplex b-metric spaces, we prove common
fixed point theorem in bicomplex b-metric spaces. In order to strengthen our main results, a …

Fixed points in tricomplex valued S-metric spaces with applications

G Siva - International Journal of Nonlinear Analysis and …, 2025 - ijnaa.semnan.ac.ir
The concept of tricomplex valued S-metric space is introduced in this article, and some
properties are derived. Also, some fixed point results of contraction maps satisfying various …

Common fixed point Theorems for Interpolative Mapping in Bicomplex-valued b-Metric Space with An application to Non-linear matrix Equation

L Wangwe - 2023 - researchsquare.com
This manuscript plans to prove a common fixed point theorem for interpolative contraction
mapping in Bicomplex-valued b-metric spaces. our results generalize and extend several …

[PDF][PDF] COMMON FIXED POINT THEOREMS IN BICOMPLEX VALUED b-METRIC SPACES FOR RATIONAL CONTRACTIONS

SK Datta, D Pal, R Sarkar, J Saha, DM PO-Mangalbari - researchgate.net
COMMON FIXED POINT THEOREMS IN BICOMPLEX VALUED b-METRIC SPACES FOR
RATIONAL CONTRACTIONS By Sanjib Kumar Datta1, Dipankar Pal 2 Page 1 COMMON FIXED …

[PDF][PDF] Department of Mathematics, Prof. Syed Nurul Hasan College PO-Farakka Barrage, Dist-Murshidabad, West Bengal-742212, India Email: dpal. math@ gmail …

SK Datta, DN PO-Kalyani, D Pal - researchgate.net
1 Introduction, Definitions and Notations. Page 1 Jnanabha, Vol. 50(2) (2020), 93-105 (Dedicated
to Honor Dr. RC Singh Chandel on His 75th Birth Anniversary Celebrations) COMMON FIXED …

COMMON FIXED POINT THEOREMS OF ALMOST SUZUKI TYPE CONTRACTIONS IN BI COMPLEX VALUED b-METRIC SPACES.

M Madhuri, MVR Kameswari - South East Asian Journal of …, 2022 - search.ebscohost.com
We study common fixed point theorems of Suzuki type contractions employing alpha
admissible function for two selfmaps in bicomplex valued b-metric space rendered by …