A fixed point approach to the solution of singular fractional differential equations with integral boundary conditions

K Chandran, K Gopalan, ST Zubair… - Advances in Difference …, 2021 - Springer
In this article, we first demonstrate a fixed point result under certain contraction in the setting
of controlled b-Branciari metric type spaces. Thereafter, we specifically consider a following …

Controlled b-Branciari metric type spaces and related fixed point theorems with applications

ST Zubair, K Gopalan, T Abdeljawad - Filomat, 2020 - doiserbia.nb.rs
In this manuscript, we present and develop different F-contraction methods using new kinds
of contractions, namely F1-contraction and extended F1-contraction in the context of …

[PDF][PDF] New fixed point theorems in operator valued extended hexagonal b-metric spaces

K Gopalan, ST Zubair, T Abdeljawad - Palestine Journal of …, 2022 - pjm.ppu.edu
In the current work, we broaden the class of C∗-algebra-valued hexagonal b-metric spaces
and C∗-algebra-valued extended b-metric spaces by defining the class of C*-algebravalued …

New Fixed Point Theorem on Triple Controlled Metric Type Spaces with Applications to Volterra–Fredholm Integro-Dynamic Equations

K Gopalan, ST Zubair, T Abdeljawad, N Mlaiki - Axioms, 2022 - mdpi.com
The objective of the research article is two-fold. Firstly, we present a fixed point result in the
context of triple controlled metric type spaces with a distinctive contractive condition involving …

[PDF][PDF] Some fixed point results in extended hexagonal b-metric spaces approach to the existence of a solution to fredholm integral equations

K GOPALAN, ST ZUBAIR - Journal of Mathematical Analysis, 2020 - ilirias.com
In the present work, we first establish the notion of extended hexagonal b-metric space and
demonstrate some fixed point theorems with various contractive conditions using a new class …

[PDF][PDF] Novel fixed point technique to coupled system of nonlinear implicit fractional differential equations in complex valued fuzzy rectangular b-metric spaces

ST Zubair, K Gopalan, T Abdeljawad, N Mlaiki - AIMS Mathematics, 2022 - aimspress.com
The fundamental purpose of this research is to investigate the existence theory as well as
the uniqueness of solutions to a coupled system of fractional order differential equations with …

On Fuzzy Extended Hexagonal b-Metric Spaces with Applications to Nonlinear Fractional Differential Equations

ST Zubair, K Gopalan, T Abdeljawad, B Abdalla - Symmetry, 2021 - mdpi.com
The focus of this research article is to investigate the notion of fuzzy extended hexagonal b-metric
spaces as a technique of broadening the fuzzy rectangular b-metric spaces and …

A Fixed Point Technique for Solving Boundary Value Problems in Branciari Suprametric Spaces: Branciari Suprametric Spaces

ST Zubair, M Aphane, A Mukheimer… - Results in Nonlinear …, 2024 - nonlinear-analysis.com
The focus of the present article is to initiate the notion of Branciari suprametric spaces and
to investigate some of its fundamental topological properties. An illustration is provided to …

On Fixed Points in the Setting of -Algebra-Valued Controlled -Metric Type Spaces

K Gopalan, ST Zubair - International Conference on Mathematical …, 2019 - Springer
In the present article, we first examine the conception of $$C^*$$ C ∗ -algebra-valued
controlled $$F_c$$ F c -metric type spaces as a generalization of F-cone metric spaces over …

Existence of Fixed Point Results in -algebra-valued Triple Controlled Metric Type Spaces

K Gopalan, ST Zubair - International Conference on Mathematical …, 2019 - Springer
In this study, we first interpret the notion of $$C^*$$ C ∗ -algebra-valued triple controlled
metric type spaces and derive certain fixed point theorems for Banach and Kannan type …