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math.FA2017
Positive solution to fractional thermostat model in Banach spaces via fixed point results
Hiranmoy Garai, Lakshmi Kanta Dey, Ankush Chanda
The motive behind this manuscript is to set up the existence and uniqueness of a positive solution for a fractional thermostat model for certain values of the parameter . We a…
math.FA2017★ 2 cited
A study on Kannan type contractive mappings
Hiranmoy Garai, Tanusri Senapati, Lakshmi Kanta Dey
In this article, we consider Kannan type contractive self-map on a metric space such that \[d(Tx,Ty)<\frac{1}{2}\{d(x,Tx)+d(y,Ty)\} \mbox{ for all } x \neq y \in X, \]…
math.GM2017
Relation-theoretic metrical fixed point results via w-distance with an application in nonlinear fractional differential equations
Tanusri Senapati, Lakshmi Kanta Dey
In this article, utilizing the concept of w-distance, we prove the celebrated Banach's fixed point theorem in metric spaces equipped with an arbitrary binary relation. Necessarily…