104 citations · 124 across the 11 of their papers we have counts for
7 papers · 1 filter
Relation-theoretic contraction principle in metric-like as well as partial metric spaces
Md Ahmadullah, Abdur Rauf Khan, Mohammad Imdad
In this paper, we extend the Banach contraction principle to metric-like as well as partial metric spaces (not essentially complete) equipped with an arbitrary binary relation. The…
Relation-theoretic metrical fixed point theorems under nonlinear contractions
Md Ahmadullah, Mohammad Imdad, Rqeeb Gubran
We establish fixed point theorems for nonlinear contractions on a metric space (not essentially complete) endowed with an arbitrary binary relation. Our results extend, generalize,…
Using an implicit function to prove common fixed point theorems
Mohammad Imdad, Rqeeb Gubran, Md Ahmadullah
In this paper, we prove common fixed point results for a self-mappings satisfying an implicit function which is general enough to cover a multitude of known as well as unknown cont…
Common fixed point theorems for Hybrid generalized -contractions under common limit range property with applications
Hemant Kumar Nashine, Mohammad Imdad, MD Ahmadullah
We consider a relatively new hybrid generalized F-contraction involving a pair of mappings and utilize the same to prove a common fixed point theorem for a hybrid pair of occasiona…
Relation-theoretic metrical coincidence theorems
Aftab Alam, Mohammad Imdad
In this article, we generalize some frequently used metrical notions such as: completeness, closedness, continuity, g-continuity and compatibility to relation-theoretic setting and…
Unified multi-tupled fixed point theorems involving monotone property in ordered metric spaces
Aftab Alam, Mohammad Imdad, Stojan Radenovic
In this paper, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contracti…
Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces
Aftab Alam, Mohammad Imdad, Javid Ali
In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theo…