104 citations · 124 across the 11 of their papers we have counts for
11 papers
Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions
Md Ahmadullah, Mohammad Imdad, Mohammad Arif
In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation. Our results extend, g…
Common fixed point theorems under an implicit contractive condition on metric spaces endowed with an arbitrary binary relation and an application
Md Ahmadullah, Mohammad Imdad, Mohammad Arif
The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general…
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…
Nonlinear contractions in metric spaces under locally T-transitive binary relations
Aftab Alam, Mohammad Imdad
In this paper, we present a variant of Boyd-Wong fixed point theorem in a metric space equipped with a locally T-transitive binary relation, which under universal relation reduces…
Comparable linear contractions in ordered metric spaces
Aftab Alam, Mohammad Imdad
In this paper, with a view to improve the g-monotonicity condition, we introduce the notion of g-comparability of a mapping defined on an ordered set and utilize the same to prove…