Khan, Safeer Hussain; Abbas, Mujahid(SpringerOpen, 2014)
The existence of fixed points of single-valued mappings in modular function spaces
has been studied by many authors. The approximation of fixed points in such spaces
via convergence of an iterative process for single-valued ...
The aim of this paper is to present coincidence best proximity point results of Fg-weak contractive
mappings in partially ordered metric space. Some examples are presented to prove the validity of our
Recently Abbas [M. Abbas, Coincidence points of multivalued f−almost nonexpansive mappings, Fixed
Point Theory, 13 (1) (2012), 3–10] introduced the concept of f−almost contraction which generalizes the
class of multivalued ...
Aghajani, Asadollah; Abbas, Mujahid; Roshan, Jamal Rezaei(University of Nis, 2014)
In this work, using the concepts of G-metric and b-metric we define a new type of metric which
we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point
theorem for six mappings ...
Rahimi, Hamidreza; Abbas, Mujahid; Rad, Ghasem Soleimani(University of Nis, Serbia, Faculty of Sciences and Mathematics, 2015)
A vector metric space is a generalization of a metric space, where the metric is Riesz space
valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces.
Obtained results extend ...
We first introduce a new concept of b-dislocated metric space as a generalization of
dislocated metric space and analyze different properties of such spaces.
A fundamental result for the convergence of sequences in ...
In this paper, we establish the existence of a common fixed point of almost
generalized contractions on modular spaces. As an application, we present some
fixed and common fixed point results for such mappings on modular ...
Hussain, Nawab; Isik, Huseyin; Abbas, Mujahid(International Scientific Research Publications, 2016)
In this paper, we introduce the notion of generalized almost rational contraction with respect to a pair of
self mappings on a complete metric space. Several common xed point results for such mappings are proved.
We establish some common fixed point results for multivalued mappings satisfying
generalized contractive conditions on a complete partial metric space. The presented
theorems extend some known results to partial metric ...
Abbas, Mujahid; De la Sen, Manuel; Nazir, Talat(Hindawi Publishing, 2015)
The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup
of multiplicative metric spaces. As an application, we obtain a common fixed point ...
Khan, Safeer Hussain; Abbas, Mujahid(SpringerOpen, 2014-09)
In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration process due to Agarwal et al. (J. Nonlinear Convex Anal. 8(1):61-79, 2007). ...
In this paper, we present common coincidence and common fixed point results for
two pairs of mappings that satisfy the (E.A)-property in the setup of partial metric
spaces. Some examples are given to validate the concepts ...
Chandok, S.; Khan, M.S.; Abbas, Mujahid(Springer, 2014-09)
Some common fixed-point results for mappings satisfying a nonlinear weak contraction condition within
the framework of ordered metric spaces are obtained. The accumulated results generalize and extend
several comparable ...
The aim of this paper is to introduce the concept of generalized φ-weakly contraction
random operators and then to prove the convergence and almost sure T-stability of
Mann and Ishikawa-type random iterative schemes. We ...
In this paper, employing a new concept of generalized compatibility of a pair of
mappings defined on a product space, certain coupled coincidence point results of
mappings involved herein are obtained. We also deduce ...
Abbas, Mujahid; Khan, Safeer Hussain; Postolache, Mihai(SpringerOpen, 2014-05)
Recently, Karapınar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the
class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In
this paper, we investigate SKC mappings to get a criterion ...
The aim of this paper is to introduce a newtype of generalized multivalued contraction
mappings and to present some results regarding fixed points of new class of multivalued
contractions. As applications we obtain some ...
Abbas, Mujahid; Chema, CImran Zulfiqar; Razani, Abdolrahman(University of Nis, Serbia, Faculty of Sciences and Mathematics, 2016)
The necessary conditions for existence of a common fixed point of two mappings satisfying
generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space
are presented. Also, we ...
Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94)
introduced a new type of contraction called F-contraction and proved a fixed point
result in complete metric spaces, which in turn generalizes ...