Mohammad Saeed Khan - Academia.edu (original) (raw)

Papers by Mohammad Saeed Khan

$Research paper thumbnail of On Parametric <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math>(b, \theta )$$-Metric Space and Some Fixed Point Theorems$

Metric Fixed Point Theory, 2021

Axioms, 2022

In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh ... more In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.

In this paper, motivated by Kamran et al.

Miskolc Mathematical Notes, 2015

We explore improving parsing social media and other web data by altering the input data, namely b... more We explore improving parsing social media and other web data by altering the input data, namely by normalizing web text, and by revising output parses. We find that text normalization improves performance, though spell checking has more of a mixed impact. We also find that a very simple tree reviser based on grammar comparisons performs slightly but significantly better than the baseline and well outperforms a machine learning model. The results also demonstrate that, more than the size of the training data, the goodness of fit of the data has a great impact on the parser.

Ukrainian Mathematical Journal, 2014

Some common fixed-point results for mappings satisfying a nonlinear weak contraction condition wi... more 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 results well-known from the literature.

Acta Universitatis Sapientiae, Mathematica

In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two me... more In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.

Journal of Computational Analysis and Applications, 2008

ABSTRACT The aim of this paper is to generalize the results related to invariant approximation by... more ABSTRACT The aim of this paper is to generalize the results related to invariant approximation by weakening the commutativity hypothesis and by increasing the number of mappings involved.

gazi university journal of science, 2015

The aim of this paper is to prove fixed point theorem with PPF dependence for mappings involving

Symmetry

In this paper, we establish the existence of fixed points of rational type contractions in the se... more In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

Carpathian Journal of Mathematics

In this paper, we introduce the notion of generalized weakly contractive mapping of quadratic typ... more In this paper, we introduce the notion of generalized weakly contractive mapping of quadratic type and we prove fixed point results for this type of mapping. We justify our result by suitable examples and show that this mapping satisfies properties P and Q. Among other things, as corollaries we recover Banach and Kannan fixed point theorems.

Computational and Mathematical Methods

Filomat

The aim of this article is to study common fixed point theorems in generalized metric spaces and ... more The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.

Journal of Mathematics and Computer Science

In this paper, we present the notions of (α, p)-convex contraction (resp. (α, p)-contraction) and... more In this paper, we present the notions of (α, p)-convex contraction (resp. (α, p)-contraction) and asymptotically T 2-regular (resp. (T , T 2)-regular) sequences, and prove fixed point theorems in the setting of metric spaces.

The Journal of Nonlinear Sciences and Applications

In this paper, we present the notion of generalized convex contraction mapping of type-2, which i... more In this paper, we present the notion of generalized convex contraction mapping of type-2, which includes the generalized convex contraction (resp. generalized convex contraction of order-2) of Miandaragh et al. [

Abstract: In this paper, it is observed that the property (E.A.) relatively relaxes the required ... more Abstract: In this paper, it is observed that the property (E.A.) relatively relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates to prove common fixed point theorems. As a consequence, several previously known fixed point theorems in fuzzy metric spaces are generalized and improved

Mathematische Nachrichten, 1990

Bulletin of the Australian Mathematical Society, 1984

In this paper we have established some fixed point theorems in complete and compact metric spaces.

Fixed Point Theory and Applications, 2013

The aim of this work is to study a system of generalized mixed variational inequalities, existenc... more The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases. MSC:47J20, 65K10, 65K15, 90C33.

Sultan Qaboos University Journal for Science [SQUJS]

We prove the existence of a unique common coupled fixed point theorem for four mappings satisfyin... more We prove the existence of a unique common coupled fixed point theorem for four mappings satisfying a general contractive condition on partial b-metric-like spaces. We also give an example to illustrate our main theorem. Our theorem generalizes and improves the theorem of [1].