Manoj Kumar
YOU?
Author Swipe
View article: Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability
Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability Open
In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past.…
View article: Fixed point theorems for α-admissible mappings in metric like spaces
Fixed point theorems for α-admissible mappings in metric like spaces Open
In this paper, we shall introduce some -admissible contractions and prove some fixed point theorems for such contractions in complete metric like spaces. We shall also provide examples to support the main results.
View article: Energy at the boundary of an elastic and thermoelastic mediums under different theories of thermoelasticity
Energy at the boundary of an elastic and thermoelastic mediums under different theories of thermoelasticity Open
The study examines the impact of various theories on the reflection and transmission phenomena caused by obliquely incident longitudinal and transverse waves at the interface between a continuously elastic solid half-space and a thermoelas…
View article: Fixed point theorems for generalized weakly contractive mapping in S- metric space
Fixed point theorems for generalized weakly contractive mapping in S- metric space Open
In this manuscript we shall prove fixed point results for generalized weakly contractive mapping in complete S-metric spaces. An example is also provided to prove the validity of our results
View article: Common fixed points for generalized weakly contractive maps using simulation function
Common fixed points for generalized weakly contractive maps using simulation function Open
In this paper, first we prove a common fixed point theorem for a pair of weakly compatible maps under generalized weak contractive condition. Secondly, we prove common fixed point theorems for weakly compatible mappings along with E.A. and…
View article: Generalized <i>α</i> − <i>ψ</i> Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces
Generalized <i>α</i> − <i>ψ</i> Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces Open
We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α …
View article: Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction
Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction Open
In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to pr…
View article: Genotypic variations in diverse accessions of linseed (<i>Linum usitatissimum</i> L.) germplasm under <scp>PEG</scp>‐induced water stress and its implications for drought tolerance
Genotypic variations in diverse accessions of linseed (<i>Linum usitatissimum</i> L.) germplasm under <span>PEG</span>‐induced water stress and its implications for drought tolerance Open
Water constraint is a crucial factor in determining the productivity and production of linseed or flaxseed globally. The root system of flaxseed consists of a single taproot mainly confined to the topsoil; thus, the structure of the root s…
View article: Common fixed point theorems for a pair of self-maps in fuzzy metric space
Common fixed point theorems for a pair of self-maps in fuzzy metric space Open
This paper aims to introduce the new concept of rational type fuzzy contraction mappings in fuzzy metric spaces. We prove some fixed point theorems under rational type fuzzy contraction conditions in fuzzy metric spaces with illustrative e…
View article: ON STATISTICAL BOUNDEDNESS IN PARTIAL METRIC SPACES
ON STATISTICAL BOUNDEDNESS IN PARTIAL METRIC SPACES Open
Here in this paper, we have an idea of statistical boundedness for a partial metric space $(X,\varphi)$ where $\varphi$ is partial metric on $X$ and establish the relationship between statistical convergence and statistical boundedness. Be…
View article: A fixed point theorem for weak ()-Jaggi type contraction
A fixed point theorem for weak ()-Jaggi type contraction Open
In this paper, we introduce the weak ()-Jaggi type contraction. The existence and uniqueness of fixed point for such contraction is investigated. It is very helpful in extending the existing results of corresponding literature. In addition…
View article: Fixed point theorem for four self-maps satisfying (CLR) property in fuzzy metric space
Fixed point theorem for four self-maps satisfying (CLR) property in fuzzy metric space Open
In this manuscript, a fixed point theorem for two pairs of weakly compatible self-maps satisfying (CLR) property in fuzzy metric space is proved. Our result extends and unifies several fixed point theorems present in the literature.
View article: Boyd-Wong type contractions in generalized parametric bipolar metric space
Boyd-Wong type contractions in generalized parametric bipolar metric space Open
In this manuscript, we introduce a new notion of generalized parametric bipolar metric space as a generalization of generalized parametric space and bipolar metric space. We also introduce Boyd-Wong type contractions for covariant and cont…
View article: Implicit relation and fixed point theorems in metric spaces for four maps satisfying E.A. property and (CLR) property
Implicit relation and fixed point theorems in metric spaces for four maps satisfying E.A. property and (CLR) property Open
Altun I. and Turkoglu D. proved some fixed point theorems for two pairs of weakly compatible self-mappings satisfying an implicit relation. In this paper, we extend the results proved by Altun and Turkoglu by using E.A. and (CLR) propertie…
View article: BEST PROXIMITY AND FIXED POINT OUTCOMES IN METRIC SPACES FOR THE PROXIMAL CONTRACTION OF α0−(ψ0,g0)
BEST PROXIMITY AND FIXED POINT OUTCOMES IN METRIC SPACES FOR THE PROXIMAL CONTRACTION OF α0−(ψ0,g0) Open
In this paper, we introduce new notions of α0−(ψ0,g0)- proximal contraction of Type-I and Type-II and modified α0 − (ψ0,g0)- proximal contraction. In the setting of these notions, we prove certain fixed point theorems in metric space. Addi…
View article: Fixed Point Results for Generalized Non-linear Operators with Convergence Analysis
Fixed Point Results for Generalized Non-linear Operators with Convergence Analysis Open
The purpose of this research article is to introduce a new iteration scheme and to prove J-iterationconvergence and stability results for it. We also claim the newly introduced iterative scheme has better efficiency than some of the existi…
View article: Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method
Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method Open
In this paper, we prove the Hyers-Ulamstability of different additive-quadratic functional equations in Random Normed Space (RN-Space) by direct and fixed-point method.
View article: Some Fixed Point Theorems for ????-Admissible Mappings in BipolarMetric Spaces
Some Fixed Point Theorems for ????-Admissible Mappings in BipolarMetric Spaces Open
In the present paper, some new contractions are introduced and fixed point theorems for such contractions are proved in bipolar metric spaces. Some examples are also presented to illustrate the main results.
View article: Some Fixed Point Theorems in S-metric Spaces via Simulation Function
Some Fixed Point Theorems in S-metric Spaces via Simulation Function Open
We introduce the concept of generalized \(\beta\) - \(\gamma\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to p…
View article: Time-fractional (2+1)-dimensional navier-stokes equations: similarity reduction and exact solutions for one-parameter lie group of rotations
Time-fractional (2+1)-dimensional navier-stokes equations: similarity reduction and exact solutions for one-parameter lie group of rotations Open
The current study is dedicated to solving the time-fractional (2+1)-dimensional Navier–Stokes model. The model has wide applications in blood flow, in the design of power stations, weather prediction, ocean currents, water flow in a pipe, …
View article: Ulam–Hyers Stability and Well-Posedness of Fixed Point Problems in C*-Algebra Valued Bipolar b-Metric Spaces
Ulam–Hyers Stability and Well-Posedness of Fixed Point Problems in C*-Algebra Valued Bipolar b-Metric Spaces Open
Here, we shall introduce the new notion of C*-algebra valued bipolar b-metric spaces as a generalization of usual metric spaces, C*-algebra valued metric space, b-metric spaces. In the above-mentioned spaces, we shall define (αA−ψA) contra…
View article: Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces
Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces Open
The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varph…
View article: COMMON FIXED POINT RESULTS FOR FOUR SELF - MAPS SATISFYING CONTRACTIVE INEQUALITY OF INTEGRAL TYPE IN METRIC SPACES
COMMON FIXED POINT RESULTS FOR FOUR SELF - MAPS SATISFYING CONTRACTIVE INEQUALITY OF INTEGRAL TYPE IN METRIC SPACES Open
This manuscript consists a common fixed point result for four weakly compatible self-maps ˆ P, ˆ Q, ˆ S, ˆ T on a metric space (M, d∗) satisfying the following contractive inequality of integral type: Z d∗( ˆ Tμ, ˆ Sν) 0 ξ(t)dt ≤ β(d∗(μ, ν…