-
Article
Mann-type extragradient algorithm for solving variational inequality and fixed point problems
This paper aims to propose a double inertial Mann-type extragradient algorithm using non-monotonic step size and establish a weak convergence result to find a common solution to the variational inequality prob...
-
Article
Strong convergence of best proximity points via projection operators with an application
In this paper, we propose some novel iterative algorithms that converge strongly to the best proximity point using the class of nonexpansive map**s. We also furnish a numerical example to support our claims....
-
Article
Existence of best proximity point in quasi partial metric space with an application
This paper concentrates on the existence of best proximity point for contraction type map**s using the concept of \(\alpha\) ...
-
Article
Coupling, optimization and the effect of binary relation
With a generalized setting of control functions, the present paper is related with numerous best proximity results. The optimal conditions described in the theorem were proved using weak inequalities and admis...
-
Article
Existence of solution for orthogonal \({\mathcal {F}}\) -contraction map**s via Picard–Jungck sequences
In this manuscript, we introduce orthogonal \((\tau ,F_{ST})\) ( τ
-
Article
The Generalized Hyperstability of General Linear Equation in Quasi-2-Banach Space
In this paper, we study the hyperstability for the general linear equation $$f(ax + by) = Af(x) + Bf(y)$$ ...
-
Article
Multivalued problems via orthogonal contraction map**s with application to fractional differential equation
In this manuscript, we give a partial answer to Reich’s problem on multivalued contraction map**s and generalize Mizoguchi–Takahashi’s fixed point theorem using a new approach of multivalued orthogonal ...
-
Article
Open AccessMultivalued weak cyclic δ-contraction map**s
In this paper, we propose some new type of weak cyclic multivalued contraction map**s by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such...
-
Article
Influence of an External Magnetic Field on the Flow of a Casson Fluid in Micro-Annulus Between Two Concentric Cylinders
The steady flow of a Casson fluid within two horizontal coaxial rotating cylinders under the effect of magnetic field has been investigated. The inner and outer cylinders are rotating at a constant angular spe...
-
Article
\(\varvec{C}^{\varvec{*}}\) -algebra-valued partial metric space and fixed point theorems
In this paper, we introduce the notion of \(C^*\) ...
-
Article
Effectiveness of magnetic field on the flow of Jeffrey fluid in an annulus with rotating concentric cylinders
In the present article, the flow of an incompressible Jeffrey fluid in the annulus of rotating concentric cylinders in the presence of magnetic field has been investigated. The governing equations for Jeffrey ...
-
Article
An epidemic model of childhood disease dynamics with maturation delay and latent period of infection
In the present study, an epidemic model is proposed with maturation delay and latent period of infection, kee** in view the childhood disease dynamics and studied the asymptotic behavior of the model for all...
-
Article
Open AccessSome fixed point results for non-decreasing and mixed monotone map**s with auxiliary functions
The purpose of this paper is to provide sufficient conditions for the existence and uniqueness of fixed points for non-decreasing and mixed monotone map**s with auxiliary functions in the framework of metric...
-
Article
Open AccessSome fixed point theorems for (α, β)-admissible Geraghty type contractive map**s and related results
In this paper, we introduced the concept of (α, β)-admissible Geraghty type contractive map**s. Sufficient conditions for the existence of a fixed point for such class of generalized nonlinear contractive mappi...
-
Article
Open AccessSome fixed point theorems for \((\alpha,\psi)\) -rational type contractive map**s
In this paper, we introduce the concept of ( α ...
-
Article
Open AccessFixed point theorems on b-metric spaces for weak contractions with auxiliary functions
In this paper, we obtain some fixed point results for generalized weakly contractive map**s with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corres...
-
Article
Open AccessOptimal solutions for nonlinear proximal -contraction map** in metric space
The objective of this paper is to solve an optimal solutions for new nonlinear map** in the setting of metric spaces. Our results extend, generalize, and improve some known results from best proximity point ...
-
Article
Open AccessAn original coupled coincidence point result for a pair of map**s without MMP
The purpose of this paper is to establish a coupled coincidence point theorem for a pair of map**s without MMP (mixed monotone property) in metric spaces endowed with partial order, which is not an immediate...
-
Article
Open AccessCoupled common fixed point theorems for generalized nonlinear contraction map**s with the mixed monotone property in partially ordered metric spaces
The purpose of this paper is to establish some coupled coincidence point theorems for generalized nonlinear contraction map**s with the mixed g-monotone property in the framework of metric spaces endowed with p...
-
Article
Some Common Fixed Point Results in Partially Ordered Metric Spaces for Generalized Rational Type Contraction Map**s
Some common fixed point results for generalized contractive map**s satisfying rational type expressions in the framework of partially ordered metric spaces are obtained. The results proved generalize and ext...
