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PPF-dependent fixed point results for multi-valued ? F-contractions in Banach Spaces and Applications
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MDPI AG
, 2019 , Article)
The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f (x) = x. One of such examples is that of the famous Borsuk-Ulam theorem, in which using some fixed ...
A best proximity point theorem for special generalized proximal ?-quasi contractive mappings
(
Springer
, 2019 , Article)
In this paper, we obtain some best proximity point results for a new class of non-self mappings T: A? B called special generalized proximal ?-quasi contractive. Our result is illustrated by an example. Several consequences ...
Generalization of best proximity points theorem for non-self proximal contractions of first kind
(
Springer International Publishing
, 2019 , Article)
The primary objective of this paper is the study of the generalization of some results given by Basha (Numer. Funct. Anal. Optim. 31:569-576, 2010). We present a new theorem on the existence and uniqueness of best proximity ...
Ordered Sp -metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems
(
Springer International Publishing
, 2019 , Article)
In this paper, we introduce the structure of Sp-metric spaces as a generalization of both S-metric and Sb-metric spaces. Also, we present the notions of S?-contractive mappings in the setup of ordered Sp-metric spaces and ...
Construction of (n+ 1) -dimensional dual-mode nonlinear equations: multiple shock wave solutions for (3 + 1) -dimensional dual-mode Gardner-type and KdV-type
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Springer International Publishing
, 2019 , Article)
The goal of this study is to offer an exclusive functional conversion to produce (n+ 1) -dimensional dual-mode nonlinear equations. This transformation has been implemented and new (3 + 1) -dimensional dual-mode Gradner-type ...
Extended rectangular b-metric spaces and some fixed point theorems for contractive mappings
(
MDPI AG
, 2019 , Article)
In this paper, we introduce the class of extended rectangular b-metric spaces as a generalization of both rectangular metric and rectangular b-metric spaces. In addition, some fixed point results connected with certain ...
Fixed point results using Ft-contractions in ordered metric spaces having t-property
(
MDPI AG
, 2019 , Article)
In this paper, we prove the existence of fixed points of Ft-contraction mappings in partially ordered metric spaces not necessarily complete. We require that the ordered metric space has the t-property, which is a new ...
Multi-soliton solutions of the BBM equation arisen in shallow water
(
International Scientific Research Publications
, 2016 , Article)
In this work, multiple soliton solutions and multiple singular soliton solutions are formally derived for the BBM equation. A novel transformation method combined with the Hirota's bilinear method are used to determine the ...
A new numerical method for heat equation subject to integral specifications
(
International Scientific Research Publications
, 2016 , Article)
We develop a numerical technique for solving the one-dimensional heat equation that combine classical and integral boundary conditions. The combined Laplace transform, high-precision quadrature schemes, and Stehfest inversion ...
Solving Integral Equations Using Weakly Compatible Mappings via D*-Metric Spaces
(
MDPI
, 2022 , Article)
We introduce a new pair of mappings (S, T) on D∗-metric spaces called DS∗-W.C. and DR∗S-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, ...