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PPF-dependent fixed point results for multi-valued ? F-contractions in Banach Spaces and Applications
(
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 ...
The theta-complete graph Ramsey number R(θn K5) = 4n - 3 for n = 6 and n≥ 10
(
Charles Babbage Research Centre
, 2017 , Article)
For any two graphs F1 and F2, the graph Ramsey number r(F1, F2) is the smallest positive integer N with the property that every graph of at least N vertices contains F1 or its complement contains F2 as a subgraph. In this ...
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
(
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 ...
The Ramsey number for two graphs of order 5
(
Taylor and Francis Ltd.
, 2018 , Article)
For two graphs F1 and F2, the Ramsey number R(F1, F2) is the smallest positive integer r such that for every graph G on r vertices, G contains F1 as a subgraph or the complement of G contains F2 as a subgraph. We present ...
New Multiple-kink solutions and singular-kink-solutions of (2 + 1) - Dimensional coupled burgers system with time variable coefficients
(
American Scientific Publishers
, 2017 , Article)
In this paper, we show that the (2+1)-dimensional coupled Burgers system with time variable coefficients which arise in engineering, chemistry, chemical physics, plasma physics, complex physics and phenomena gives multiple ...
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 ...