2024-03-29T11:28:05Z
https://www.cna-journal.com/?_action=export&rf=summon&issue=11964
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2016
1
2
Proximal pairs and P-KKM mappings
Abdolrahman
Razani
Nasrin
Karamikabir
We introduced a new class of multi-valued mappings, called P-KKM mappings, which generalized the notationof R-KKM maps of Raj and Somasundaram [KKM-type theorem for best proximity points, AppliedMathematics Letters, 25 (2012), 496-499] and appropriate to best proximity theory. An analog version ofKKM property and a common fixed point theorem is also proved.
P-KKM mapping
proximal pair
normed linear space
2016
06
01
37
41
https://www.cna-journal.com/article_89538_d8b09b147cb5ee8a413f7b0931c4bf96.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2016
1
2
Fixed Point And Coupled Fixed Point Theorems For Multivalued Contractions With Respect To The Excess Functional
Iulia
Coroian
Gabriela
Petrusel
In this paper, we will consider the coupled fixed point problem for a multi-valued operator satisfying acontraction condition with respect to the excess functional in b-metric spaces. The approach is basedon a fixed point theorem for a multi-valued operator in the setting of a b-metric space. On one hand,we will consider the problem of the existence of the solutions and on the other hand, data dependence,well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled fixed point problem arediscussed. Some applications to a system of integral inclusions and to a multi-valued periodic boundaryvalue problem are also given. c
multi-valued operator
ordered metric space
coupled fixed point
data dependence
well-posedness
Ulam-Hyers stability
limit shadowing
system of integral inclusions
multi-valued periodic boundary value problem
2016
06
01
42
62
https://www.cna-journal.com/article_89722_55f9d5a9d16fab0360c7f33d5f843f19.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2016
1
2
Some common fixed point theorems for single valued mappings in G-ultrametric spaces
Hamid
Mamghaderi
Hashem
Parvaneh Masiha
The purpose of this paper is to prove some common fixed point theorems for a single valued stronglycontractive mapping having a pair of maps on a spherically complete G-ultrametric space. c ⃝2016 All rightsreserved.
fixed point
spherically complete G-ultrametric space
strongly contractive mapping
common fixed point
2016
06
01
63
69
https://www.cna-journal.com/article_89723_5aba0ece57e16673e9cbaa6c3ca366c1.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2016
1
2
On the existence of solution for a singular Riemann-Liouville fractional differential system by using measure of non-compactness
Shahram
Rezapour
Mehdi
Shabibi
We investigate the existence of solution for a singular fractional differential system with Riemann-Liouvilleintegral boundary conditions by using the measure of non-compactness.
We investigate the existence of solution for a singular fractional differential system with Riemann-Liouville
integral boundary conditions by using the measure of non-compactness
2016
06
01
70
78
https://www.cna-journal.com/article_89724_90a31b0606b93c7911dc69a23aea260b.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2016
1
2
Best Proximity Point for Presic Type Mappings on Metric Spaces
Mehdi
Omidvari
In this paper, we define the best proximity point for Preˇ si´ c type non-self mappings and prove some bestproximity point theorems in complete metric spaces. c
Best proximity point
weak P-property
Presic type mappings
2016
06
01
79
83
https://www.cna-journal.com/article_89725_d8859816d8f036e67b993b818f9eddf3.pdf