Communications in Nonlinear AnalysisCommunications in Nonlinear Analysis
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Feed provided by Communications in Nonlinear Analysis. Click to visit.PPF Dependent Fixed Points Of Generalized Contractions Via C_G-Simulation Functions
http://www.cna-journal.com/article_93044_12733.html
In this paper, we introduce the notion of generalized ZG,α,μ,η,φ -contractionwith respect to the C_G-simulation function introduced by Liu, Ansari, Chandokand Radenovic [20] and prove the existence of PPF dependent fixed points inBanach spaces. We draw some corollaries and an example is provided to illustrateour main result.Mon, 30 Sep 2019 20:30:00 +0100Common Fixed Points of (α,Ψ,φ)- Almost Generalized Weakly Contractive Maps in S-metric spaces
http://www.cna-journal.com/article_93094_12733.html
In this paper, we introduce a pair of (α,Ψ,φ)-almost generalized weakly contractive maps in S-metric spaces and prove the existence and uniqueness of common fixed points of such maps under weakly compatible property. Our results extend and generalize the results of Babu and Leta to a pair of maps in S-metric spaces and also generalize the result of Sedghi, Shobe, and Aliouche. We provide examples in support of our results.Mon, 30 Sep 2019 20:30:00 +0100Fixed Point Results for Multivalued Operator in G-metric Space
http://www.cna-journal.com/article_92588_12733.html
In this paper, we shall give some results on xed points of multivalued operator on Gmetric spaces by using the method of Kikkawa [6]. Our results generalize and extend some old xed point theorems to the multivalued case.Mon, 30 Sep 2019 20:30:00 +0100Fixed points of involution mappings in convex uniform spaces
http://www.cna-journal.com/article_95378_12733.html
In this paper, we study some fixed point theorems for self-mappings satisfying certain contraction principles on a $S$-complete convex Hausdorff uniform space, these theorems generalize previously obtained results in convex metric space and convex partial metric space.Mon, 30 Sep 2019 20:30:00 +0100Global Existence of Solutions for A Gierer-Meinhardt System with Two Activators and Two Inhibitors
http://www.cna-journal.com/article_95603_12733.html
This paper deals with a Gierer-Meinhardt model with 2 activators and 2 inhibitors described by a reaction-diffusion system with fractional reactions. The purpose of this paper is to prove the existence of a global solution. Our technique is based on a suitable Lyapunov functional.Mon, 30 Sep 2019 20:30:00 +0100Fixed point theorems on a quaternion-valued G-metric spaces
http://www.cna-journal.com/article_93096_12733.html
In this paper, we introduce the concept of a quaternion-valued $G$-metric spaces which generalize real-valued $G$-metric spaces, complex-valued $G$-metric spaces, real-valued metric spaces and complex-valued metric spaces known in the literature. Analogous the Banach contraction principle, Kannan's and Chatterjea's fixed point theorem are proved. Our results generalize many known results in fixed point theory.Mon, 30 Sep 2019 20:30:00 +0100Some new common fixed point theorems for Geraghty contraction type maps in partial metric spaces
http://www.cna-journal.com/article_95504_12733.html
In this paper, we prove some new common fixed point theorems for Geraghtys type contraction mappings on partial metric spaces. Theorems presented are generalizations of fixed point theorems of Altun et al. [Generalized Geraghty type mappings on partial metric spaces and fixed point results, Arab. J. Math. 2, (2013), no. 3, 247-253]. We also give some examples to illustrate the usability of the obtained resultsMon, 30 Sep 2019 20:30:00 +0100Convergence of CR-iteration procedure for a nonlinear quasi contractive map in convex metric spaces
http://www.cna-journal.com/article_96835_12733.html
We prove that the modified CR-iteration procedure converges strongly to a fixed pointof a generalized quasi contraction map in convex metric spaces which is the main resultof this paper. The convergence of Picard-S iteration procedure follows as a corollary toour main result.Mon, 30 Sep 2019 20:30:00 +0100Existence of Positive Solutions for $2n^{text {th}}$ Order Lidstone Boundary Value Problems ...
http://www.cna-journal.com/article_96836_0.html
In this paper, we establish the existence of positive solutions for $2n^{text {th}}$ order Lidstone boundary value problems with $p$-Laplacian of the form$$(-1)^n[phi_{p}(y^{(2n-2)}(t)-k^2y^{(2n-4)}(t))]''=f(t,y(t)), ~~t in [0, 1], $$$$y^{(2i)}(0)=0=y^{(2i)}(1), $$for $0leq i leq n-1,$ where $ngeq 2$ and $k>0$ is a constant, by applying Guo--Krasnosel'skii fixed point theorem.Fri, 29 Nov 2019 20:30:00 +0100Periodic and fixed points of the Leader-type contractions in quasi-triangular spaces]{Periodic ...
http://www.cna-journal.com/article_96837_0.html
Let (C={C_{alpha}}_{alphainmathcal{A}}in[1;infty)^{mathcal{A}}) with index set (mathcal{A}). A quasi-triangular space ((X,mathcal{P}_{C;mathcal{A}})) is a set X with family (mathcal{P}_{C;mathcal{A}}={p_{alpha}:X^{2}rightarrow[0,infty),alpha in mathcal{A}}) satisfying (forall_{alphainmathcal{A}}forall _{u,v,win X}{p_{alpha}(u,w)leq C_{alpha}[p_{alpha }(u,v)+p_{alpha }(v,w)]}). In ((X,mathcal{P}_{C;mathcal{A}})), using the left (right) families (mathcal{J}_{C;mathcal{A}}) generated by (mathcal {P}_{C;mathcal{A}}) ((mathcal{P}_{C;mathcal{A}}) is a particular case of (mathcal {J}_{C;mathcal{A}})), we establish theorems concerning left (right) (mathcal {P}_{C;mathcal{A}})-convergence, existence, periodic point, fixed point, and (when((X,mathcal{P}_{C;mathcal{A}})) is separable) uniqueness for (mathcal{J}_{C;mathcal{A}})-contractions and weak (mathcal {J}_{C;mathcal{A}})-contractions (T:Xrightarrow X) satisfying begin{eqnarray*}begin{aligned} & forall_{x,yin X}forall _{alphainmathcal{A}}forall_{varepsilon>0}exists_{eta >0}exists _{rinmathbb{N}}forall_{s,linmathbb{N}} {J_{alpha }(T^{[s]}(x),T^{[s+r]}(x)) + J_{alpha }(T^{[l]}(y),T^{[l+r]}(y)) < eta+varepsilon & Rightarrow C_{alpha }J_{alpha}(T^{[s+r]}(x),T^{[l+r]}(y))0}exists_{eta>0}exists_{rinmathbb{N}} forall_{s,lin mathbb{N}} {J_{alpha}(T^{[s+r]}(w^{0}), T^{[s]}(w^{0}))+J_{alpha}(T^{[l]}(w^{0}), T^{[l+r]}(w^{0}))Fri, 29 Nov 2019 20:30:00 +0100