scholarly journals Coupled fixed point theorems and applications to periodic boundary value problems

2013 ◽  
Vol 14 (1) ◽  
pp. 323 ◽  
Author(s):  
Cristina Urs
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Coupled Fixed Point ◽  
Periodic Boundary Value Problems

scholarly journals Ordered $S_{p}$-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Z. Mustafa ◽  
R. J. Shahkoohi ◽  
V. Parvaneh ◽  
Z. Kadelburg ◽  
M. M. M. Jaradat
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Boundary Value ◽  
Contractive Mappings ◽  
Periodic Boundary Value Problems

Abstract In this paper, we introduce the structure of $S_{p}$ S p -metric spaces as a generalization of both S-metric and $S_{b}$ S b -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered $S_{p}$ S p -metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. An application to periodic boundary value problems is presented.

scholarly journals Positive Solutions to Periodic Boundary Value Problems for Four-Order Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
Huantao Zhu ◽  
Zhiguo Luo
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Multiple Positive Solutions ◽  
Periodic Boundary Value Problems

We apply fixed point theorem in a cone to obtain sufficient conditions for the existence of single and multiple positive solutions of periodic boundary value problems for a class of four-order differential equations.

Fixed point theorems in complete modular metric spaces and an application to anti-periodic boundary value problems

Filomat ◽  
2017 ◽  
Vol 31 (17) ◽  
pp. 5475-5488 ◽  
Author(s):  
Ümit Aksoy ◽  
Erdal Karapınar ◽  
İnci Erhan
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Boundary Value ◽  
Existence Of A Solution ◽  
Modular Metric Spaces ◽  
Periodic Boundary Value Problems ◽  
Theoretical Results

In this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Carath?odory?s type is considered in the framework of modular metric spaces.

scholarly journals MULTIPLE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST-ORDER DIFFERENCE EQUATIONS

2008 ◽  
Vol 78 (1) ◽  
pp. 1-11
Author(s):  
DA-BIN WANG
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problems ◽  
Point Theorem ◽  
Multiple Solutions ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Order Difference ◽  
First Order ◽  
Periodic Boundary Value Problems

AbstractIn this paper, existence criteria for multiple solutions of periodic boundary value problems for the first-order difference equation are established by using the Leggett–Williams multiple fixed point theorem and fixed point theorem of cone expansion and compression. Two examples are also given to illustrate the main results.

scholarly journals Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Huiqin Lu
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Multiple Positive Solutions ◽  
First Order ◽  
Periodic Boundary Value Problems ◽  
The Fixed Point Theorem ◽  
Special Cone

By constructing a special cone inC1[0,2π]and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results.

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