scholarly journals Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sirous Moradi ◽  
Erdal Karapınar ◽  
Hassen Aydi
Keyword(s):  
Boundary Value Problem ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Periodic Boundary Value Problem ◽  
Complete Metric Spaces ◽  
Contractive Mappings ◽  
Weakly Contractive

We discuss the existence of solutions for a periodic boundary value problem and for some polynomials. For this purpose, we present some fixed point theorems for weakly and generalized weakly contractive mappings in the setting of partially ordered complete metric spaces.

scholarly journals Fixed Point Results forG-α-Contractive Maps with Application to Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Nawab Hussain ◽  
Vahid Parvaneh ◽  
Jamal Rezaei Roshan
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Existence Of A Solution ◽  
First Order ◽  
Contractive Mappings ◽  
Ordered Space ◽  
Contractive Maps

We unify the concepts ofG-metric, metric-like, andb-metric to define new notion of generalizedb-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes ofG-α-admissible contractive mappings in such spaces are obtained and some new fixed point results are derived in corresponding partially ordered space. Moreover, some examples and an application to the existence of a solution for the first-order periodic boundary value problem are provided here to illustrate the usability of the obtained results.

scholarly journals Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

1995 ◽  
Vol 18 (4) ◽  
pp. 757-764 ◽  
Author(s):  
Juan J. Nieto
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Periodic Boundary Value Problem ◽  
Extremal Solutions ◽  
Monotone Method

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.

scholarly journals Fixed point theorems via w-distance in relational metric spaces with an application

Filomat ◽  
2020 ◽  
Vol 34 (6) ◽  
pp. 1889-1898
Author(s):  
Gopi Prasad
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Binary Relation ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
First Order ◽  
Contractive Mappings

In this paper, we establish fixed point theorems for generalized nonlinear contractive mappings using the concept of w-distance on metric spaces endowed with an arbitrary binary relation. Our fixed point theorems generalize recent results of Senapati and Dey [ J. Fixed Point Theory Appl., 19, 2945-2961, (2017)] and many other important results of the existing literature. Moreover, in order to revel the usability of our findings an example and an application to first order periodic boundary value problem are given.

PERIODIC BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATION

2012 ◽  
Vol 23 (10) ◽  
pp. 1250100 ◽  
Author(s):  
ZHIGANG HU ◽  
WENBIN LIU ◽  
WENJUAN RUI
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equation ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Periodic Boundary Value Problem ◽  
Fractional Differential

In this paper, by using the coincidence degree theory, we consider periodic boundary value problem for fractional differential equation. A new result on the existence of solutions for above fractional boundary value problem is obtained.

Hyers–Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems

2019 ◽  
Vol 27 (3) ◽  
pp. 143-152
Author(s):  
A. Boudaoui ◽  
T. Caraballo ◽  
T. Blouhi
Keyword(s):  
Fixed Point ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Boundary Value ◽  
Ulam Stability ◽  
Random Fixed Point ◽  
Complete Metric Spaces ◽  
Contractive Type ◽  
Stability Results

Abstract In this paper, we prove some existence, uniqueness and Hyers–Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov type fixed point theorem for contractions. Some applications to integral equations and to boundary value problems are also given.

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.

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