$Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations$

Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations

The aim of this manuscript is to establish common fixed points results for multi-valued mappings via generalized rational type contractions in complete b-metric spaces. Using the derived results, existence of solutions to certain integral equations and fractional differential equations in the frame...

Full description

Bibliographic Details
Main Authors:	Muhammad Shoaib, Thabet Abdeljawad, Muhammad Sarwar, Fahd Jarad
Format:	Article
Language:	English
Published:	IEEE 2019-01-01
Series:	IEEE Access
Subjects:	Common fixed points <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">b</italic>-metric space set valued mappings generalized rational type contraction system of integral equation
Online Access:	https://ieeexplore.ieee.org/document/8821280/

Similar Items

<inline-formula> <tex-math notation="LaTeX">$t/t$ </tex-math></inline-formula>-Diagnosability and <inline-formula> <tex-math notation="LaTeX">$t/k$ </tex-math></inline-formula>-Diagnosability for Augmented Cube Networks
by: Jiarong Liang, et al.
Published: (2018-01-01)

Antimagicness of <inline-formula> <tex-math notation="LaTeX">$mC_n$ </tex-math></inline-formula>-Path and Its Disjoint Union
by: Yi Hu, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\tau$ </tex-math></inline-formula>-Safe (<inline-formula> <tex-math notation="LaTeX">$l,k$ </tex-math></inline-formula>)-Diversity Privacy Model for Sequential Publication With High Utility
by: Hui Zhu, et al.
Published: (2019-01-01)

On a Family of Quantum Synchronizable Codes Based on the <inline-formula> <tex-math notation="LaTeX">$(\lambda(u + v)|u - v)$ </tex-math></inline-formula> Construction
by: Chao Du, et al.
Published: (2020-01-01)

The <inline-formula> <tex-math notation="LaTeX">$G_M$ </tex-math></inline-formula>-Contraction Principle for Mappings on an <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-Metric Spaces Endowed With a Graph and Fixed Point Theorems
by: Nizar Souayah, et al.
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">${L_{2,1}}$ </tex-math></inline-formula>-Norm Discriminant Manifold Learning
by: Yang Liu, et al.
Published: (2018-01-01)

Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications
by: Chunyan Luo, et al.
Published: (2019-01-01)

Cascaded <inline-formula> <tex-math notation="LaTeX">$\alpha-\mu$ </tex-math></inline-formula> Fading Channels: Reliability and Security Analysis
by: Long Kong, et al.
Published: (2018-01-01)

New Bounds for All Types of Multi-state Consecutive <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Out-of-<inline-formula> <tex-math notation="LaTeX">$r$ </tex-math></inline-formula>-From-<inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>: F System Reliability
by: Taha Radwan
Published: (2019-01-01)

Structure Connectivity and Substructure Connectivity of <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Ary <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Cube Networks
by: Guozhen Zhang, et al.
Published: (2019-01-01)

Lossless <inline-formula> <tex-math notation="LaTeX">$(k,n)$ </tex-math></inline-formula>-Threshold Image Secret Sharing Based on the Chinese Remainder Theorem Without Auxiliary Encryption
by: Longlong Li, et al.
Published: (2019-01-01)

MGF-Based Analysis of Spectrum Sensing Over <inline-formula> <tex-math notation="LaTeX">$K-\mu$ </tex-math></inline-formula> Fading Channels for 5G Cognitive Networks
by: Guangqian Chu, et al.
Published: (2018-01-01)

Best Proximity Point Results for <inline-formula> <tex-math notation="LaTeX">$\gamma$ </tex-math></inline-formula>-Controlled Proximal Contraction
by: Muhammad Usman Ali, et al.
Published: (2019-01-01)

Fault-Tolerant Control of Multi-Agent Systems With Saturation and <inline-formula> <tex-math notation="LaTeX">${L_{2}}$ </tex-math></inline-formula>-Disturbances
by: Wei Guan, et al.
Published: (2020-01-01)

<inline-formula> <tex-math notation="LaTeX">$L_{21}$ </tex-math></inline-formula>-Norm Based Loss Function and Regularization Extreme Learning Machine
by: Rui Li, et al.
Published: (2019-01-01)

On Physical Layer Security Over the Fisher-Snedecor <inline-formula> <tex-math notation="LaTeX">${\mathcal{F}}$ </tex-math></inline-formula> Wiretap Fading Channels
by: Long Kong, et al.
Published: (2018-01-01)

Group <inline-formula> <tex-math notation="LaTeX">$L_{1/2}$ </tex-math></inline-formula> Regularization for Pruning Hidden Layer Nodes of Feedforward Neural Networks
by: Habtamu Zegeye Alemu, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\ell_P$ </tex-math></inline-formula> Norm Independently Interpretable Regularization Based Sparse Coding for Highly Correlated Data
by: Haoli Zhao, et al.
Published: (2019-01-01)

140-GHz <inline-formula> <tex-math notation="LaTeX">$TE_{340}$ </tex-math></inline-formula>-Mode Substrate Integrated Cavities-Fed Slot Antenna Array in LTCC
by: Jun Xiao, et al.
Published: (2019-01-01)

Robust <inline-formula> <tex-math notation="LaTeX">${L_{2}} - {L_{\infty}}$ </tex-math></inline-formula> Filter Design for Uncertain 2-D Continuous Nonlinear Delayed Systems With Saturation
by: Zhaoxia Duan, et al.
Published: (2018-01-01)

Discovering Regulators in Post-Transcriptional Control of the Biological Clock of <inline-formula> <tex-math notation="LaTeX">$Neurospora~crassa$ </tex-math></inline-formula> Using Variable Topology Ensemble Methods on GPUs
by: Ahmad Al-Omari, et al.
Published: (2018-01-01)

Novel Low Turn-Off Loss Trench-Gate FS-IGBT With a Hybrid <inline-formula> <tex-math notation="LaTeX">$p^{{+}}/{n}$ </tex-math></inline-formula> Collector Structure
by: Kui Ma, et al.
Published: (2019-01-01)

Availability Analysis and Optimal Design of Multistate Weighted <inline-formula> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula>-Out-of-<inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula> Systems With Component Performance Requirements
by: Zhiwei Chen, et al.
Published: (2018-01-01)

Reliable <inline-formula> <tex-math notation="LaTeX">${L_{2}} - {L_{\infty} }$ </tex-math></inline-formula> State Estimation for Markovian Jump Reaction-Diffusion Neural Networks With Sensor Saturation and Asynchronous Failure
by: Xiaona Song, et al.
Published: (2018-01-01)

An Improved <inline-formula> <tex-math notation="LaTeX">$A^{\ast}$ </tex-math></inline-formula> Decoding Algorithm With List Decoding
by: Bin Xu, et al.
Published: (2018-01-01)

Does <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Anonymous Microaggregation Affect Machine-Learned Macrotrends?
by: Ana Rodriguez-Hoyos, et al.
Published: (2018-01-01)

Resonance <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-Laplacian Problem in Edge Device Control of IoT
by: Jing Qiu, et al.
Published: (2019-01-01)

An Improved Sarsa(<inline-formula> <tex-math notation="LaTeX">$\lambda$ </tex-math></inline-formula>) Reinforcement Learning Algorithm for Wireless Communication Systems
by: Hao Jiang, et al.
Published: (2019-01-01)

An Efficient Local Search Algorithm for the Minimum <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Dominating Set Problem
by: Ruizhi Li, et al.
Published: (2018-01-01)

Overcomplete Transform Learning With the <inline-formula> <tex-math notation="LaTeX">$log$ </tex-math></inline-formula> Regularizer
by: Zhenni Li, et al.
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">$HT$ </tex-math></inline-formula>: A Novel Labeling Scheme for k-Hop Reachability Queries on DAGs
by: Ming Du, et al.
Published: (2019-01-01)

Optimal Representation for Web and Social Network Graphs Based on <inline-formula> <tex-math notation="LaTeX">${K}^{2}$ </tex-math></inline-formula>-Tree
by: Fengying Li, et al.
Published: (2019-01-01)

A H<inline-formula> <tex-math notation="LaTeX">$_{\infty}$ </tex-math></inline-formula> PI<inline-formula> <tex-math notation="LaTeX">$_{\varepsilon}$ </tex-math></inline-formula>D-Based Observer Designed by LMI for Some Special System
by: Yong Sun, et al.
Published: (2019-01-01)

Mandelbrot and Julia Sets via Jungck–CR Iteration With <inline-formula> <tex-math notation="LaTeX">$s$ </tex-math></inline-formula>–Convexity
by: Young Chel Kwun, et al.
Published: (2019-01-01)

Reverse Spatial Visual Top-<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> Query
by: Lei Zhu, et al.
Published: (2020-01-01)

Event-Triggered <inline-formula> <tex-math notation="LaTeX">${H}_{\infty}$ </tex-math></inline-formula> Control for Uncertain Markov Jump Systems With Nonlinear Input
by: Yueyuan Zhang, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\text{H}_{\infty}$ </tex-math></inline-formula> Control Design of PID-Like Controller for Speed Drive Systems
by: Po-Jen Ko, et al.
Published: (2018-01-01)

High Order Mesh Denoising via <inline-formula> <tex-math notation="LaTeX">$\ell_{P}$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\ell_{1}$ </tex-math></inline-formula> Minimization
by: Zheng Liu, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\ell_\infty$ </tex-math></inline-formula>-Gain Analysis of Discrete-Time Positive Singular Systems With Time-Varying Delays
by: Yukang Cui, et al.
Published: (2019-01-01)

Modeling the Temporal Population Distribution of <inline-formula> <tex-math notation="LaTeX">$Ae.~aegypti$ </tex-math></inline-formula> Mosquito Using Big Earth Observation Data
by: Oladimeji Mudele, et al.
Published: (2020-01-01)