Set Contractions and KKM Mappings in Banach Spaces by A. Razani, N. Karamikabir

“…Some fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. …”
Get full text

A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions by Guotao Wang, Sanyang Liu, Dumitru Baleanu, Lihong Zhang

“…The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.…”
Get full text

A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions by Ahmed Alsaedi, Bashir Ahmad, Hana Al-Hutami

“…The existence results are obtained by applying some well-known fixed point theorems and illustrated with examples.…”
Get full text

Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces by Wasfi Shatanawi, Mihai Postolache

“…We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. …”
Get full text

On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions by Chanon Promsakon, Nattapong Kamsrisuk, Sotiris K. Ntouyas, Jessada Tariboon

“…In this paper, we investigate the existence and uniqueness of solutions for a boundary value problem for second-order quantum (p,q)-difference equations with separated boundary conditions, by using classical fixed point theorems. Examples illustrating the main results are also presented.…”
Get full text

Notes on Local and Nonlocal Intuitionistic Fuzzy Fractional Boundary Value Problems with Caputo Fractional Derivatives by Ali El Mfadel, Said Melliani, M’hamed Elomari

“…In this paper, we investigate the existence and uniqueness results of intuitionistic fuzzy local and nonlocal fractional boundary value problems by employing intuitionistic fuzzy fractional calculus and some fixed-point theorems. As an application, we conclude this manuscript by giving an example to illustrate the obtained results.…”
Get full text

Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions by Sotiris K. Ntouyas, Jessada Tariboon

“…Some new existence and uniqueness results are obtained by using fixed point theorems. Examples are given to illustrate the results.…”
Get full text

Boundary Value Problems for q-Difference Inclusions by Bashir Ahmad, Sotiris K. Ntouyas

“…By using suitable fixed-point theorems, we study the cases when the right-hand side of the inclusions has convex as well as nonconvex values.…”
Get full text

Coincidence theorems for nonlinear hybrid contractions by Y. J. Cho, B. Fisher, G. S. Genga

“…In this paper, we give some common fixed point theorems for single-valued mappings and multi-valued mappings satisfying a rational inequality. …”
Get full text

Fixed points of multivalued nonexpansive maps by T. Husain, Abdul Latif

“…Fixed point theorems for multivalued contractive-type and nonexpansive-type maps on complete metric spaces and on certain closed bounded convex subsets of Banach spaces have been proved. …”
Get full text

Smooth Solutions of a Class of Iterative Functional Differential Equations by Houyu Zhao

“…By Faà di Bruno’s formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x′(t)=1/(c0x[0](t)+c1x[1](t)+⋯+cmx[m](t)).…”
Get full text

Fixed Point of -Hardy-Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces by Mujahid Abbas, Hassen Aydi, Stojan Radenović

“…We prove some fixed point theorems for a T-Hardy-Rogers contraction in the setting of partially ordered partial metric spaces. …”
Get full text

Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay by Jaydev Dabas, Archana Chauhan, Mukesh Kumar

“…The existence and uniqueness of a mild solution is established using a solution operator and the classical fixed-point theorems.…”
Get full text

Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions by Phollakrit Thiramanus, Sotiris K. Ntouyas, Jessada Tariboon

“…Our results are based on some classical fixed point theorems. Some illustrative examples are also included.…”
Get full text

A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces by Yiliang Liu, Liang Lu

“…Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p-Laplacian equations. …”
Get full text

Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions by N. I. Mahmudov, S. Unul

“…The results are obtained by using fixed point theorems. Two examples are given to illustrate the results.…”
Get full text

On Caristi Type Maps and Generalized Distances with Applications by Wei-Shih Du

“…As applications of our results, some new fixed point theorems and new generalizations of the Banach contraction principle are given.…”
Get full text

On Fixed Point Results in Controlled Metric Spaces by Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Hassen Aydi, Manuel De la Sen

“…In this article, we introduce Reich type contractions and (α,F)-contractions in the class of controlled metric spaces and establish some new related fixed point theorems. Our results are generalizations of some known results of literature. …”
Get full text

Fixed Points of L-Fuzzy Mappings in Ordered b-Metric Spaces by Ismat Beg, Mohamed A. Ahmed, Hatem A. Nafadi

“…We prove common fixed point theorems for weakly commuting and occasionally coincidentally idempotent L-fuzzy mappings in ordered b-metric spaces. …”
Get full text

Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses by Abdelkrim Salim, Mouffak Benchohra, Jamal Eddine Lazreg, Gaston N’Guérékata

“…The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed-point theorems.…”
Get full text