Two New Geraghty Type Contractions in Gb-Metric Spaces by Yixiao Wang, Chunfang Chen

“…In this work, two Geraghty type contractions are introduced in Gb-metric spaces, and some fixed point theorems about the contractions are proved. At the end of this article, a theorem about unique solution of an integral function is proved.…”
Get full text

Fixed Point Results in Quasi-Cone Metric Spaces by Fawzia Shaddad, Mohd Salmi Md Noorani

“…The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. …”
Get full text

Fixed Point Results via G-Function over the Complete Partial b-Metric Space by Sara Salem Alzaid, Andreea Fulga, Badr Alqahtani

“…In this paper, we consider an auxiliary function G to combine and unify several existing fixed point theorems in the setting of the complete partial b-metric space. …”
Get full text

A generalization of contraction principle by K. M. Ghosh

“…Using the generalized mean value contraction, some fixed point theorems are discussed.…”
Get full text

Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces by Chi-Ming Chen, W. Y. Sun

“…Our results generalize or improve many recent fixed point theorems in the literature.…”
Get full text

Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces by Dušan Ðukić, Zoran Kadelburg, Stojan Radenović

“…Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. …”
Get full text

The fixed point index for accretive mapping with K—set contraction perturbation in cones by Yu-Qing Chen

“…Let P be cone Banach space E, A, K are two mappings in P, A accretive, K is K—set contraction, then fixed point index defined for mapping −A+K, some fixed point theorems are also deduced.…”
Get full text

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 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

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