Next Article in Journal
A Mathematical Model of the Transition from Normal Hematopoiesis to the Chronic and Accelerated-Acute Stages in Myeloid Leukemia
Next Article in Special Issue
On Pata–Suzuki-Type Contractions
Previous Article in Journal
Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
Previous Article in Special Issue
Output-Space Branch-and-Bound Reduction Algorithm for a Class of Linear Multiplicative Programs
Open AccessArticle

Ekeland Variational Principle in the Variable Exponent Sequence Spaces p(·)

1
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
2
Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, USA
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 375; https://doi.org/10.3390/math8030375
Received: 12 February 2020 / Revised: 28 February 2020 / Accepted: 2 March 2020 / Published: 7 March 2020
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
In this work, we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces p ( · ) . The core obstacle in the development of a modular version of the EVP is the failure of the triangle inequality for the module. It is the lack of this inequality, which is indispensable in the establishment of the classical EVP, that has hitherto prevented a successful treatment of the modular case. As an application, we establish a modular version of Caristi’s fixed point theorem in p ( · ) . View Full-Text
Keywords: Caristi; Ekeland Variational Principle; Electrorheological fluids; fixed point; modular vector spaces; Nakano; variable exponent sequence spaces Caristi; Ekeland Variational Principle; Electrorheological fluids; fixed point; modular vector spaces; Nakano; variable exponent sequence spaces
MDPI and ACS Style

Alfuraidan, M.R.; Khamsi, M.A. Ekeland Variational Principle in the Variable Exponent Sequence Spaces p(·). Mathematics 2020, 8, 375.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop