Zhao, Chang-Jian
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

In this paper, we first propose and establish an Orlicz log-Minkowski inequality for affine surface areas by introducing new concepts of affine surface area measures and using the newly established Orlicz Minkowski inequality for mixed affine surface areas. The new Orlicz log-Minkowski inequality in special cases yields the classical Minkowski ineq...

Abel, Ulrich Gupta, Vijay
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

A correction to this paper has been published: https://doi.org/10.1007/s13398-021-01069-5

Karaman, Bahar
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

This study investigates new exact solutions of the time-fractional Benjamin–Ono equation by using the improved-F expansion method. Here, the time-fractional derivative is considered in terms of Conformable fractional derivative (CFD). At first, the fractional complex transform is used to convert the time-fractional Benjamin–Ono equation to an ordin...

Bernal-González, Luis del Carmen Calderón-Moreno, María
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Under natural assumptions about the measure spaces, the topological size as well as the algebraic size of the family of measurable real functions on the product measure space satisfying or not the conclusion of the Fubini theorem are analyzed. In particular, a (nontrivial) nonlineable set is provided.

Gregori, Valentín Miñana, Juan-José
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. The difficulty of demonstrating a fixed point theorem in such kind of spaces makes the authors to demand extra conditions on the space other than completeness. In this paper, we introduce a new version of the celebrated Banach contracion principle in the c...

Marciszewski, Witold
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

We discuss two problems concerning the class Eberlein compacta, i.e., weakly compact subspaces of Banach spaces. The first one deals with preservation of some classes of scattered Eberlein compacta under continuous images. The second one concerns the known problem of the existence of nonmetrizable compact spaces without nonmetrizable zero-dimension...

Ka̧kol, Jerzy Moll-López, Santiago
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

It is well known that the property of being a bounded set in the class of topological vector spaces E is not a topological property, where a subset B⊂E\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidema...

Mir, Abdullah Breaz, Daniel
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

This paper considers the well known Bernstein and Turán-type inequalities that relate the uniform norm of a polynomial to that of its derivative on the unit circle in the plane. Here, we establish some new inequalities that relate the uniform norm of the polar derivative and the polynomial, in case when the zeros are inside or outside some closed d...

Gibali, Aviv Salahuddin,
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

In this work we study various gap functions for the generalized multivalued mixed variational-hemivariational inequality problems by using the (τM,σM)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemar...

Wattanapan, Jaturon Atiponrat, Watchareepan Suksumran, Teerapong
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

A strongly generated gyrogroup is a gyrogroup that comes with a specific generating set invariant under its gyroautomorphisms, which may be viewed as a suitable generalization of a group. The achievement of constructing a word metric on a strongly generated gyrogroup, together with the recent notion of a gyrogroup action, prompts us to extend the Š...