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Papers by Fatemeh Lael

Research paper thumbnail of Compact Operators Defined on 2-Normed and 2-Probabilistic Normed Spaces

Mathematical Problems in Engineering, 2009

The compact operators defined on2-normed spaces are investigated, and then the main ideas are gen... more The compact operators defined on2-normed spaces are investigated, and then the main ideas are generalized to operators defined on2-probabilistic normed spaces.

Research paper thumbnail of Convexity and boundedness relaxation for fixed point theorems in modular spaces

Applied General Topology

Although fixed point theorems in modular spaces have remarkably applied to a wide variety of math... more Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems in normed vector spaces. A recent trend of research has been dedicated to studying the fundamentals of fixed point theorems and relaxing their assumptions with the ambition of pushing the boundaries of fixed point theory in modular spaces further. In this paper, we focus on convexity and boundedness of modulars in fixed point results taken from the literature for contractive correspondence and single-valued mappings. To relax these two assumptions, we seek to identify the ties between modular and b-metric spaces. Afterwards we present an application to a particular form of integral inclusions to support our generalized version of Nadler’s theorem in modular spaces.

Research paper thumbnail of Fuzzy ?-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application

Axioms

In this paper we introduce the concepts of ψ -contraction and monotone ψ -contraction corresponde... more In this paper we introduce the concepts of ψ -contraction and monotone ψ -contraction correspondence in “fuzzy b -metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and “fuzzy b -metric spaces”. Further we address an open problem in b -metric and “fuzzy b -metric spaces”. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.

Research paper thumbnail of The role of regularity to reach the vector valued version of Caristi's fixed point theorem

Research paper thumbnail of Fuzzy compact linear operators

In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and invest... more In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and investigate some important general properties of them.

Research paper thumbnail of Fixed point theorems for a class of generalized nonexpansive mappings

Fixed Point Theory and Applications, 2016

Research paper thumbnail of On the Fixed Points of Correspondences in Modular Spaces

Research paper thumbnail of Some results on the IF-normed spaces

Chaos, Solitons & Fractals, 2008

ABSTRACT

Research paper thumbnail of Fuzzy compact linear operators

Chaos, Solitons & Fractals, 2007

In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and invest... more In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and investigate some important general properties of them.

Research paper thumbnail of Fixed Points of Mappings Defined on Probabilistic Modular Spaces

Research paper thumbnail of The role of regularity to reach the vector valued version of Caristi's fixed point theorem

Research paper thumbnail of Some results on the< i> IF</i>-normed spaces

Research paper thumbnail of Compact Operators Defined on 2-Normed and 2-Probabilistic Normed Spaces

Mathematical Problems in Engineering, 2009

The compact operators defined on 2-normed spaces are investigated, and then the main ideas are ge... more The compact operators defined on 2-normed spaces are investigated, and then the main ideas are generalized to operators defined on 2-probabilistic normed spaces.

Research paper thumbnail of Compact Operators Defined on 2-Normed and 2-Probabilistic Normed Spaces

Mathematical Problems in Engineering, 2009

The compact operators defined on2-normed spaces are investigated, and then the main ideas are gen... more The compact operators defined on2-normed spaces are investigated, and then the main ideas are generalized to operators defined on2-probabilistic normed spaces.

Research paper thumbnail of Convexity and boundedness relaxation for fixed point theorems in modular spaces

Applied General Topology

Although fixed point theorems in modular spaces have remarkably applied to a wide variety of math... more Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems in normed vector spaces. A recent trend of research has been dedicated to studying the fundamentals of fixed point theorems and relaxing their assumptions with the ambition of pushing the boundaries of fixed point theory in modular spaces further. In this paper, we focus on convexity and boundedness of modulars in fixed point results taken from the literature for contractive correspondence and single-valued mappings. To relax these two assumptions, we seek to identify the ties between modular and b-metric spaces. Afterwards we present an application to a particular form of integral inclusions to support our generalized version of Nadler’s theorem in modular spaces.

Research paper thumbnail of Fuzzy ?-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application

Axioms

In this paper we introduce the concepts of ψ -contraction and monotone ψ -contraction corresponde... more In this paper we introduce the concepts of ψ -contraction and monotone ψ -contraction correspondence in “fuzzy b -metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and “fuzzy b -metric spaces”. Further we address an open problem in b -metric and “fuzzy b -metric spaces”. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.

Research paper thumbnail of The role of regularity to reach the vector valued version of Caristi's fixed point theorem

Research paper thumbnail of Fuzzy compact linear operators

In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and invest... more In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and investigate some important general properties of them.

Research paper thumbnail of Fixed point theorems for a class of generalized nonexpansive mappings

Fixed Point Theory and Applications, 2016

Research paper thumbnail of On the Fixed Points of Correspondences in Modular Spaces

Research paper thumbnail of Some results on the IF-normed spaces

Chaos, Solitons & Fractals, 2008

ABSTRACT

Research paper thumbnail of Fuzzy compact linear operators

Chaos, Solitons & Fractals, 2007

In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and invest... more In this paper, we introduce fuzzy compact linear operators between fuzzy normed spaces and investigate some important general properties of them.

Research paper thumbnail of Fixed Points of Mappings Defined on Probabilistic Modular Spaces

Research paper thumbnail of The role of regularity to reach the vector valued version of Caristi's fixed point theorem

Research paper thumbnail of Some results on the< i> IF</i>-normed spaces

Research paper thumbnail of Compact Operators Defined on 2-Normed and 2-Probabilistic Normed Spaces

Mathematical Problems in Engineering, 2009

The compact operators defined on 2-normed spaces are investigated, and then the main ideas are ge... more The compact operators defined on 2-normed spaces are investigated, and then the main ideas are generalized to operators defined on 2-probabilistic normed spaces.

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