Some Results on Fixed Points

关于“Fixed Points in Fuzzy Metric Spaces”一文的注记

In this article, in the sequel of extending b-metric spaces, we modify controlled metric type spaces via two control functions α ( x , y ) and μ ( x , y ) on the right-hand side of the b - triangle inequality, that is, d ( x , y ) ≤ α ( x , z ) d ( x , z ) + μ ( z , y ) d ( z , y ) , for all x , y , z ∈ X . Some examples of a double controlled metric type space by two incomparable functions, which is not a controlled metric type by one of the given functions, are presented. We also provide some fixed point results involving Banach type, Kannan type and ϕ -nonlinear type contractions in the setting of double controlled metric type spaces.

https://www.mdpi.com/2227-7390/6/12/320/pdf

Double Controlled Metric Type Spaces and Some Fixed Point Results

In this manuscript, we introduce a new notion: a Berinde type ( α , ψ ) -contraction mapping. Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of such mappings in the setting of right-complete quasi-metric spaces. The result, presented here, not only generalizes a number of existing results, but also unifies several ones on the topic in the literature. An application of nonlinear fractional differential equations is given.

Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations

Academia de Ciencias Exactas, Físicas y Naturales

In this paper, we initiate the notion of generalized multivalued ( α K * , Υ , Λ ) -contractions and provide some new common fixed point results in the class of α K -complete partial b-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations.

https://www.mdpi.com/2073-8994/11/1/86/pdf

Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

In this paper, we initiate the notion of Ciric type rational graphic Υ , Λ -contraction pair mappings and provide some new related common fixed point results on partial b-metric spaces endowed with a directed graph G. We also give examples to illustrate our main results. Moreover, we present some applications on electric circuit equations and fractional differential equations.

/pdf/hybrid-ciric-type-graphic-u-l-contraction-mappings-with-30655kotgq.pdf

Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

The purpose of this paper is to generalize fixed point theorems introduced by Jleli et al. (J. Inequal. Appl. 2014:38, 2014) by using the concept of triangular α-orbital admissible mappings established in Popescu (Fixed Point Theory Appl. 2014:190, 2014). Some examples are given here to illustrate the usability of the obtained results.

/pdf/generalized-contractions-with-triangular-a-orbital-1vugwi9chj.pdf

Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces

Abstract In this study, we develop the concept of multivalued Suzuki-type θ-contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.

/pdf/on-multivalued-suzuki-type-th-contractions-and-related-l1px23wxej.pdf

On multivalued Suzuki-type θ-contractions and related applications

This paper aims at proving some unique fixed-point results for different contractive-type self-mappings in fuzzy metric spaces by using the “triangular property of the fuzzy metric”. Some illustrative examples are presented to support our results. Moreover, we present an application by resolving a particular case of a Fredholm integral equation of the second kind.

/pdf/unique-fixed-point-results-in-fuzzy-metric-spaces-with-an-yed9r5uowg.pdf

Eskandar Ameer

Papers

Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces

On multivalued Suzuki-type θ-contractions and related applications

Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations