On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application  

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作  者:Kastriot Zoto Ilir Vardhami Dusan Bajovic Zoran D.Mitrovic Stojan Radenovic 

机构地区:[1]Department of Mathematics and Computer Sciences,Faculty of Natural Sciences,University of Gjirokastra,Gjirokastra,6001,Albania [2]Department of Mathematics,Faculty of Natural Sciences,University of Tirana,Tirana,1001,Albania [3]Faculty of Electrical Engineering,University of Banja Luka,Banja Luka,78000,Bosnia and Herzegovina [4]Department of Mathematics,Faculty of Mechanical Engineering,University of Belgrade,Beograd,11120,Serbia

出  处:《Computer Modeling in Engineering & Sciences》2023年第4期673-686,共14页工程与科学中的计算机建模(英文)

摘  要:The focusofourwork is on themost recent results infixedpoint theoryrelated tocontractivemappings.Wedescribe variants of(s,q,φ,F)-contractions that expand,supplement and unify an important work widely discussed in the literature,based on existing classes of interpolative and F-contractions.In particular,a large class of contractions in terms of s,q,φand F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces.The main result in our paper is that(s,q,φ,F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous.As an application of our results,we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations.

关 键 词: F)-contraction (s q φ F)-contraction b-metric-like space fixed point 

分 类 号:O177[理学—数学]

 

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