Results 31 to 40 of about 2,320,372 (311)
Results in Nonlinear Analysis, 2021 In this paper, we construct a new hybrid iteration, called SR-iteration, and prove its stability and convergence analysis for weak contraction mappings in a Banach space.
Raweerote Suparatulatorn, Suthep Suantai
doaj +1 more source
Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation [PDF]
Sahand Communications in Mathematical Analysis, 2020 Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this
Azhar Hussain +3 more
doaj +1 more source
An Extension of Generalized -Weak Contractions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We prove a fixed-point theorem for a class of maps that satisfy generalized -weak contractions depending on a given function. An example is given to illustrate our extensions.
Tran Van An +3 more
openaire +2 more sources
Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems
Fixed Point Theory and Applications, 2009 We discuss the following viscosity approximations with the weak contraction A for a non-expansive mapping sequence {Tn}, yn=αnAyn+(1−αn)Tnyn, xn+1=αnAxn+(1−αn)Tnxn.
Yisheng Song, Xiao Liu
doaj +2 more sources
GENERALIZED WEAK CONTRACTION FOR HYBRID PAIR OF MAPPINGS WITH APPLICATION [PDF]
, 2023 We establish some common coupled fixed point theorems for hybrid pair of mappings under generalized weak contraction on a non complete metric space, which is not partially ordered.
Handa, Amrish
core +1 more source
Solution of fractional integral equations via fixed point results
Journal of Inequalities and Applications, 2022 In this paper, we introduce two new concepts of F-contraction, called dual F ∗ $F^{*}$ -weak contraction and triple F ∗ $F^{*}$ -weak contraction, which generalize the existing contractions in the sense of Wardowski, Jleli and Samet as well as Skof ...
Mi Zhou, Naeem Saleem, Shahid Bashir
doaj +1 more source
Weak and Semi-Contraction for Network Systems and Diffusively Coupled Oscillators
IEEE Transactions on Automatic Control, 2020 We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion of seminorm, we propose a geometric framework for semi-contraction theory.
Saber Jafarpour +2 more
semanticscholar +1 more source
Quasi-Similarity of Weak Contractions [PDF]
Proceedings of the American Mathematical Society, 1978 Let T be a completely nonunitary (c.n.u.) weak contraction (in the sense of Sz.-Nagy and Foiaş). We show that T is quasi-similar to the direct sum of its
openaire +1 more source
Some fixed point results in complete generalized metric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2018 The Banach contraction principle is the most important result. This principle has many applications and some authors was interested in this principle in various metric spaces as Brianciari.
S.M. Sangurlu, D. Turkoglu
doaj +1 more source
Multivalued weak cyclic δ-contraction mappings [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using theδ-distance function. Several novel fixed point results are deduced for such class of weak cyclic multivalued mappings in the framework of metric spaces.
Konar, Pulak +3 more
openaire +1 more source