Split Common Null Point and Common Fixed Point Problems Between Banach Spaces and Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0922-x
Abstract: In this paper, we present a new algorithm for solving the split common null point and the common fixed point problems between Banach spaces and Hilbert spaces, to find a point which belongs to the… read more here.
Keywords: split common; null point; common fixed; point ... See more keywords
A common fixed point theorem of Jungck in rectangular b-metric spaces
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0750-2
Abstract: We give a proof for the common fixed point theorem of Jungck in rectangular b-metric spaces. As a corollary, we obtain well known common fixed point theorems in b-metric spaces. read more here.
Keywords: theorem jungck; point theorem; common fixed; metric spaces ... See more keywords
The first common fixed point theorem for commutative set-valued mappings
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0716-9
Abstract: We establish the first common fixed point theorem for commutative set-valued mappings. This may help to generalize common fixed point theorems in single-valued setting to those in set-valued. read more here.
Keywords: fixed point; set valued; point theorem; first common ... See more keywords
Approximating a common fixed point of a finite family of nonlinear mappings in modular function spaces
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0863-z
Abstract: In this study, it is our purpose to investigate an algorithm for approximating a common fixed point of a finite family of $$\rho $$ρ-quasi-nonexpansive mappings. In addition, we propose and analyze a scheme which estimates… read more here.
Keywords: finite family; common fixed; point finite; fixed point ... See more keywords
A hybrid method for solving variational inequalities over the common fixed point sets of infinite families of nonexpansive mappings in Banach spaces
Sign Up to like & getrecommendations! Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1647201
Abstract: ABSTRACT In this paper, we introduce a hybrid method, a combination of the steepest-descent method and the Krasnosel'skii-Mann one, for solving a variational inequality over the set of common fixed points of an infinite family… read more here.
Keywords: common fixed; solving variational; nonexpansive mappings; method ... See more keywords
A new self-adaptive method for the split equality common fixed-point problem of quasi-nonexpansive mappings
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2020.1830400
Abstract: ABSTRACT In this paper, we introduce a new iterative algorithm from primal-dual methods for solving the split equality common fixed-point problem of quasi-nonexpansive mappings in real Hilbert space. Our algorithm includes the simultaneous iterative algorithm… read more here.
Keywords: common fixed; split equality; equality common; point problem ... See more keywords
Metric-like space and Suzuki type common fixed point results with (W.C.C) condition
Sign Up to like & getrecommendations! Published in 2018 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557120500667
Abstract: The (W.C.C) condition was developed by K.P.R. Rao et al. in 2013 which established common fixed point results in partial metric spaces. By using Hausdorff metric-like space, we obtain Suzuki type common fixed point theorems… read more here.
Keywords: like space; common fixed; point results; point ... See more keywords
Some new common fixed point theorems for contractive selfmappings with applications
Sign Up to like & getrecommendations! Published in 2021 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557122500802
Abstract: In this paper, we first prove a new common fixed point in general topological spaces with a [Formula: see text]-distance. From this result, we establish two common fixed points for two new classes of contractive… read more here.
Keywords: fixed point; common fixed; point theorems; new common ... See more keywords
Common Fixed Point and Coupled Coincidence Point Theorems for Geraghty’s Type Contraction Mapping with Two Metrics Endowed with a Directed Graph
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematics"
DOI: 10.1155/2017/5746704
Abstract: The purpose of this paper is to present some existence and uniqueness results for common fixed point theorems for - contraction mappings with two metrics endowed with a directed graph. In addition, by using our… read more here.
Keywords: common fixed; directed graph; point; endowed directed ... See more keywords
A New Iterative Construction for Approximating Solutions of a Split Common Fixed Point Problem
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/6659079
Abstract: In this paper, we aim to construct a new strong convergence algorithm for a split common fixed point problem involving the demicontractive operators. It is proved that the vector sequence generated via the Halpern-like algorithm… read more here.
Keywords: common fixed; point problem; split common; fixed point ... See more keywords
An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/6661682
Abstract: In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two… read more here.
Keywords: split common; hilbert spaces; common fixed; inertial method ... See more keywords