Multivalued weak cyclic δ-contraction mappings
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02519-1
Abstract: In this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using the δ -distance function. Several novel fixed point results are deduced for such class of… read more here.
Keywords: cyclic contraction; weak cyclic; contraction mappings; contraction ... See more keywords
PROXIMITY POINTS FOR CYCLIC 2-CONVEX CONTRACTION MAPPINGS
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear functional analysis and applications"
DOI: 10.22771/nfaa.2020.25.01.01
Abstract: In this paper, the existence of proximity point for cyclic 2-convex contraction mappings, weakly cyclic 2-convex contraction mappings and M -weakly cyclic 2-convex contraction mappings are proved in the metric space setting. Our result is… read more here.
Keywords: cyclic convex; proximity points; contraction mappings; convex contraction ... See more keywords
SOME FIXED POINT RESULTS FOR A NEW THREE STEPS ITERATION PROCESS IN BANACH SPACES
Sign Up to like & getrecommendations! Published in 2017 at "Fixed Point Theory"
DOI: 10.24193/fpt-ro.2017.2.50
Abstract: In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent… read more here.
Keywords: iteration; fixed point; iterative scheme; contraction mappings ... See more keywords
On quasi-contraction mappings of Ćirić and Fisher type via ω-distance
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2018.1436614
Abstract: Abstract Kada, Suzuki, and Takahashi introduced and studies the concept of ω- distance in fixed point theory. In this paper, we generalize and unify Ćirić’ and Fisher fixed points results for quasi-contractions on metric space… read more here.
Keywords: iri fisher; distance; mappings iri; contraction mappings ... See more keywords
Some Extended Results for Multivalued F-Contraction Mappings
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DOI: 10.3390/axioms12020116
Abstract: In this study, we introduce a new notion, so-called KW-type F-contraction mapping, inspired by the ideas of Wardowski and Klim–Wardowski. Then, we investigate the existence of a best proximity point for such mappings by considering… read more here.
Keywords: extended results; multivalued contraction; contraction mappings; results multivalued ... See more keywords
Control Functions in G-Metric Spaces: Novel Methods for θ-Fixed Points and θ-Fixed Circles with an Application
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DOI: 10.3390/sym15010164
Abstract: The purpose of this paper is to present some new contraction mappings via control functions. In addition, some fixed point results for Θ,α,θ,Ψ contraction, rational Θ,α,θ,Ψ contraction and almost Θ,α,θ,Ψ contraction mappings are obtained. Moreover,… read more here.
Keywords: application; control functions; contraction mappings; control ... See more keywords