Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular [PDF]
Fixed Point Theory and Applications, 2011 Because of Minty's classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, monotone operator theory, and ...
Heinz H. Bauschke +3 more
semanticscholar +1 more source
Remarks on some coupled coincidence point results in partially ordered metric spaces
Arab Journal of Mathematical Sciences, 2014 In this paper we have used a method of reducing coupled coincidence and coupled fixed point results in partially ordered metric spaces to the respective results for mappings with one variable, even obtaining (in some cases) more general theorems.
Stojan Radenović
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Common fixed points for generalized contractions in uniform spaces endowed with a graph
Mathematica, 2020 In this paper, we will define a new kind of generalized contractions to establish some common fixed point theorems for self-mappings on Hausdorff uniform spaces endowed with a graph.
B. Hosseini, A. Mirmostafaee
semanticscholar +1 more source
Related fixed points for set valued mappings on two metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 205-210, 2000., 2000 Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Brian Fisher, Duran Türkoglu
wiley +1 more source
Approximating fixed points of λ‐firmly nonexpansive mappings in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 441-448, 2000., 2000 We study the convergence of the Ishikawa iteration methods to fixed points for the result of Smarzewski (1991). Our theorems also improve recent theorems due to Sharma and Sahu (1996).
Gang-Eun Kim
wiley +1 more source
Some results on maximal elements
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000 We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
wiley +1 more source
Fixed point results for multivalued mappings of Ćirić type via F-contractions on quasi metric spaces
Open Mathematics, 2020 In this paper, we present some fixed point results for multivalued mappings with both closed values and proximinal values on left K-complete quasi metric spaces. We also provide a nontrivial example to illustrate our results.
Shatanawi Wasfi, Altun Ishak, Dağ Hacer
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Coincidence and Common Fixed Point Theorems via ϱ-Class Functions in Elliptic Valued Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 The main goal of this study is to define a new metric space which is a generalization of complex valued metric spaces introduced by Azam et al.
Öztürk Mahpeyker +2 more
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Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source
Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman +1 more
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