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-Circle Problem on S-Metric Spaces with a Geometric Viewpoint [PDF]
, 2018 Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces.
Taş, Nihal, Özgür, Nihal Yilmaz
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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
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The fixed point property in direct sums and modulus R(a,X) [PDF]
, 2012 We show that the direct sum of Banach spaces $X_{1},..., X_{r}$ with a strictly monotone norm has the weak fixed point property for nonexpansive mappings whenever $M(X_{i})>1$ for each $i=1,...,r$. In particular, $(X_{1} \oplus ...
Wiśnicki, Andrzej
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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
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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
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Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 49-53, 2000., 2000 We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupnsn < 1.
Deng Lei, Li Shenghong
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Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd +2 more
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