Results 21 to 30 of about 2,131 (145)
Cyclic weak ϕ iterated function system
Topological Algebra and its Applications, 2022 In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
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Iterative methods for solving fixed‐point problems with nonself‐mappings in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 4, Page 193-216, 2003., 2003 We study descent‐like approximation methods and proximal methods of the retraction type for solving fixed‐point problems with nonself‐mappings in Hilbert and Banach spaces. We prove strong and weak convergences for weakly contractive and nonexpansive maps, respectively.
Yakov Alber, Simeon Reich, Jen-Chih Yao
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Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces
Topological Algebra and its Applications, 2022 In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
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The fixed‐point property in Banach spaces containing a copy of c0
Abstract and Applied Analysis, Volume 2003, Issue 3, Page 183-192, 2003., 2003 We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed‐point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the weak topology. If the copy of c0 is asymptotically isometric, this result can be improved, because we can prove the failure of the ...
Maria A. Japón Pineda
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Demonstratio Mathematica, 2019 In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur +2 more
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Generalized common fixed point theorems in complex valued metric spaces and applications
, 2012 Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition.
W. Sintunavarat, Poom Kumam
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Fixed‐point theorems for multivalued non‐expansive mappings without uniform convexity
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 375-386, 2003., 2003 Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the nonstrict Opial condition. Let C be a bounded closed convex subset of X, KC(C) the family of all compact convex subsets of C, and T a nonexpansive mapping from C into KC(C). We prove that T has a fixed point.
T. Domínguez Benavides +1 more
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On a fixed point theorem with application to functional equations
Open Mathematics, 2019 The purpose of this paper is to study behavior of a rational type contraction introduced in [A fixed point theorem for contractions of rational type in partially ordered metric spaces, Ann. Univ.
Nazam Muhammad +3 more
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Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 83-91, 2003., 2003 It is shown that if X is a Banach space and C is a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets {Ci : 1 ≤ i ≤ n } of X, and each Ci has the fixed‐point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self‐mapping of C has a fixed point. We also generalize
Wiesława Kaczor
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Demonstratio Mathematica, 2021 In this paper, we study the problem of finding a common solution of split generalized vector mixed equlibrium problem (SGVMEP), fixed point problem (FPP) and variational inequality problem (VIP).
Mewomo Oluwatosin T., Oyewole Olawale K.
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