Results 41 to 50 of about 1,166 (111)
Demonstratio Mathematica, 2023 In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main
Patle Pradip Ramesh +2 more
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Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 4, Page 251-257, 2002., 2002 It is shown that every asymptotically regular or λ‐firmly nonexpansive mapping T : C → C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach space X which is uniformly convex in every direction. Furthermore, if {T i}i∈I is any compatible family of strongly nonexpansive self‐mappings on such a C and the ...
Wei-Shih Du, Young-Ye Huang, Chi-Lin Yen
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On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
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Demonstratio Mathematica, 2022 In this article, motivated by the works of Ali Akbar and Elahe Shahrosvand [Split equality common null point problem for Bregman quasi-nonexpansive mappings, Filomat 32 (2018), no. 11, 3917–3932], Eskandani et al.
Abass Hammed A. +4 more
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On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications
Abstract and Applied Analysis, Volume 7, Issue 6, Page 295-322, 2002., 2002 We define a nonoriented coincidence index for a compact, fundamentally restrictible, and condensing multivalued perturbations of a map which is nonlinear Fredholm of nonnegative index on the set of coincidence points. As an application, we consider an optimal controllability problem for a system governed by a second‐order integro‐differential equation.
Valeri Obukhovskii +2 more
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Demonstratio Mathematica, 2020 In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of ...
Gabeleh Moosa, Künzi Hans-Peter A.
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A new result on Branciari metric space using (α, γ)-contractive mappings
Topological Algebra and its Applications, 2022 In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.
Patil Jayashree +4 more
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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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KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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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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