Results 1 to 10 of about 386 (57)
Approximating fixed points of nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 173-177, 2000., 2000 We consider a mapping S of the form , where αi ≥ 0, α0 > 0, α1 > 0 and . We show that the Picard iterates of S converge to a common fixed point of Ti(i = 1,2,…,k)in a Banach space when Ti(i = 1,2,…,k) are nonexpansive.
Guimei Liu, Deng Lei, Shenghong Li
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Fixed points and selections of set‐valued maps on spaces with convexity
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 595-612, 2000., 2000 We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non‐locally convex topological vector spaces or generalized convexity structures due to Michael,
Peter Saveliev
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Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu +4 more
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Common stationary points of multivalued mappings on bounded metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 773-779, 2000., 2000 Necessary and sufficient conditions for the existence of common stationary points of two multivalued mappings and common stationary point theorems for multivalued mappings on bounded metric spaces are given. Our results extend the theorems due to Fisher in 1979, 1980, and 1983 and Ohta and Nikaido in 1994.
Zeqing Liu, Shin Min Kang
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Some Fixed Point Theorems for Kannan Mappings [PDF]
, 2010 2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete ...
Narang, T. D., Tejpal, Shavetambry
core
An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications
Journal of Mathematics, Volume 2025, Issue 1, 2025.It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad +5 more
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On coincidence and common fixed points of nearly densifying mappings
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 627-641, 2000., 2000 Coincidence and common fixed point theorems for certain new classes of nearly densifying mappings are established. Our results extend, improve, and unify a lot of previously known theorems.
Zeqing Liu, Jeong Sheok Ume
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study explores fixed points and common fixed points for self‐mappings on ultrametric spaces, regardless of the assumption of spherical completeness. By presenting generalized contractive conditions based on the p‐adic contraction, we extend classical fixed point results and illustrate their practical use through meticulously crafted examples.
N. Uthirasamy +5 more
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Fixed point theorems for semi‐groups of self maps of semi‐metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 125-132, 1998., 1997 We use selected semi‐groups of self maps of a semi‐metric space to obtain fixed point theorems for single maps and for families of maps theorems which generalize results by Browder, Jachymski, Rhoades and Waiters, and others. A basic tool in our approach is the concept of commuting maps.
G. Jungck
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Equivariant Nielsen invariants for discrete groups
, 2006 For discrete groups G, we introduce equivariant Nielsen invariants. They are equivariant analogs of the Nielsen number and give lower bounds for the number of fixed point orbits in the G-homotopy class of an equivariant endomorphism f:X->X.
Weber, Julia
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