Results 21 to 30 of about 512 (131)
Fixed-point results for convex orbital operators
Demonstratio Mathematica, 2023 The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no.
Popescu Ovidiu
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Related fixed points for set‐valued mappings on two uniform spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 69, Page 3783-3791, 2004., 2004 Some related fixed point theorems for set‐valued mappings on two complete and compact uniform spaces are proved.
Duran Türkoğlu, Brian Fisher
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Fixed points via a generalized local commutativity: the compact case
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2027-2034, 2003., 2003 In an earlier paper, the concept of semigroups of self‐maps which are nearly commutative at a function g : X → X was introduced. We now continue the investigation, but with emphasis on the compact case. Fixed‐point theorems for such semigroups are obtained in the setting of semimetric and metric spaces.
Gerald F. Jungck
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On common fixed points, periodic points, and recurrent points of continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2465-2473, 2003., 2003 It is known that two commuting continuous functions on an interval need not have a common fixed point. However, it is not known if such two functions have a common periodic point. we had conjectured that two commuting continuous functions on an interval will typically have disjoint sets of periodic points.
Aliasghar Alikhani-Koopaei
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Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
Open Mathematics, 2017 The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 40, Page 2519-2539, 2003., 2003 The present paper studies some common fixed‐point theorems for pairs of a single‐valued and a multivalued coincidentally commuting mappings in D‐metric spaces satisfying a certain generalized contraction condition. Our result generalizes more than a dozen known fixed‐point theorems in D‐metric spaces including those of Dhage (2000) and Rhoades (1996).
B. C. Dhage +2 more
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Connectivity properties for subspaces of function spaces determined by fixed points
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 121-128, 2003., 2003 We study the topology of a subspace of the function space of continuous self‐mappings of a given manifold: the subspace determined by maps having the least number of fixed points in its homotopy class. In the case that the manifold is a closed disk of finite dimension, we prove that this subspace is both globally and locally path connected.
Daciberg L. Gonçalves, Michael R. Kelly
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The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications
Abstract and Applied AnalysisMSC2020 Classification: 47H10, 45D05 ...
M. Pandiselvi +2 more
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A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah +4 more
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On best proximity pair theorems and fixed‐point theorems
Abstract and Applied Analysis, Volume 2003, Issue 1, Page 33-47, 2003., 2003 The significance of fixed‐point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear. On the other hand, if the fixed‐point equation Tx = x does not possess a solution, it is contemplated to resolve a problem of finding an element x such that x is in ...
P. S. Srinivasan, P. Veeramani
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