Results 21 to 30 of about 14,205 (282)

Results on Discontinuity at Fixed Point for a New Class of $F$-Contractive Mappings [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
The search for contractive definitions which do not compel the mapping to be continuous at fixed points remained an open problem for a long time. Several solutions to this open problem have been obtained in last two decades. The current paper,  we aim to
Pradip Debnath
doaj   +1 more source

Data dependence results of a new multistep and S-iterative schemes for contractive-like operators [PDF]

open access: yes, 2012
In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators.
Gursoy, Faik   +2 more
core   +1 more source

Coupled fixed point sets with data-dependence and stability [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
In this paper we establish a coupled fixed point theorem of a coupled multivalued mapping defined on a complete metric space. In our result we use a new contractive inequality. There are rational terms in the expression of the inequality. The contractive
Binayak S. Choudhury   +2 more
doaj  

Contractive maps in locally transitive relational metric spaces [PDF]

open access: yes, 2013
Some fixed point results are given for a class of Meir-Keeler contractive maps acting on metric spaces endowed with locally transitive relations. Technical connections with the related statements due to Berzig et al [Abstr. Appl.
Turinici, Mihai
core   +3 more sources

Fixed points of dynamic processes of set-valued F-contractions and application to functional equations [PDF]

open access: yes, 2015
The article is a continuation of the investigations concerning F-contractions which have been recently introduced in [Wardowski in Fixed Point Theory Appl. 2012:94,2012]. The authors extend the concept of F-contractive mappings to the case of nonlinear F-
D Paesano   +10 more
core   +2 more sources

A new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, a generalization of Nadler's fixed point theorem is presented for $H^+$-type $k$-multi-valued weak contractive mappings. We consider a nonconvex Hammerstein type integral inclusion and prove an existence theorem by using an $H^+$-type ...
H. Pathak, N. Shahzad
doaj   +1 more source

Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space

open access: yesAbstract and Applied Analysis, 2022
In this paper, common best proximity point theorems for weakly contractive mapping in b-metric spaces in the cases of nonself-mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b-metric spaces and proved ...
Yohannes Gebru, Yitages Negede
doaj   +1 more source

First steps in synthetic guarded domain theory: step-indexing in the topos of trees [PDF]

open access: yes, 2006
We present the topos S of trees as a model of guarded recursion. We study the internal dependently-typed higher-order logic of S and show that S models two modal operators, on predicates and types, which serve as guards in recursive definitions of terms,
Jan Schwinghammer   +4 more
core   +7 more sources

Locally Contractive and Expansive Mapping [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
Locally contractive and locally expansive mappings are studied in this paper. A remetrization theorem and some fixed point theorems are proved.
Hu, Thakyin, Rosen, Harvey
openaire   +2 more sources

A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings

open access: yesJournal of Function Spaces and Applications, 2013
Based on the work of Agarwal et al., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions.
Jin Liang, Sheng-Hua Yan
doaj   +1 more source

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