Results 111 to 120 of about 1,320,516 (202)

FIXED POINT THEOREM FOR F-CONTRACTION MAPPINGS IN PARTIAL METRIC SPACES

open access: yes, 2019
In this paper, we prove some fixed point theorems for F-contraction mappings in partial metric spaces. In particular, the main results generalizes a fixed point theorem due to Wardowski [8] in which F-contraction was introduced as a generalization of ...
Kumar, Santosh   +2 more
core  

Three alternative proofs of the Banach contraction principle

open access: yesAnnales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
This study presents three alternative proofs of the Banach contraction principle (BCP). These proofs are derived from proofs of theorems that generalized the BCP, established in the existing studies. By simplifying the proofs of the generalized theorems, the alternative proofs of the BCP are obtained.
openaire   +1 more source

GENERALIZED BANACH CONTRACTION PRINCIPLE IN INCLOSED SET [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2015
P.K. Das, S.K. Mohanta
openaire   +1 more source

A proof of the Generalized Banach Contraction Conjecture

open access: yes, 2003
We introduce the notion of J-continuity, which generalizes both continuity and the hypothesis in the Generalized Banach Contraction Conjecture, and prove that any J-continuous self-map on a scattered compact space, has an invariant finite set. We use the
Arvanitakis, A.D.
core  

Some fixed point results for rational contraction on perturbed metric space

open access: yes
This work is devoted to the study of fixed point theory for $F$-perturbed mappings in complete perturbed metric spaces. Specifically, we introduce the concept of rational type $F$-contraction and prove the existence and uniqueness of fixed points for ...
E. Erdoğan, M. Nazam, Ö. Acar
core   +1 more source

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