FIXED POINT THEOREM FOR F-CONTRACTION MAPPINGS IN PARTIAL METRIC SPACES
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
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Three alternative proofs of the Banach contraction principle
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.
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A unified fixed point approach for enriched bivariate mappings with applications to volterra systems and fractional-order chaos. [PDF]
Ahmad K +5 more
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GENERALIZED BANACH CONTRACTION PRINCIPLE IN INCLOSED SET [PDF]
P.K. Das, S.K. Mohanta
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A proof of the Generalized Banach Contraction Conjecture
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
Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]
Boumaaza M +4 more
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Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems. [PDF]
Filali D +5 more
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Some fixed point results for rational contraction on perturbed metric space
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
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Fixed point approximation for generalized μ-Reich-Suzuki nonexpansive mappings with application. [PDF]
Ishtiaq T +3 more
europepmc +1 more source
Computational simulations and uniform stability of fractional order neural networks under perturbed system setup. [PDF]
Swamy KK, Panda SK, Albargi AH, Ahmad J.
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