A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Yang, Z.F., Talman, A.J.J.
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Fixed point free mappings which satisfy a Darbo type condition
, 2006 We give constructions of continuous mappings on normed spaces which satisfy a Darbo type condition with respect to a measure of noncompactness and do not have fixed points or even have positive minimal displacement.
MALUTA, ELISABETTA, S. Prus, J. Wosko
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(SI10-003) Some New Fixed Point Theorem via Shifting Distance Functions [PDF]
, 2022 In this paper, we present a new fixed point theorem involving non-compactness measures and shifting distance functions. This paper provides a generalization of the famous fixed point theorem of Banach.
Deuri, Bhuban Chandra
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Rakotch type extension of Darbo's fixed point theorem and an application
Summary: In this paper, we present a new extension of Darbo's fixed point theorem inspired by Rakotch's contraction. We also provide the alternative version of Leray-Schauder type of our new result. In order to demonstrate the applicability of our theoretical result, we present an existence theorem based on a functional equation. Finally, we provide an
Gençtürk, İlker +2 more
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Fixed point theorems for set-valued contraction type maps in metric spaces
, 2010 We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in
Amini-Harandi, A, O'Regan, D
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Fixed points for mappings of cyclical type in ordered metric spaces
, 2013 The purpose of this paper is to present some fixed point results for mappings of cyclical type in the context of ordered metric spaces. Our results extend the ones appearing in [A. Amini-Harandi, H.
Sadarangani, K. +2 more
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A Schauder fixed point theorem in semilinear spaces and applications
, 2013 In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.peer ...
Vasile Lupulescu +7 more
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A theorem of Caristi-Kirk type for b-metric spaces
[EN] The renowned Caristi-Kirk theorem states that a metric space is complete if and only if every Caristi mapping on it has a fixed point. In this note we extend this result to the setting of b -metric spaces.Romaguera Bonilla, Salvador (2024).
Romaguera Bonilla, Salvador
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Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness
, 2013 We present several fixed point theorems for multimaps in Banach spaces, which in turn are multivalued versions of the Mönch, Daher, Darbo and Sadovskii theorems.
CARDINALI, Tiziana, RUBBIONI, Paola
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[Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations. [PDF]
J Inequal Appl, 2017 Nikbakhtsarvestani F +2 more
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