The objective of this research article is to introduce Kikkawa and Suzuki-type contractions in the setting of topological vector space-valued cone metric space with a solid cone and establish some new fixed point results for multi-valued mappings.
Hala Alzumi, Jamshaid Ahmad
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Generalized fixed point theorems on metric spaces [PDF]
In this paper, we establish some fixed point theorems for single valued and multi-valued mappings on a complete metric space. Suzuki's and some other fixed point theorems are generalized by taking a more general contractive condition for single valued ...
Chandra Naveen +2 more
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Fixed Point of Multivalued Mizoguchi-Takahashi's Type Mappings and Answer to the Rouhani-Moradi's Open Problem [PDF]
The fixed point theorem of Nadler (1966) was extended by Mizoguchi and Takahashi in 1989 and then for multi-valued contraction mappings, the existence of fixed point was demonstrated by Daffer and Kaneko (1995).
Sirous Moradi, Zahra Fathi
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Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces
In this paper, we provide and study the concept of multi-valued generalized (α,β)-nonexpansive mappings, which is the multi-valued version of the recently developed generalized (α,β)-nonexpansive mappings.
Kifayat Ullah +2 more
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Some Common Fixed Point Results for Generalized $\alpha_*$-$\psi$-contractive Multi-valued Mappings on Ordered Metric Spaces with Application to Initial Value Problem [PDF]
In 2012, Samet, et al. introduced the notion of $\alpha$-$\psi$-contractive type mappings. They have been establish some fixed point theorems for the mappings on complete metricspaces.
Sajjad Pahlavany +2 more
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Some set-valued and multi-valued contraction results in fuzzy cone metric spaces
This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction ...
Saif Ur Rehman +4 more
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Fixed Point Theorem for Multivalued Non-self Mappings in Partial Symmetric Spaces
In this paper, we proved a fixed point theorem for multi-valued non-self mappings in partial symmetric spaces. In doing so, we extended and generalized the results in literature by employing a convex structure for multi-valued non-self mappings using ...
Wangwe Lucas, Kumar Santosh
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We introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$.
S. K. Mohanta, R. Kar
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Fixed points of multi-valued Suzuki nonexpansive mappings in hyperbolic spaces [PDF]
In this paper, we have proved fixed point results for multi-valued Suzuki nonexpansive mappings in complete hyperbolic spaces along with application.
Kiran Dewangan
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On fixed points for for alpha–eta–psi-contractive multi-valued mappings in partial metric spaces
Recently, Samet et al. introduced the notion of α–ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. Successively, Asl et al.
Vincenzo La Rosa, Pasquale Vetro
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