An algorithm for equilibrium problems with mixed-type fixed point constraints. [PDF]
PLoS ONEIn this paper, we introduce a novel class of nonlinear mappings known as ϑ-strictly asymptotically pseudocontractive-type multivalued mapping (ϑ-SAPM) in a Hilbert space domain.
Lifang Guo +3 more
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Fixed points of multivalued convex contractions with application. [PDF]
PLoS ONEIn this work, we establish fixed point outcomes for single- valued convex contraction type mappings in the context of a b-metric space. Some of the new results are extended for a multivalued convex contraction and an F-convex contraction.
Abdul Rahim Khan +3 more
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Carathéodory selections for multivalued mappings
Nonlinear Analysis: Theory, Methods & Applications, 2005 Let \((\Omega ,{\mathcal F})\) be a measurable space, \(T\) a locally compact separable metric space, and \(E\) a real separable Banach space. The following theorem is the main result of this paper: Let \(X:\Omega \times T\to 2^E\) be a Carathéodory set-valued mapping, i.e., measurable in \(\omega\) and continuous in \(t\).
Raúl Fierro +2 more
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Fixed Point Results for Multivalued Mapping in $\mathrm{R}$-Metric Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 This paper explores certain fixed point results for multivalued mapping in a metric space endowed with an arbitrary binary relation $\mathrm{R}$, briefly written as $\mathrm{R}$-metric space.
Astha Malhotra, Deepak Kumar
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Some best proximity point results for multivalued mappings on partial metric spaces [PDF]
Mathematica Moravica, 2021 In this paper, we introduce two new concepts of Feng-Liu type multivalued contraction mapping and cyclic Feng-Liu type multivalued contraction mapping.
Aslantas Mustafa +1 more
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New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2023 ln this paper, we introduce a new class of mapping called asymptotically demicontractive multivalued mapping in the setting of a real Hilbert space.
Imo Agwu, Donatus Igbokwe
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On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $alpha $-admissible [PDF]
Sahand Communications in Mathematical Analysis, 2020 The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings ...
Vatan Karakaya +2 more
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Fixed point theorems for rational type $F$-contraction
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we consider rational type $F$-contraction for multivalued integral type mapping on a complete metric space. Using Wardowski’s technique, we establish the existence of a fixed point of the multivalued integral type mapping, if this mapping ...
Ö. Acar
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Diametrically Contractive Multivalued Mappings [PDF]
Fixed Point Theory and Applications, 2007 AbstractDiametrically contractive mappings on a complete metric space are introduced by V. I. Istratescu. We extend and generalize this idea to multivalued mappings. An easy example shows that our fixed point theorem is more applicable than a former one obtained by H. K. Xu.
S. Dhompongsa, H. Yingtaweesittikul
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Some generalizations for mixed multivalued mappings
Applied General Topology, 2022 In this paper, we introduce a new concept of KW-type ω-contraction mixed multivalued mapping. After that, we obtain some fixed point results for both multivalued and single valued mappings Finally, we provide a noteworth example to show the effectiveness
Mustafa Aslantaş +2 more
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