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Several Fixed Point Theorems in Convex b-Metric Spaces and Applications [PDF]
Mathematics, 2020 Our paper is devoted to indicating a way of generalizing Mann’s iteration algorithm and a series of fixed point results in the framework of b-metric spaces.
Lili Chen +3 more
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Convex Fuzzy Soft Metric Space
Shanlax International Journal of Arts, Science and Humanities, 2020 In this paper, we investigate the concept of fuzzy soft metric space in terms of fuzzy soft points. The convex structure of fuzzy soft metric spaces is defined and we introduce the convex fuzzy soft metric space. Also we established the fixed point theorem of convex fuzzy soft metric space.
M. Vasuky, A. Uma
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A New Best Approximation Result in (S) Convex Metric Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2020 Consider a self-mapping T defined on the union of p subsets of a metric space, and T is said to be p cyclic if TAi⊆Ai+1 for i=1,…,p with Ap+1=A1. In this article, we introduce the notion of S convex structure, and we acquire a best proximity point for p ...
M. Sabiri +3 more
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About convex structures on metric spaces
Carpathian Journal of Mathematics, 2022 "In the present paper we study the relationships between different concepts of convex structures in metric spaces that that are related to the works of K. Menger [Menger, K. Untersuchungen \""{u}ber allgemeine Metrik. {\it Math. Ann.} {\bf100} (1928), 75--163], H. Busemann [Busemann, H. {\it The geometry of geodesics}, Academic Press, 1955], I. N.
Mitrofan M. Choban, MITROFAN M. CHOBAN
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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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Approximating common fixed points of non-expansive type multi-valued mappings in convex metric space
AIMS MathematicsWe propose a one-step iterative scheme to approximate common fixed points of multi-valued non-expansive mappings in a convex metric space $ \varUpsilon $, under certain mild boundary conditions.
Tanveer Hussain +3 more
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Convex contractions on extended b-metric spaces
AIMS MathematicsThis research investigated different types of convex contractions in the setting of extended $ b $-metric spaces from the point of view of the existence and uniqueness of their fixed points. The assumptions imposed on involved mappings refer to convexity
Dan Ricinschi
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Fixed Point Theory in b-convex Metric Spaces
Journal of Harbin University of Science and Technology, 2021 b-metric spaces are a kind of generalized metric spaces，which have attracted extensive attention of scholars at home and abroad in recent years. In this paper，the convex structure is firstly introduced in b-metric spaces，and consequently the notion of ...
LI Chao-bo, CHEN Li-li
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Ordered Convex Metric Spaces [PDF]
Journal of Function Spaces, 2021 The aim of this article is to introduce a new notion of ordered convex metric spaces and study some basic properties of these spaces. Several characterizations of these spaces are proven that allow making geometric interpretations of the new concepts.
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