On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions by Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli

“…This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. Theorems on the existence and uniqueness of intuitionistic fuzzy solutions for these problems with integral boundary conditions are established under some sufficient assumptions. …”
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Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming by Deepmala

“…The paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. Our main results extend, improve, and generalize the results due to several authors. …”
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Inscribing closed non-σ-lower porous sets into Suslin non-σ-lower porous sets by Luděk Zajíček, Miroslav Zelený

“…The main aim of this paper is to prove that every non-σ-lower porous Suslin set in a topologically complete metric space contains a closed non-σ-lower porous subset. …”
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About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings by Manuel De la Sen

“…This paper investigates some fixed point-related questions including the sequence boundedness and convergence properties of mappings QtSx,Ty=tSx⊕1-tTy defined in CAT0 spaces, which are parameterized by a scalar t∈0,1, where S,T:  X→X are nonexpansive Lipschitz-continuous mappings and X,d is a metric space which is a CAT0 space.…”
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On combinational contractions with applications by Mohammed Shehu Shagari, Manzuma Mustapha, Hala H. Taha, Sarah Aljohani, Nabil Mlaiki

“…The aim of this paper is to provide a new hybrid contraction that is a combination of Jaggi, Meir-Keeler and Zamfirescu-type contractions in the framework of a complete metric space. The existence and uniqueness conditions of a fixed point of such contractions are investigated. …”
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Soft Fixed Point Theorems for the Soft Comparable Contractions by Chi-Ming Chen, Zhi-Hao Xu, Erdal Karapinar

“…In this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. …”
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Best Proximity Point Results for MK-Proximal Contractions by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…Let A and B be nonempty subsets of a metric space with the distance function d, and T:A→B is a given non-self-mapping. …”
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A fixed point theorem for non-self set-valued mappings by B. E. Rhoades

“…Let X be a complete, metrically convex metric space, K a closed convex subset of X, CB(X) the set of closed and bounded subsets of X. …”
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Common fixed point theorems for commuting k-uniformly Lipschitzian mappings by M. Elamrani, A. B. Mbarki, B. Mehdaoui

“…We give a common fixed point existence theorem for any sequence of commuting k-uniformly Lipschitzian mappings (eventually, for k=1 for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space (X,d) with uniform normal structure. After that we deduce, by using the Kulesza and Lim (1996), that this result can be generalized to any family of commuting k-uniformly Lipschitzian mappings.…”
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Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions by Mohammad Arif, Idrees A. Khan, Mohammad Imdad, Aftab Alam

“…In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. …”
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Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps by Savita Rathee, Anil Kumar, Kenan Tas

“…A common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. …”
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Some Fixed Point Results for Perov-Ćirić-Prešić Type F-Contractions with Application by Abdolsattar Gholidahneh, Shaban Sedghi, Vahid Parvaneh

“…Ćirić and Prešić developed the concept of Prešić contraction to Ćirić-Prešić type contractive mappings in the background of a metric space. On the other hand, Altun and Olgun introduced Perov type F-contractions. …”
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On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications by Józef Banaś, Rafał Nalepa

“…We are going to study the space of real functions defined on a bounded metric space and having growths tempered by a modulus of continuity. …”
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New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay by Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli

“…In this research work, we investigate novel findings concerning the existence and uniqueness of intuitionistic fuzzy solutions for state-dependent delay intuitionistic fuzzy partial functional differential equations with local initial conditions in a new weighted intuitionistic fuzzy complete metric space under suitable assumptions. The main results of this paper are based on the Banach fixed point theorem. …”
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On metrization of the space Dα[0, ∞) by Rimas Banys

“…This metric converts Dα[0, ∞) into a complete separable metric space. It is a modification of a metric on Dα[0, 1) introduced by Woodroofe, and is stronger than the well-known metrics on Dα[0, ∞). …”
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Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings by Azza Alghamdi, Maciej Klimek, Marta Kosek

“…We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables. …”
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Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications by Mujahid Abbas, Hira Iqbal, Adrian Petrusel

“…In this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. …”
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Note on limits of simply continuous and cliquish functions by Janina Ewert

“…The main result of this paper is that any function f defined on a perfect Baire space (X,T) with values in a separable metric space Y is cliquish (has the Baire property) iff it is a uniform (pointwise) limit of sequence {fn:n≥1} of simply continuous functions. …”
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Li-Yorke Sensitivity of Set-Valued Discrete Systems by Heng Liu, Fengchun Lei, Lidong Wang

“…Consider the surjective, continuous map f:X→X and the continuous map f¯ of 𝒦(X) induced by f, where X is a compact metric space and 𝒦(X) is the space of all nonempty compact subsets of X endowed with the Hausdorff metric. …”
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Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets by Ramazan İnal, Ayşegül Keten Çopur

“…The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space.…”
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