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181
Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces
Published 2022-01-01“…In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. …”
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182
An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps
Published 2022-01-01“…This application illustrates how complex-valued b-metric space can be used in other types of integral operators.…”
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183
New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces
Published 2021-01-01“…Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. …”
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184
On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
Published 2022-01-01“…We essentially suggest the concept of mutual sequences and Cauchy mutual sequence and utilize the same to prove the existence and uniqueness of common fixed point results for finite number of self- and non-self-mappings using fuzzy ℤ∗-contractive mappings in fuzzy metric spaces. Our main result was obtained under generalized contractive condition in the fuzzy metric spaces. …”
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185
Common fixed point theorems in complex valued non-negative extended b-metric space
Published 2021-12-01Subjects: “…complex valued metric space…”
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186
Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces
Published 2015-01-01“…We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.…”
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187
Common Fixed Point Theorems of Contractions in Partial Cone Metric Spaces over Nonnormal Cones
Published 2014-01-01“…We prove some common fixed point theorems of contractions restricted with variable positive linear bounded mappings in θ-complete partial cone metric spaces over nonnormal cones and present some examples to support the usability of our results.…”
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188
Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces
Published 2019-01-01“…In this paper, we present some common fixed point theorems for a pair of self-mappings in fuzzy cone metric spaces under the generalized fuzzy cone contraction conditions. …”
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189
Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications
Published 2021-01-01“…Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G-metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. …”
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190
Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces
Published 2021-01-01“…In this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b-metric space. The presented results generalize and expand some of the literature’s well-known results. …”
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191
Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces
Published 2020-01-01“…In this paper, we introduce and study some properties of a new class of generalized monotone nonexpansive mappings in hyperbolic metric spaces. Further, we give some results on the convergence of the Mann iterative process for this class of mappings in hyperbolic ordered metric spaces with some interesting examples.…”
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192
Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications
Published 2020-01-01“…We use the notions of left- and right-complete quasi-b-metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair of almost generalized contractive conditions. …”
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193
On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
Published 2021-01-01“…In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. …”
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194
Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces
Published 2020-01-01“…We study G,D-proximal Geraghty contractions in a JS-metric space X endowed with graph G. We obtain some best proximity theorems for such contractions. …”
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195
Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications
Published 2020-01-01“…The aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of U-contractions in modular-like metric spaces. Some new results in graph theory for multigraph-dominated contractions in modular-like metric spaces are developed. …”
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196
Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
Published 2012-01-01“…A new concept of the c-distance in cone metric space has been introduced recently in 2011. The aim of this paper is to extend and generalize some coupled fixed-point theorems on c-distance in cone metric space. …”
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197
Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
Published 2013-01-01“…We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via --contractive mapping of type-() in the framework of -metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).…”
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198
New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces
Published 2012-01-01“…A new concept of the c-distance in cone metric space has been introduced recently in 2011. The aim of this paper is to extend and generalize some fixed point results in literature for c-distance in cone metric spaces by replacing the constants in contractive conditions with functions. …”
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199
On Some w−Interpolative Contractions of Suzuki-Type Mappings in Quasi-Partial b-Metric Space
Published 2022-01-01“…We present some results for interpolative contraction operators via the w-admissible maps which satisfy the Kannan, Ćirić–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. Further, the outcomes so obtained are affirmed with relevant examples.…”
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200
Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces
Published 2022-01-01“…The goal of this paper is to extend the concept of complex-valued fuzzy metric space to complex-valued fuzzy b-metric spaces and to discuss various existence results for fixed points to ensure their existence and uniqueness. …”
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