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Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results

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0 Published in 2020 at "Journal of Mathematics"

DOI: 10.1155/2020/3734126

Abstract: The aim of this work is to introduce double controlled dislocated quasi-metric type spaces and to obtain fixed point results for a pair of multivalued mappings satisfying Kannan-type double controlled contraction in such spaces. An… read more here.

Keywords: type spaces; metric type; double controlled; quasi metric ... See more keywords

New Results in Controlled Metric Type Spaces

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1 Published in 2021 at "Journal of Mathematics"

DOI: 10.1155/2021/5575512

Abstract: In this paper, a new class of functions denoted by is introduced which we use to prove new interesting fixed point results in controlled metric type spaces. Also, we present examples to illustrate our work. read more here.

Keywords: type spaces; metric type; new results; controlled metric ... See more keywords

New Fixed Point Theorem on Triple Controlled Metric Type Spaces with Applications to Volterra-Fredholm Integro-Dynamic Equations

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0 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11010019

Abstract: The objective of the research article is two-fold. Firstly, we present a fixed point result in the context of triple controlled metric type spaces with a distinctive contractive condition involving the controlled functions. Secondly, we… read more here.

Keywords: triple controlled; fixed point; type spaces; controlled metric ... See more keywords

New Contractive Mappings and Solutions to Boundary-Value Problems in Triple-Controlled, Metric-Type Spaces

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14112270

Abstract: In this study, we utilize a notion of triple-controlled, metric-type spaces that preserves the symmetry property, which is a generalization of b-metric-type spaces, to prove new fixed-point results. We introduce (α-F)-contractive mappings and Θ-contractive mappings… read more here.

Keywords: triple controlled; type spaces; controlled metric; metric type ... See more keywords

New Generalization of Metric-Type Spaces - Strong Controlled

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1 Published in 2023 at "Symmetry"

DOI: 10.3390/sym15020416

Abstract: In this manuscript, we establish a new type of metric space that is called controlled strong metric spaces by introducing a controlled function to the triangle inequality as follows: ℘(s,r)≤℘(s,z)+η(z,r)℘(z,r), and keeping the symmetry condition… read more here.

Keywords: type; type spaces; new generalization; metric type ... See more keywords