Common fixed point theorems for several multivalued mappings on proximinal sets in regular modular space

Faried, Nashat; El-Ghaffar, H. Abd; Hamdy, Salwa

doi:10.1186/s13660-021-02659-y

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2023

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“…Definition 1 { [16], [1], [13] }. A function ω : (0, ∞) × X × X → [0, ∞] is said to be modular metric on X if it satisfies the following conditions: (a) ω τ (x, y) = 0 if and only if x = y, for x, y ∈ X and ∀ τ > 0;…”

Section: Introductionmentioning

confidence: 99%

Fixed Point Theorems for Integral-type Weak-Contraction Mappings in Modular Metric Spaces

Paul,

Sarkar,

Tiwary

2023

General Mathematics

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In 2013, Azadifar et al. [3] established fixed point result in integral type contraction in modular metric space and 2020, Chaira et al.[11] established some extensions of Fixed Point Theorems for Weak-Contraction Mapping in Partially Ordered Modular Metric Spaces. In this paper we have established some common fixed point results in integral type contractions in modular and convex modular metric spaces.

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Section: Introductionmentioning

confidence: 99%