Coupled Fixed Point Theorems for Some Type of Contraction Mappings in b-Cone and b-Theta Cone Metric Spaces by Sahar Mohamed Ali Abou Bakr

“…This paper proves the existence of a unique coupled fixed point of some type of contraction mappings defined on a complete b-cone and b-theta cone metric spaces; consequently, it extends and generalizes many previous coupled fixed point theorems.…”
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A general lemma for fixed-point theorems involving more than two maps in D-metric spaces with applications by B. C. Dhage, Smrati Arya, Jeong Sheok Ume

“…A general procedural lemma for fixed-point theorems for three and four maps in a D-metric space is proved, and it is further applied for proving the common fixed-point theorems of three and four maps in a D-metric space satisfying certain contractive conditions.…”
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On Nonunique Fixed Point Theorems via Interpolative Chatterjea Type Suzuki Contraction in Quasi-Partial b-Metric Space by Pragati Gautam, Shiv Raj Singh, Santosh Kumar, Swapnil Verma

“…In the present research paper, Chatterjea type contraction is defined and discussed in the framework of quasi-partial b-metric space. Further, some common fixed point results are proved using the notion of interpolation. …”
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Some Valid Generalizations of Boyd and Wong Inequality and ψ,ϕ-Weak Contraction in Partially Ordered b−Metric Spaces by Noor Jamal, Thabet Abdeljawad, Muhammad Sarwar, Nabil Mlaiki, Panda Sumati Kumari

“…In this manuscript, we use ψ,ϕ-weak contraction to generalize coincidence point results which are established in the context of partially ordered b-metric spaces. The presented work explicitly generalized some recent results from the existing literature. …”
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Fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space by S. Venkata Ratnam Naidu

“…We obtain fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space satisfying a generalized nonexpansive type condition.…”
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Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces by Feng Gu, Yun Yin

“…Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. …”
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Generalized Reich–Ćirić–Rus-Type and Kannan-Type Contractions in Cone b-Metric Spaces over Banach Algebras by Yan Han, Shaoyuan Xu

“…At last, we prove that the completeness of cone b-metric spaces over Banach algebras is necessary if the generalized Kannan-type contraction has a fixed point in X. …”
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Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces by Solomon Gebregiorgis Teweldemedhin, Kidane Koyas Tola

“…In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. …”
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Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces by Ömer Kişi

“…In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS). Also, we give the notions of Wijsman strongly ℐ2∗-lacunary convergence, Wijsman strongly ℐ2-lacunary Cauchy, and Wijsman strongly ℐ2∗-lacunary Cauchy set sequence in IFMS and establish noteworthy results.…”
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Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation by G. S. Saluja, Hemant Kumar Nashine, Reena Jain, Rabha W. Ibrahim, Hossam A. Nabwey

“…It has been shown that the findings of d-metric spaces may be deduced from S-metric spaces by considering dϖ,ϰ=Λϖ,ϖ,ϰ. …”
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A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications by Manish Jain, Kenan Taş

“…We establish the existence and uniqueness of coupled common fixed point for symmetric (φ,ψ)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. …”
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The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space by Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Amer Hassan Albargi, Eskandar Ameer

“…The main focus is on proving new fixed point (FP) results in M℘-metric space (M℘-MS). Additionally, several consequences are derived from our main findings. …”
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Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces by Wutiphol Sintunavarat

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Uniform Lipschitz-connectedness and metric convexity by Paranjothi Pillay, Dharmanand Baboolal

Subjects: “…metric space…”
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A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces by Kasamsuk Ungchittrakool

“…The purpose of this paper is to provide and study a best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces. The significant mapping in a unified form which related to contractive mappings, Kannan-type mappings, and Chatterjea-type mappings is established. …”
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Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application by Ziaul Islam, Muhammad Sarwar, Manuel de la Sen

“…In the current manuscript, the notion of a cone b2-metric space over Banach’s algebra with parameter b≻¯e is introduced. …”
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Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. by Maryam Iqbal, Afshan Batool, Aftab Hussain, Hamed Al Sulami

“…In the realm of b-metric spaces, this study introduces a novel generalized Wardowski-type quasi-contraction, denoted as β-(θ, ϑ). …”
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Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces by Chi-Ming Chen

“…We obtain some new fixed point theorems for a (𝜓,𝜙)-pair Meir-Keeler-type set-valued contraction map in metric spaces. Our main results generalize and improve the results of Klim and Wardowski, (2007).…”
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Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space by Rishi Dhariwal, Deepak Kumar

Subjects: “…c*-algebra valued metric space…”
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Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces by Erdal Karapinar, Shimaa I. Moustafa, Ayman Shehata, Ravi P. Agarwal

“…In this paper, we investigate the existence of a unique coupled fixed point for α−admissible mapping which is of Fψ1,ψ2−contraction in the context of M−metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. …”
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