Fixed Points of L-Fuzzy Mappings in Ordered b-Metric Spaces by Ismat Beg, Mohamed A. Ahmed, Hatem A. Nafadi

“…We prove common fixed point theorems for weakly commuting and occasionally coincidentally idempotent L-fuzzy mappings in ordered b-metric spaces. We also obtain common fixed point for pair of mapping satisfying (JCLR) property. …”
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Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces by Sharifa Al-Sharif, Mohammad Al-Khaleel, Mona Khandaqji

“…We establish some results on the existence and uniqueness of coupled fixed point involving nonlinear contractive conditions in complete-ordered partial metric spaces.…”
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Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space by Mohamed Altanji, Annamalai Santhi, Vediyappan Govindan, Shyam Sundar Santra, Samad Noeiaghdam

“…As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. …”
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Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces by Saurabh Manro, Sanjay Kumar, S. S. Bhatia, Kenan Tas

“…In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. …”
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Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces by Kifayat Ullah, Junaid Ahmad, Muhammad Arshad, Manuel de la Sen, Muhammad Safi Ullah Khan

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Some New Fixed Point Theorems in Partial Metric Spaces with Applications by Rajendra Pant, Rahul Shukla, H. K. Nashine, R. Panicker

“…Most of these theorems can be obtained from the corresponding results in metric spaces. The purpose of this paper is to present certain fixed point results for single and multivalued mappings in partial metric spaces which cannot be obtained from the corresponding results in metric spaces. …”
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One-Local Retract and Common Fixed Point in Modular Metric Spaces by Afrah A. N. Abdou

“…In this paper we introduced and study the concept of one-local retract in modular metric space. In particular, we investigate the existence of common fixed points of modular nonexpansive mappings defined on nonempty -closed -bounded subset of modular metric space.…”
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Some Fixed Point Theorems in Ordered G-Metric Spaces and Applications by W. Shatanawi

“…We study a number of fixed point results for the two weakly increasing mappings f and g with respect to partial ordering relation ⪯ in generalized metric spaces. An application to integral equation is given.…”
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Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space by Mohammad Rashid

“…In this article, we delve into the concept of convexity within fuzzy metric spaces and delve into their structural characteristics. …”
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Some Modified Fixed Point Results in V-Fuzzy Metric Spaces by Vishal Gupta, Manu Verma, Mohammad Saeed Khan

“…The present research paper focuses on the existence of fixed point in V-fuzzy metric space. The presentation of V-fuzzy metric space in n-tuple encourages us to define different mapping in the symmetric V-fuzzy metric space. …”
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Presic Type Fixed Point Theorem for Four Maps in Metric Spaces by K. P. R. Rao, Sk. Sadik, S. Manro

“…We obtained a Presic type fixed point theorem for two pairs of jointly 2k-weakly compatible maps in metric spaces. We also have given an example to illustrate our main theorem.…”
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The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence by Mao-Sheng Chang, Bo-Cheng Lu

“…We first establish the explicit structure of nonlinear gradient flow systems on metric spaces and then develop Gamma-convergence of the systems of nonlinear gradient flows, which is a scheme meant to ensure that if a family of energy functionals of several variables depending on a parameter Gamma-converges, then the solutions to the associated systems of gradient flows converge as well. …”
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Fixed Points and Endpoints of Set-Valued Contractions in Cone Metric Spaces by Ing-Jer Lin, Chi-Ming Chen, Mirko Jovanović, Tzi-Huei Wu

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A Generalization of a Greguš Fixed Point Theorem in Metric Spaces by Marwan A. Kutbi, A. Amini-Harandi, N. Hussain

“…We first introduce a new class of contractive mappings in the setting of metric spaces and then we present certain Greguš type fixed point theorems for such mappings. …”
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Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations by Nabil Mlaiki, Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei

“…We also present some endpoint results in both graphic F-metric spaces and ordered F-metric spaces. As an application of our main result, we investigate the solution of an integral equation.…”
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Fixed Points Theorems of Multi-Valued Mappings in F-Metric spaces by Mohamed Bouabdelli, Mahmoud Bousselsal

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A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE by A. Das, D. Barman, T. Bag

“…In this article, a concept of fuzzy F -metric space, which is a generalization of George & Veeramani-type fuzzy metric space, is introduced. …”
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Completeness of b∼Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions by Basit Ali, Mujahid Abbas, Manuel de la Sen

“…In this article, we present a completeness characterization of b∼metric space via existence of fixed points of generalized multivalued quasicontractions. …”
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On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces by N. Priyobarta, Bulbul Khomdram, Yumnam Rohen, Naeem Saleem

“…Furthermore, we extend the concept of α−admissible to generalize rational α−Geraghty contraction in G−metric space. With this new contraction mapping, we establish some fixed-point theorems in G−metric space. …”
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Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces by Shahid Mehmood, Saif Ur Rehman, Ihsan Ullah, Rashad A. R. Bantan, Mohammed Elgarhy

“…In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. …”
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