• Korean Journal of Mathematics
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• v.27 no.4
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• pp.861-877
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• 2019

The aim of this paper is to extend some existing fixed point results for asymptotically regular mappings to fuzzy metric spaces. For this purpose some contractive type conditions with respect to an altering distance function are used. Some new common fixed point results have been derived for such mappings. We provide suitable examples to justify our study.

• Theoretical Mathematics and Pedagogical Mathematics
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• v.26 no.4
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• pp.215-231
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• 2019

In this paper, we establish some ĆIRIC type fixed point theorems in α-complete and orbitally T-complete non-Archimedean modular metric spaces. Meanwhile, we present an illustrative example to emphasis the realized improvements. These obtained results extend and improve certain well known results in the literature.

• Theoretical Mathematics and Pedagogical Mathematics
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• v.16 no.1
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• pp.69-83
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• 2009

New Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Frechet spaces are presented. Also we present new results for condensing maps with a compact attractor. The proof relies on fixed point theory in Banach spaces and viewing a Frechet space as the projective limit of a sequence of Banach spaces.

• Korean Journal of Mathematics
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• v.28 no.4
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• pp.915-929
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• 2020

We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain ∆-convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.

• Nonlinear Functional Analysis and Applications
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• v.28 no.2
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• pp.311-335
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• 2023

Fixed point theory is the center of focus for many mathematicians from last few decades. A lot of generalizations of the Banach contraction principle have been established. In this paper, we introduce the concepts of 𝜃-contraction and 𝜃-𝜑-contraction in quasi-metric spaces to study the existence of the fixed point for them.

• Nonlinear Functional Analysis and Applications
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• v.29 no.2
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• pp.487-499
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• 2024

The main motivation for this paper is to investigate the fixed point property for nonlinear contraction defined on b-Menger inner product spaces. First, we introduce a b-Menger inner product spaces, then the topological structure is discussed and the probabilistic Pythagorean theorem is given and established. Also we prove the existence and uniqueness of fixed point in these spaces. This result generalizes and improves many previously known results.

• Theoretical Mathematics and Pedagogical Mathematics
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• v.31 no.3
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• pp.283-298
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• 2024

In this paper, by using fixed point techniques, we establish some common fixed point theorems for mappings satisfying an α-ψ-ϕ-contractive condition in generalized tripled metric space. Finally, we give an example to illustrate our main outcome.

• Journal of the Korean Mathematical Society
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• v.25 no.1
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• pp.77-82
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• 1988

• Kyungpook Mathematical Journal
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• v.17 no.2
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• pp.157-159
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• 1977

• East Asian mathematical journal
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• v.15 no.2
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• pp.291-299
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• 1999