Results 1 to 10 of about 2,320,372 (311)
Abstract and Applied Analysis, 2021 This paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-weak nonexpansive mappings and then proves the existence of a unique common fixed point of such mappings in case of complete and ...
Sahar Mohamed Ali Abou Bakr
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g-Weak Contraction in Ordered Cone Rectangular Metric Spaces [PDF]
The Scientific World Journal, 2013 We prove some common fixed-point theorems for the ordered g-weak contractions in cone rectangular metric spaces without assuming the normality of cone.
S. K. Malhotra +2 more
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Fixed Point of Generalized Weak Contraction in b-Metric Spaces
Journal of Function Spaces, 2021 In this manuscript, a class of generalized ψ,α,β-weak contraction is introduced and some fixed point theorems in the framework of b-metric space are proved.
Maryam Iqbal +3 more
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Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping
Annales Mathematicae Silesianae, 2021 In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space.
Roy Kushal +3 more
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Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in
Wasfi Shatanawi, Mihai Postolache
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Periodic points for the weak contraction mappings in complete generalized metric spaces
Fixed Point Theory and Applications, 2012 In this article, we introduce the notions of (ϕ - φ)-weak contraction mappings and (ψ - φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a periodic point for these two types of weak ...
Chi-Ming Chen, Chen Chi-Ming
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On (α,φ)-weak Pata contractions
MANAS: Journal of Engineering, 2022 In this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions.
Murat Özdemir, Merve Aktay
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Weak theta-phi-contraction and discontinuity
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In this paper, we introduce the notion of weak \(\theta\)-\(\phi\)-contraction ensuring a convergence of successive approximations but does not force the mapping to be continuous at the fixed point. Thus, we answer one more solution to the open question raised by \textit{B. E. Rhoades} [Contemp. Math. 72, 233--245 (1988; Zbl 0649.54024)].
Zheng, Dingwei, Wang, Pei
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Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set
Abstract and Applied Analysis, 2012 We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the ...
Wutiphol Sintunavarat +2 more
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On Multi-valued Weak Contraction Mappings
Journal of Mathematics Research, 2011 In this paper, we study fixed point theorems for multi-valued weak contractions. We show that the Picard projection iteration converges to a fixed point, give a rate of convergence and generalize Collage theorem. This work includes results on multi-valued contraction mappings studied by (Kunze, H.E., La Torre, D.
Kritsana Neammanee, Annop Kaewkhao
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