Results 51 to 60 of about 3,016 (161)
Suzuki-type fixed point results in metric type spaces
, 2012 Suzuki’s fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) and (Suzuki, Nonlinear Anal. 71:5313-5317, 2009) are extended to the case of metric type spaces and cone metric type spaces.
N. Hussain +3 more
semanticscholar +1 more source
Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well‐known results. We have also presented nontrivial examples to the derived results.
Rajagopalan Ramaswamy +2 more
wiley +1 more source
Weak and Semi Compatible Maps in Probabilistic Metric Space Using Implicit Relation [PDF]
, 2008 2000 Mathematics Subject Classification: 54H25, 47H10.The concept of semi compatibility is given in probabilistic metric space and it has been applied to prove the existence of unique common fixed point of four self-maps with weak compatibility ...
Dhagat, Vanita Ben, Sharma, Akshay
core
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The main focus in this article is to prove the existence and uniqueness of fixed point satisfying Reich graph contraction within the graph structure, in the context of the graphical extended b‐metric spaces. Our findings represent substantial expansions and broader generalizations of certain pioneering results within the current theoretical framework ...
Azham Ilyass +3 more
wiley +1 more source
Common fixed points of
Fixed Point Theory and Applications, 2011 In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj
Some new fixed point results in b-metric spaces
Topological Algebra and its Applications, 2018 In this paper, we consider, discuss, improve and generalize recent fixed point results for mappings in b-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh et al. [12] and Demma et al. [8].
Yildirim Isa, Ansari Arslan Hojat
doaj +1 more source
Generalized metrics and Caristi’s theorem
, 2013 A ‘generalized metric space’ is a semimetric space which does not satisfy the triangle inequality, but which satisfies a weaker assumption called the quadrilateral inequality.
W. A. Kirk, N. Shahzad
semanticscholar +1 more source
Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg +4 more
wiley +1 more source
Stability of common fixed points in uniform spaces
Fixed Point Theory and Applications, 2011 Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam +2 more
doaj
Open Mathematics, 2023 In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
doaj +1 more source