unique fixed point
4. Applications of non-unique fixed point theorem of Ciric to nonlinear integral equations
... Abstract. In this paper we discuss the application of the non-unique fixed point theorem of ´ Ciri´ c to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of ...
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UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... some fixed point theorem are proved related to Complete Metric Space, in which the fixed point theorems in A Meir Emmatt [4], Brouwer [5], Caccioppoli [8] and Dolhare U P [1,2,3] as a special ...
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A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point II
... In , Boyd and Wong proved a very interesting fixed point theorem. See []. The concept of a Boyd-Wong contraction plays an important role in this paper. Indeed, using this concept, we give a condition ...
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Some unique fixed point theorems for rational contractions in partially ordered metric spaces
... In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main result of ...
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A common unique fixed point theorem for two random operators in Hilbert spaces
... random fixed points have attracted much attention, some of the recent literatures in random fixed points may be noted in [1, 2, 3, 7, 8, ...random fixed points of random operators have been discussed ...
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COMMON UNIQUE FIXED POINT THEOREM FOR RANDOM OPERATORS IN HILBERT SPACE
... random fixed point theorems in abstract spaces is initiated by Spacek [1] and Hans [2] and are the stochastic generalizations of the classical fixed point theorems in separable Banach ...
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Unique fixed point theorems on generalized cone metric spaces
... Improving the Dhage’(3,4,5) theory of generalized metric spaces, Mustafa and Sim (6,7) introduced the concept of G- metric spaces. Afterward Mustafa proved several fixed point theorems satisfying different ...
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Unique fixed point theorems for contractive maps type in T0-quasi-metric spaces
... Hence, many results established for metric spaces have their equivalent formulation for quasi-pseudometric spaces, the technicality of the proof being completely different.. E-mail addre[r] ...
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Generalization of fixed point theroms and selfmap of f orbitally complete d metric space
... some fixed point theorems are proved in D-metric ...of fixed point theorems and selfmaps in F-orbitally compete D-metric space which include unique fixed point results in ...
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Conditions of non-empty intersections of closed sets using non-self maps
... Abstract. In this paper, we find a set of conditions under which two closed subsets of a metric space have non- empty intersection. We show that the existence of a non-self map from one of the sets to the other ...
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On Stability of Iterative Sequences with Error
... In this paper, it is proved that s-iteration with error and Picard-Mann iteration with error iterative processes converge strongly to the unique fixed point of Lipschitzian strongly ...
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A common fixed point theorem for four weakly compatible mappings in complete metric space using rational inequality
... common unique fixed-point theorem for four continuous mappings in complete metric space using weaker condition such as weakly compatible and associated sequence in place of compatible mappings and ...
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EXISTENCE OF FIXED POINT AND BEST PROXIMITY POINT OF $p$-CYCLIC ORBITAL CONTRACTION OF BOYD-WONG TYPE
... Theorem 2. ([1]) Let X be a complete metric space and T : X → X be such that d(T x, T y) ≤ ψ(d(x, y)), x, y ∈ X, where ψ : [0, ∞) → [0, ∞) is upper semi continuous from the right and satisfies ψ(t) < t for t > 0 ...
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An improvement of known unique common fixed point theorems for four mappings on multiplicative metric spaces
... Hence d(u, w) = 1, i.e., u = w. Therefore u is the unique common fixed point of {A, B, S, T }. Remark 2.2. The condition (i) in Theorem 2.3 can be replaced by SX ⊂ B n X and T X ⊂ A m X Since S p X ⊂ ...
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SOME FIXED POINT AND COINCIDENCE POINT RESULTS IN PARTIAL METRIC SPACES
... that, fixed-point results in partial metric spaces have been studied by Ran and Reurings ...common fixed point results for non-commuting mappings without continuity in cone metric space with ...
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A Generalisation of Contraction Principle in Metric Spaces
... Altering distance has been used in metric fixed point theory in a number of papers. Some of the works utilising the concept of altering distance function are noted in 8–11. In 12, 2-variable and in 13 ...
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Vol 9, No 8 (2018)
... triangles. Fixed point theory was first studied by Poincare and developed by many mathematicians Brouwer, Banach, Schauder, Rhoades [4], ...A point z ∈ X is called a fixed point of ...
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An Improvement of a Known Unique Common Fixed Point Result for Four Mappings on 2 Metric Spaces
... an unique common fixed point theorem for four mappings with -contrac- tive condition [1,2] on 2-metric spaces in [1], where is a continuous and non-decreasing real function on 0, ...
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The unique symmetric positive solutions for nonlinear fourth order arbitrary two-point boundary value problems: a fixed point theory approach
... where, a b , are two arbitrary constants satisfying b 0, a = − 1 b and f C a b ( , 0, ) , 0, ) ) . Here we also demonstrate that under certain assumptions the above boundary value problem exist a ...
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Unique Common Fixed Point Theorem For Weakly Compatible Mappings In Digital Metric Space
... 2 ( , ) + ( , ) (2) If one of ( ), ( ), ( ), is a closed subset of , then { , } and { , } have a unique point of coincidence in . Moreover, if { , } and { , } are weakly compatible, then , , and have a ...
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