Sizes of sets and some fixed point theorems
Solution du problème de point fixe de Schauder
We give an affirmative answer to Schauder's fixed point question.
Solution of nonlinear integral equations via fixed point of generalized contractive condition
Solution to Fredholm integral inclusions via ( F, δ b )-contractions
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
Some approximate fixed point theorems without continuity of the operator using auxiliary functions
We introduce partial generalized convex contractions of order and rank using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in -complete metric spaces and -complete metric spaces. Also, as an application, some fixed point results in a metric space endowed with a binary relation and some approximate fixed point results in a metric space endowed with a graph have been obtained. Some examples...
Some cohomological aspects of the Banach fixed point principle
Let be a continuous selfmap of a compact metrizable space . We prove the equivalence of the following two statements: (1) The mapping is a Banach contraction relative to some compatible metric on . (2) There is a countable point separating family of non-negative functions such that for every there is with .
Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and -stability.
Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
The purpose of this paper is to establish some common fixed point results for -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
Some common fixed point results in cone metric spaces.
Some common fixed point theorems for biased mappings
Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings.
Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space
In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A-distance and an E-distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].
Some common fixed point theorems for weakly compatible mappings in metric spaces.
Some common fixed point theorems in complete -fuzzy metric spaces.
Some common fixed point theorems in Menger PM spaces.
Some Common Fixed Point Theorems in Menger Spaces
In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.
Some common fixed point theorems in normed linear spaces
In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and recent results...
Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators
We study some qualitative features like convergence, stability and data dependency for Picard-S iteration method of a quasi-strictly contractive operator under weaker conditions imposed on parametric sequences in the mentioned method. We compare the rate of convergence among the Mann, Ishikawa, Noor, normal-S, and Picard-S iteration methods for the quasi-strictly contractive operators. Results reveal that the Picard-S iteration method converges fastest to the fixed point of quasi-strictly contractive...
Some convergence theorems of a sequence in complete metric spaces and its applications.
Some coupled fixed point results on partial metric spaces.
Some coupled fixed point theorems in cone metric spaces.