Strict Contractive Conditions Research Articles

On fixed points of generalized Kannan and Reich type contractive mappings

Kannan or Reich type strict contractive conditions do not ensure the existence of fixed points unless some strong conditions such as compactness of the space and continuity of the mapping are assumed. In this paper, our main aim is to investigate the existence of fixed point of generalized Kannan type contractive mappings in the setting of boundedly compact and T-orbitally compact metric spaces via orbital continuity. In addition to it, asymptotic regularity has been used to prove the Reich type fixed point theorem via altering distance functions. Supporting examples have been given to strengthen the hypotheses of our proved theorems.

A unique common fixed point for a family of set-valued mappings

Abstract The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6].

Fixed point theorem in intuitionistic fuzzy 3–metric space under strict contractive conditions

Fixed point theorem in intuitionistic fuzzy 3–metric space under strict contractive conditions

Common Fixed Point Theorems Under Strict Contractive Conditions in Fuzzy Metric Spaces

Fuzzy sets originally introduced Zadeh. Using Concept of fuzzy sets, various theories regarding giving new concepts of fuzzy metric spaces were considered by various authors. After that, many authors have studied fixed point theory in such spaces and proved various fixed point theorems in such spaces. In 1975, Kramosilet al. have introduced the concept of fuzzy metric spaces. In this paper, using concept of fuzzy metric space given by Kramosil et al., we prove common fixed point theorems for weakly compatible mappings satisfying strict contractive condition in fuzzy metric spaces by using property (E.A). Our proved results generalize known fixed point theorems in literature. We prove two common fixed point theorems in this paper, one for four maps and other one for two maps. Mathematics subject classification: 54E40, 54E35, 54H25.

A Unique Common Fixed Point for an Infinity of Set-Valued Maps

Abstract The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without continuity. These theorems generalize, extend and improve the result due to Elamrani and Mehdaoui ([2]) and others. Also, common fixed point theorems in metric spaces under strict contractive conditions are given.

Note on strict contractive conditions and common fixed point theorems with application

Abstract In this note we point out errors in the proofs of first two theorems contained in Demonstratio Mathematica, Vol. XLVI, no 2, 2013, 405-413. We also rectify the erratic theorems by employing a proper setting.

A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces

In this paper, we prove a unique common ran- dom fixed p oint t heorem i n t he f ramework o f c one random metric spaces for four weakly random compatible mappings under strict contractive condition. Some corollaries of this theorem for three and two weakly random compatible mappings and for one random mapping are derived. Two examples to justify our theorem are given. Our results extend some previous work related to cone random metric spaces from the current existing literature.

Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces

Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces

EMPLOYING COMMON LIMIT RANGE PROPERTY WITH VARIANTS OF R-WEAKLY COMMUTING MAPPINGS IN METRIC SPACES

The object of this paper is to emphasize the role of `common limit range property` and utilize the same with variants of R-weakly commuting mappings for the existence of common fixed point under strict contractive conditions in metric spaces. We also furnish some interesting examples to validate our main result. Our results improve a host of previously known results including the ones contained in Pant [Contractive conditions and common fixed points, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 24(2) (2008), 257-266 MR2461637 (2009h:54061)]. In the process, we also derive a fixed point result satisfying -contractive condition.

Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations.

Common fixed point theorems under strict contractive conditions in generalized fuzzy metric spaces

Common fixed point theorems under strict contractive conditions in generalized fuzzy metric spaces

Generalized Strict Contractive Conditions and Common Fixed Points

This paper is intended to obtain a common fixed point the- orem for a pair of self mappings satisfying a Lipschitz type analogue of strict contractive condition by using a relatively new notion of condi- tional reciprocal continuity wherein we never require conditions on the completeness of the space, noncompatibility or property ( E.A. ), continu- ity of any mapping and completeness ( or closedness) of the range of any one of the involved mappings.

Some Integral Type Fixed-Point Theorems and an Application to Systems of Functional Equations

In this paper, we prove a new common fixed point theorem for four self mappings by using the notions of compatibility and subsequential continuity (alternate subcompatibility and reciprocal continuity) in metric spaces satisfying a general contractive condition of integral type. We give some examples to support the useability of our main result. Also, we obtain some fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. We conclude the paper with an application of our main result to solvability of systems of functional equations.

Strict contractive conditions and common fixed point theorems with application

Abstract The aim of the present paper is to obtain common fixed point theorems under a strict contractive condition by assuming minimal commutativity conditions. Our theorems extend the results due to Pant and Pant [4]. In the setting of our results, we also provide pair of mappings which ensures the existence of a common fixed point; however, both the mappings are discontinuous at the common fixed point. We, thus, provide one more answer to the problem of Rhoades [10]. In the last section, we apply our results to solve an eigenvalue problem.

Common fixed point theorems for two hybrid pairs of mappings satisfying the common property (E.A) in Menger PM-spaces

Abstract In this paper, a new concept of the common property (E.A) for two hybrid pairs of mappings is introduced in Menger PM-spaces. Utilizing this concept, some common fixed point theorems, which shed some new light on the study of fixed point results for hybrid pairs in Menger PM-spaces, are obtained under strict contractive conditions. The corresponding results in metric spaces which generalize many known results are also obtained. Finally, an example is also given to exemplify our main results.

COMMON FIXED POINT THEOREMS FOR HYBRID MAPS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES

In this paper, we have established some common xed point theorems for two pairs of occasionally weakly compatible hybrid maps sat- isfying a strict contractive condition in a non-archimedean fuzzy metric space. Our result extend, generalized and fuzzify several xed point theo-

Common Fixed Point Theorems For Weakly Compatible Mappings In Generalisation Of Symmetric Spaces.

The main purpose of this paper is to obtain common fixed point theorem for weakly compatible mappings in generalisation symmetric spaces and a Property (E.A) introduced in (M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188). Our theorem generalizes theorems Duran turkoglu and ishak altun, a common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying Bol. Soc. Mat. Mexicana (3) Vol. 13, 2007.

Common Fixed Point Theorems for Sequence of Mappings in Generalisation of Strict Contractive Conditions

Common Fixed Point Theorems for Sequence of Mappings in Generalisation of Strict Contractive Conditions

A Fixed Point Theorem for Non-Continuous Maps Satisfying Integral Type Inequality

The main purpose of this paper is to establish the common fixed point theorem for non-continuous maps using the strict contractive condition of integral type under occasionally weakly compatible maps.

Fixed Point Theorem in Fuzzy Metric Spaces Satisfying E.A Property

The present paper is an attempt to prove common fixed point theorem for six mappings in fuzzy metric spaces. Our main result extends and improves the strict contractive conditions on fuzzy metric spaces and establishes the existence of common fixed points for six mappings under general contractive condition of integral type by using E.A property. The concept of weak compatible mappings is also used to prove the desired result.